MCQ of class 9 (Mathematics) Uint.1

Transcription

1 MCQ of class 9 (Mathematics) Uint. Select the correct answer in each of the following.. The order of matrix [ ] is... (a) -by-l l-by- -by-l (d) -by-. [ 0 0 ] is called... matrix. (a) zero unit scalar (d) singular. Which is order of a square matrix... (a) -by- l-by- -by-l (d) -by- 4. Order of transpose of [ 0 ] is (a) -by- -by- -by- (d) -by Adjoint of [ 0 ] is (a) [ ] [ ] [ ] (d) [ ] 6. Product of [x y] [ ] is = (a) [x+y] [x-y] [x-y] (d) [x+y] 7. If 6 x = 0, then x is equal to --- (a) (d) If X + [ 0 ] = [ 0 ], then X is (a) [ 0 ] [0 ] [ ] (d) [ ] equal to The order of the matrix [ ] is - (a) -by- -by- -by- (d) -by- 0. [ 0 0 ] is called matrix a) scalar zero unit (d) singular (a) -by- -by- -by- (d) -by-. Order of the transpose of [ ] 4 0 is Adjoint of [ ] is (a) [0 ] [ ] [0 ] (d) [ ]. If [ x ] is a singular matrix then x 4 = Additive inverse of [ ] is If [ 7 4 y ] = [7 ] then the 4 value of y = [ ] is a ---- matrix (a) 6 4 (d) 0 (a) [ ] [0 ] [ ] (d) [ ] (a) 4 (d) - (a) square row column (d) zero 7. If a matrix A is equal to its transpose then A is called ---- matrix (a) symmetric rectangular null (d) skew symmetric 8. (B t ) t = (a) B - B (d) Adjoint of B 9. If a square matrix A is skew symmetric then A t = Multiplicative inverse of a singular matrix is equal to = B (a) A - Adjoint of A -A (d) none of these (a) additive inverse does not exist Its adjoint (d) none of these

2 . A matrix having only one column is called matrix. A matrix having only one row is called matrix. If the number of rows of a matrix is not equal to the number of columns, then the matrix is called: (a) row singular column (d) none of these (a) column row square (d) Identity (a) Square matrix rectangular matrix scalar matrix (d) Diagonal matrix 4. In matrices (A+B) t =? (a) B t +A t A t B t A t +B t (d) B t A t. [ ] is called matrix: (a) Zero Unit Scalar (d) Singular 6. [ 0 0 ] is called matrix: (a) Zero Unit Scalar (d) Singular 7. Matrix A+B can be found, if order of A and B is: (a) Zero Equal - (d) Not equal 8. Inverse of Identity matrix is is called ---- matrix (a) Square rectangular scalar (d) Diagonal 9. If the determinant of a square matrix is equal to zero then is called --- matrix. a) Zero Unit Scalar (d) Singular 0. In matrix multiplication, in general, AB..BA (a) = (d) //. The order of matrix [ ] is... (a) -by- -by- -by- (d) -by-. Negative of matrix [ ] is --- (a) [ ] [ ] [ ] (d) [ ]. order of Identity (unit)matrix is always equal to matrix (a) Square rectangular row (d) null 4. Addition of two matrices [ 0 0 ] + (a) [ 0 ] [ ] [ ] (d) [ 0 ] [ 0 0 ]. Product of [ 0 0 ] [ ] (a) [ 6 ] [6 ] [6 ] (d) [ ] 6. If 0 x =, then x is equal (a) (d) 0 7. If [ a + 0 ] = [ 0 ], then a is (a) 6 (d) 0 equal to (AB) - = (a) A - B - B - A - AB (d) BA 9. (AB) t = (a) A t B t B t A t AB (d) BA 40. Inverse of matrix A is equal to AdjA deta A (a) (d) AdjA deta AdjA AdjA A t Unit. Real Numbers and Complex Numbers 4. (7x ) (a) x 7 4. Write x 9 in exponential form (a) x x 7 x 7 (d) x 7 x 9 x 8 (d) x 8 4. Write 4 with radical sign (a) (d) 4 6

3 44. In the radicand is (a) (d) none of these 4. ( 6 ) (a) (d) The conjugate of + 4i is... (a) - + 4i --4i -4i (d) +4i 47. The value of i 9 is... (a) - i (d) -i 48. Every real number is... (a) a positive integer a rational number a negative integer (d) a complex number 49. Real part of ab(i + i ) is... (a) ab (d) -abi abi (d) -ab 0. Imaginary part of i(i + ) is.. (a) - (d) -. Which of the following sets have the (a) {0} {0, } { 0, } (d) closure property w.r.t addition {,,. Name the property of real numbers used in (.. (a) additive identity additive inverse } multiplicative identity (d) multiplicative inverse. If z < 0 then x < y.. (a) xz < yz xz > yz xz = yz (d) none of these 4. If a,b ϵ R then only one of a = b o r a < b o r a > b holds is called...property. A non-terminating, non-recurring decimal represents number (a) Trichotomy transitive additive (d) multiplicative (a) a natural a rational an irrational (d) a prime = The number on the number line will be in between For all a, b ϵ R a, b ϵ R, the property used in it is (-) = 0, The property used in it is (a) (d) (a) 0 & & 0 & - (d) & 4 (a) Commutative property Closure property Multiplicative identity (d) Additive inverse (a) Commutative Associative Additive inverse (d) Multiplicative inverse 60. (8) (a) 4 6 (d) 8 6. The conjugate of -4- i is... (a) 4 + i -4 + i 4 - i (d) - - 4i 6. If Z = + 0i, the conjugate of Z = (a) + 0i 0i + 0i (d) none of these 6. i = (a) i +i i (d) In, the radicand is (a) (d) () 6. In exponential form y = --- (a) y y (y) (d) ( y )

4 66. The set {,,0} has closure property with respect to (a) addition multiplication division (d) both a & b 67. Every integer is a number (a) natural whole rational (d) prime 68. The numbers containing zero with (a) natural whole rational (d) prime natural numbers are called number 69. The numbers which cannot be (a) natural irrational rational (d) prime expressed as quotient of integer called number 70. π (pi) is a /an number (a) natural irrational rational (d) prime Unit- Logarithm 7. If a x = n, then... (a) a = logxn x = logna x = logan (d) a=lognx 7. The relation y = logz x implies... (a) x y =z z y =x x z y (d) y z = x 7. The logarithm of unity to any base (a) 0 e (d) 0 is The logarithm of any number to itself as base is. (a) 0 - (d) 0 7. loge = , where e.78 (a) (d) 76. The value of log ( p q ) is.. logp - logq logp logq log p + log q (d) log q - log p 77. logp logq = (a) log ( q logp ) log(p-q) p logq (d) log( p q ) 78. log(m n ) can be written as (a) (logm) n mlogn nlogm (d) log(mn) 79. logba logcb can be written as ---- (a) logac logca logab (d) logbc 80. logyx will be equal to (a) logzx logy z 8. In scientific notation 8600 = logxz logzx (d) logz y logy z logz y logz x (a) (d) In ordinary notation =---- (a) (d) Log00 = (a) (d) If Log = 0.00 and Log = then Log 6 = (a) (d).7 8. If log 9 = x then x = (a) 4 (d) 86. log (0. 7) = (a) log0.+log7 log( 87. logx logy = a) log( x 0. y ) log (x y ) log ( x y 7 ) c) log0.-log7 (d)log(0.) ) (d) log (x y) 88. If log 648 = x then x=----- (a) (d ) e (a) (d) log log 8 = (a) 4 (d) 9 9. Who gave the idea of logarithms? (a) Johan Napier Henry Briggs Khwarizmi (d) Jobst Burgi 9. Who prepared the logarithm table? (a) Johan Napier Henry Briggs Khwarizmi (d) Jobst Burgi 9. Base of common logarithm is (a) 0 e (d) In scientific notation 46.9 = (a) The integral part of the common logarithms of a number is called (d) (a) characteristic mantissa antilog (d) none of these

5 96. The decimal part of the common logarithms of a number is called 97. If log ay = x, then y is called of x (a) characteristic antilog (a) base antilog mantissa (d) none of these mantissa (d) common Unit-4 Algebraic Expressions 98. 4x + y- is an algebraic... (a) expression sentence equation (d) inequality 99. The degree of the polynomial 4x 4 +x y is (a) (d) a + b = (a) (a-b)(a +ab+b ) (a+b)(a -ab+b ) (a-b)(a - ab+b ) (d) (a-b)(a +ab-b ) 0. ( + ) ( - ) is equal to (a) (d) 0. Conjugate of the surd a + b is (a) -a + b a + b a - b (d) a - b 0. ( a + b ) ( a - b ) = - (a) a + b a - b a - b (d) a + b 04. x y is equal to (a) (x+y)(x -xy-y ) (x+y)(x +xy-y ) (x-y)(x +xy+y ) (d) (x-y)(x -x 0. If x + = then x + = - (a) (d) 9 x x If x - x = 4, then a) 8 6 (d) 0 ( x - x ) = ( x + ) ( x - ) = -- (a) x- x-4 x+ (d) x The factorization of (a) (x+ )( x ) (x-)(x-) x = (x+)(x+) (d) (x+ )(x - ) = (a) y x x y x+y x y x y y (d) x x +y x +y 0. If S = + then S + = (a) 4 (d) 0 S (x + y )( x -xy +y ) = ---- (a) x - y x + y x - y (d) x + y. x y x+y = (a) x+y x-y x y (d) x +y. Conjugate of + = --- (a) (d) Factorization of (a) ( x-y )(4x -0xy+y ) ( x-y )(4x +0xy+y ) 8x y = ( x+y )(4x +0xy+y ) (d) ( x+y )(4x -0xy+y ). After rationalization 6 = (a) 8 9 (d) 6. 8 = (a) 8 6 (d) 4 7. ( + )( - ) = (a) 6 / (d) 4 If x=, y= -, z= - then zx y = (a) - (d) x+y 8. x + y = --- (a) (x+y) (x-y) (x - y ) (d) (x + y ) x +xy+y x y 9. x 4 = (a) (x+ )( x ) (x-4)(x+4) (x +)(x -) (d) (x-)

6 0. X + x = (a) (x + x ) ( x + x - ) (x - x ) ( x + x + ) (x - x ) ( x + x - ) (d) (x + x ) ( x + x + ). ( a + b ) +( a - b ) =? (a) 4ab (a +b ) ( a + b + c ) (d) (a -b ). The degree of polynomial (a) (d) 4 x y +xy-y. ( x - ) =? a) (x + )(x ) x x x x + + x x + - (d) x x - x 4. order of surd x is a) (d). =? (a) (d) A surd which contains a single term is called. 7. Conjugate of x + y = a) monomial surd binomial surd none of these (d) mixed surd a) x + y x - y x - y (d) x + y 8. A surd which contains a) monomial surd binomial surd sum or difference of is called. none of these (d) mixed surd 9. An irrational radical with a) rational expression rational sentence rational radicand is called---- surd (d) none of these n 0. In x n is called a) radicand surd index conjugate of surd (d) constant. The degree of polynomial a) 4 8 (d) 7 x 4 y +x y +8. 4x + x- is an (a) expression sentence x equation (d) inequality. x+ x+8 is a a) rational expression irrational expression algebraic number (d) polynomial 4. ( a + b ) is equal to a) a +b +ab a +b -ab a -b +ab (d) a -b -ab. ( x + ) =, then (a) (d) 4 x x + x =? 6. ( a - b ) = (a) a +ab(a+b) +b a -ab(a-b) - b a +ab(a-b) - b (d) a +ab(a-b) +b 7. (x-y)(x +xy+y ) =---- a) x y x + y (x-y) (d) (x+y) 8. a +b is equal to (a) ( a + b ) +ab ( a + b ) -ab ( a - b ) -ab (d) ( a - b ) +4ab Unit- Factorization 9. The factors of x -x +6 are Factors of 8x +7y are Factors of x x are Factors of a 4 4b 4 are What will be added to complete the square of 9a -ab? (a) x +, x -6 x-, x- x+6,x- (d) x+, x+ (a) (x + y), (4x + 9y ) (x + y), (4x + 9y ) (x + y), (4x -6xy + 9y ) (d) (x - y), (4x -6xy + 9y ) (a) (x + ), (x ) (x + ), (x + ) ( x - ), (x ) (d) (x - ), (x + ) (a) (a b),(a+b),(a +4b ) (a -b ),(a +b ) (a b),(a+b),(a -4b ) (d) (a-b),(a +b ) (a) -6b 6b 4b (d) -4b

7 44. Find m so that x +4x +m is a complete square Factors of x -7xy-y are (a) (d) 6 (a) (x+4y),(x+y) (x-4y),(x-y) (x-4y),(x+y) (d) (x-4y),(xy) 46. Factors of 7x - x are ---- (a)(x- x ), (9x ++ x ) (x+ x ), (9x ++ x ) (x- x ), (9x -+ x ) (d) (x+ x ), (9x -+ x ) 47. Factors of 4a 6 are (a) (a+4),(a-4) (a+),(a-) ---- (a+4),(a+4) (d) (a-),(a-) 48. (x+y)(x -xy+y ) =? a) x y x + y (x-y) (d) (x+y) 49. Factors of a 4 6 are (a) (a ),(a+),(a +4) (a -),(a +) -- (a ),(a+),(a -4) (d) (a-),(a +4) 0. If (x-)is a factor of a) - (d) - p(x)=x +kx+8, then k is equal to. What will be added to a) b b 4b (d) -4b complete the square of 4a +4ab? The polynomial(x-a) is the a) P(x) = 0 P(a) = 0 factor of p(x)if: P(a) 0 (d) none of these. a +ab (a+b) +b =? a) a +b (a-b) a - b (d) (a+b) 4. 8X - 7y a) (x- ), (4x + x y 9y ) (x- ), y (4x + x y 9y ) (x + ), y (4x + x y 9y ) (d) (x - ), y (4x - x y 9y ). What will be added to (a) -9b 9b b (d) -b complete the square of 4a -ab? Find k so that x +6x +k is a a) 4 (d) 9 complete square If 9x -6x+ is divided by a) (d) 7 x- then remainder is 8. If 4x -4x+ is divided by a) 0 6 (d) 6 x- then remainder is 9. Factors of -y are a) ( -x), (+x + x ) ( +x), (+x + x ) ( +x), (-x -x ) (d) ( +x), (-x + x ) 60. Factors of ka+ kb+ kc are a) (a+b+c)k (a+b+c)k (a+b+ck)k (d) (a+b+ck)k 6. Factors of +ab-a -b are a) (-a-b) (-a-b) (-a+b) (-a-b) (+a+b) (-a-b) (d) (-a+b) (+a-b) 6. Factors of a b +b a are a) ( a - b b a ) ( a + b b a ) ( a - b b a ) (d) ( a + b b 6. Factors of a) (a+b)(c+d) (a+b) (c+d) ac+ad+bc+bd are (a -b )(c +d ) (d) (a +c )(b +d ) 64. Factorize 4x -x 4 are a) (x-x ) (x+x ) (x-x) (x+x ) (x-x) (x+x) (d) (x+x ) (x+x ) 6. Unit-6,7 (Algebraic Manipulation) and (Linear Equations) a ) 66. H.C.F of p q pq and p q p q is H.C.F of x y and 0x y is H.C.F. of x- and x +x-6 is H.C.F. of a + b and a - a b +b is (a) pq(p -q ) pq(p - q) p q (p-q) (d) pq(p q ) (a)x y 0x y 00x y (d) xy (a) x +x-6 x+ x- (d) x+ (a) a+b a - a b +b (a-b) (d) a + b

8 70. H.C.F. of x -x +6 and x -x-6 is H.C.F. of a b and a b is H.C.F. of x +x+, x +4x+ and x +x+4 is L.C.M. of x, 4xy and 0xyz is L.C.M. of a + b and a 4 b 4 is The product of two algebraic expressions is equal to the ---- of their H.C.F and L.C.M. a 76. Simplify =-- 9a b a b 77. Simplify a +a 4 a+ =--- a a 8 a Simplify a b a +ab+b = a 4 b 4 a b (a) x- x+ x -4 (d) x- (a) a b a+b a +ab+b (d) a ab+b (a) x+ (x+)(x+ ) x+ (d)(x+4)(x+) (a) 90xyz 90x yz xyz (d) x yz (a) a +b a b a 4 b 4 (d) a - b (a)sum Difference Product (d) Quotient (a) 4 4a b 9a b 9a b (a) a+7 a 6 (a) a+b a+7 a b a b 4a+b 9a b (d) b 9a b a+ a 6 (d) a a+ a b (d) a+b a + b a + b 79. Simplify ( x+y x+y -)(- x x+y ) (a) x x+y y x+y y x (d) x y 80. The square root of a a + is 8. What should be added to complete the square of x 4 +64? -- (a) ±(a+) ±(a-) a- (d) a+ (a) 8x -8x 6x (d) 4x 8. The square root of x 4 + x 4 + is (a) ±(x+ x ) (x + x ) ±(x- x ) (d) ±(x - x ) 8. Which of the following is the solution of the inequality - 4x? A statement involving any of the symbols <, >, o r is called (a) (d) None of these (a) equation identity inequality (d) linear equation 8. x = is a solution of the inequality - < x < (a) - 0 (d) 86. If x is no larger than 0, (a) x 8 x 0 x < 0 (d) x > 0 then If the capacity c of an elevator a) c < 600 c 600 c 600 (d) c > 600 is at most 600 pounds, then 88. x = 0 is a solution of the (a) x > 0 x + < 0 x + < 0 (d) x - < 0 inequality (x+)= (x+) is a/an a) identity inconsistent conditional (d) equivalent 90. Equation having exactly the a) identity Equation inconsistent Equation same solution are called conditional Equation (d) equivalent Equation 9. Product of two algebraic a) H.C.F + L.C.M H.C.F - L.C.M expression is equal to H.C.F (d) H.C.F L.C.M L.C.M

9 9. The square root of (a) ±(x+ x x x x ) + 4x - is (d) ±(x- ) x 9. What should be added to (a) 8x -9x 6x (d) 4x complete the square of x 4 +6? General form of linear a) ax+b=0 ax+b 0 a+b=0 (d) ax +bx+c=0 equation is 9. General form of linear a) ax+b 0 ax+b 0 a+b 0 (d) ax +bx+c 0 inequality is 96. The solution set of a) -8 6 { } (d) 4 x 4 = The solution set of x =4 a) {, } {, } {, } (d) {, } 98. x is equal to a) -x x x (d) ± x 99. The solution of equation a) {0 } {6 } { 0 } (d) { 4 } x =7 is 00. If a<b or a=b or a>b,then a) trichotomy property Transitive property this property is called closure property (d) Associative property 0. Simplify x +x+ a) x+ (d) x- x 9 x 4x+ x+ x 0. Simplify (d) a+b ab a+b a b b a a b a ab+b a) Unit- 8,9 (Linear Graphs) and (Coordinate Geometry) 0. Distance between points (0, 0) and (, ) is Distance between the points (,0) and (0, ) is Mid-point of the points (, ) and (0, 0) is Mid-point of the points (, -) and (-, ) is A triangle having all sides equal is called (a) 0 (d) (a) 0 (d) (a) (, ) (, 0) ( 0,) (d) (-,-) (a) (,) (-, -) (0,0) (d) (,) (a) Isosceles Scalene Equilateral (d) None of these. 08. A triangle having all sides different is called (a) Isosceles Scalene Equilateral (d) None of these 09. If (x-,y+) = (0,0), then (a) (,-) (-,) (,) (d) ( -,-) (x,y) is 0. If (x, 0) = (0, y), (a) (0,) (,0) (0,0) (d) (,) then (x, y) is. Point (, -) lies in quadrant (a) I II III (d) IV. Point (-, -) lies in quadrant a) I II III (d) IV. If y = x+ l,x = then y is (a) 4 (d) 4. Which ordered pair satisfy the (a) (,) (,) (,) (d) (0,) equation y = x.. The distance formula is a) d = (x x ) + (y y ), d = (x x ) (y y ) d = (x + x ) + (y + y ) (d) ) d = (x + x ) (y + y ) 6. Distance between the points (a) (d) (,) and (0, ) is Origin lies on line a) x= - -y=0 y=x (d) x+y= 8. Point (0,0) lies on a) X-axis Origin Y-axis (d) I-quad

10 9. The graph x=- is a (a) horizontal line vertical line in between both (d) none of these 0. Point (,) lies in (a) I II III (d) IV quadrant. Point (-,) lies in quadrant (a) I II III (d) IV. A triangle is formed by noncollinear points.. Each side of the triangle has collinear vertices. 4. A line segment has end points.. All the points that lie on the x-axis are 6. A triangle having all sides different is called 7. Point O where perpendicular co-ordinate axes intersect each other is called 8. In p(x,y), x-coordinate is called 9. In p(x,y), y-coordinate is called 0. Point O is represented by order pair. If (x+, y-) = (,) then (x,y) is equal to. The study of geometrical shapes in a plane is called. The study of geometrical shapes in the Cartesian plane is called 4. If the length of two sides of a triangle is same and the length of third side is different, then it is called. A closed figure formed by four non collinear points having equal four sides and each angle of 90 is called Unit 0 to 7 (a) One two three (d) six (a) one two three (d) so many (a) one two three (d) four (a) collinear non-collinear congruent (d) parallel (a) isosceles scalene equilateral (d) none of these (a) Abcissa Origin Ordinate (d) Co-ordinate (a) Origin Abcissa Ordinate (d) None of these (a) Origin Abcissa Ordinate (d) None of these (a) (,) (-,-) (0,) (d) (0,0) (a) (,-) (-,) (,) (d) (-6,-) (a) plane axis plane geometry Cartesian geometry (d) coordinate geometry (a) Plane axis Plane geometry Coordinate geometry (d) Cartesian geometry (a) Equilateral triangle Isosceles triangle Right angled triangle (d) Scalene triangle (a) Square rectangle Parallelogram (d) circle 6. Symbol used for ( ) (a) ~ (d) correspondence is 7. Two parallel lines intersect (a) one two so many (d) no where at points 8. Three points are said to be (a) same different both A and B (d) none of these collinear if they lie on.lines. 9. A ray has end points. (a) one two three (d) so many 40. Two lines can only intersect (a) one two three (d) so many at points. 4. Diagonals of a rectangle are (a)collinear concurrent congruent (d) parallel 4. Diagonals of a parallelogram (a) intersect don t intersect trisect (d) none each other at a point

11 4. In a parallelogram opposite (a)collinear concurrent congruent (d) non-collinear sides are 44. A line has end points (a) one two three (d) no 4. Bisection means to divide (a)one two three (d) six into -----equal parts. 46. The right bisectors of a sides (a)collinear concurrent congruent (d) non-congruent of triangle are 47. The right bisectors of a sides (a)inside the triangle on hypotenuse of obtuse triangle intersect each other outside the triangle (d) on vertex 48. Any point on the right (a) collinear EQUIDISTANT bisector of a line segment is parallel (d) non equidistant from its end points. 49. The right bisectors of a sides of an acute triangle intersect each other (a) inside the triangle on hypotenuse outside the triangle (d) on vertex 0. Any point on the bisector of (a) congruent EQUIDISTANT an angle is from its arms parallel (d) non equidistant. Signs used for congruency (a) ~ (d) < are. (a) ASA postulate SAS postulate SSS postulate (d) AAA postulate. In congruency of two (a) ASA postulate SAS postulate triangles if one side and two angles of a triangle are congruent to corresponding side and angles of other triangles are congruent by postulate. SSS postulate (d) AAA postulate 4. Sum of all interior angles of (a)90 o 0 o 80 o (d) 60 o a triangle is. How many right angles in (a) one two three (d) four triangles? 6. Medians of a triangle are (a) concurrent non- concurrent equidistant from the sides (d) equidistant from the angles 7. If two angles of a triangle (a) congruent non-congruent equal (d) similar are congruent then the sides opposite to them are 8. If angle bisector of a triangle bisects the side opposite to it, the triangle is 9. Opposites sides of congruent angles of a triangle are 60. Medians of an equilateral triangle are 6. Each diagonal of a parallelogram divides into 6. If two opposite sides and angles of a quadrilateral are congruent then it is called 6. Right bisectors of the sides of a right angled triangle intersect each other (a) right angled obtuse angled acute angled (d) isosceles (a) congruent non-congruent parallel (d) similar (a) equal in measure unequal in measure congruent (d) parallel (a) two congruent triangles two non-congruent triangles three congruent triangles (d) three non-congruent triangles (a)rectangle rhombus trapezium (d) parallelogram (a) inside the triangle outside the triangle on hypotenuse (d) none of these 64. The bisectors of angles of a (a) concurrent non- concurrent triangle are. equidistant from its sides (d) equidistant from its angles 6. Symbol used for similarity is (a) ~ (c (d) : 66. Similar triangles are of same (a) same different

12 shape and.. sizes. both A and B (d) none of these 67. How many lines can be (a) one two three (d) so many drawn through two points 68. Ratio has no: (a) antecedent consequent order (d)unit 69. Similar triangles are (a)collinear parallel congruent (d) non-congruent 70. The angle opposite to grater (a) lesser equal greater (d)lesser or equal side is 7. Sum of two sides of triangle is.than the third 7. A distance between a line and a point on it is 7. Perpendicular to line form an angle of 74. In a right triangle greater angle is of 7. In a right triangle, side opposite to right angle is called (a) lesser equal greater (d)greater or equal (a) cm double than line zero (d) less than line (a) 0 o 4 o 60 o (d) 90 o (a) 4 o 60 o 90 o (d) 0 o (a) perpendicular base hypotenuse (d) vertex 76. If a, b, c are sides right triangle with c as longer side, then 77. If hypotenuse of an isosceles right triangle is cm, then each of the other side is of length: 78. If a +b > c, then the triangle is 79. Congruent triangles are of same shape and sizes. 80. If two sides of a triangle are unequal in length, the angle of the longer side opposite to it is of measure 8. In a scalene triangle the angle opposite to the largest side is of measure 8. In an isosceles right angled triangle, angle other than right angle are each of 8. How many obtuse angles in a triangle 84. Which of the following sets form a triangle 8. If a, b, and c are the sides of right angled triangle and c is hypotenuse then according to the Pythagoras theorem 86. If a, b, and c are the sides of obtuse angled triangle then the value of hypotenuse c is 87. Two sides of a triangle measure cm and 6cm, which of the following measure is possible for the third side 88. If cm and 4cm are the two sides of a right angled triangle then (a) c < a + b c = a + b c > a + b (d) c a + b (a) cm cm 4cm (d) cm (a)right triangle acute triangle obtuse triangle (d) none of these (a) same different both A and B (d) none of these (a) greater than others lesser than others equal (d) none of these (a) less than 60 equal to 60 greater than 60 (d) greater than 80 (a) 0 o 4 o 60 o (d) 7 o (a) (d) none of these (a) cm,cm,cm cm,4cm,cm cm,cm,6cm (d) cm,4cm,7cm (a) c < a + b c = a + b c > a + b (d) c +a = b (a) c < a + b c = a + b c > a + b (d) c +a = b (a) cm 0cm 0cm (d) cm (a) 9cm 8cm 6cm (d) cm

13 the hypotenuse is 89. Ratio between two elements a and b is represented as 90. If ABC and DEF are two similar triangles, then symbolically they are written as 9. Similar means that their corresponding angles are congruent and corresponding sides are 9. A line segment has mid points 9. If adjacent angles of two intersecting lines are congruent then lines are (a) a b a+b a-b (d) a:b (a) ABC DEF ABC = DEF ABC ~ DEF (d) ABC DEF (a) Similar parallel proportional (d) equal (a) (d) 4 (a) parallel to each other not parallel to each other perpendicular to each other (d) congruent to each other 94. Angle for the minimum (a) m< PLA=80 m< PLA=0 distance of a point p from the line segment AB will be m< PLA=90 (d) m< PLA=60 9. A diagonal of a parallelogram divides it into --- congruent triangles. (a) two three four (d) six 96. Similar figures have ---area. (a) same different both A and B (d) none of these 97. In a triangle, perpendicular from vertex to the opposite side is called (a)base hypotenuse median (d) altitude 98. Congruent figures have --- (a) same different both A and B (d) none of these area 99. The line segment joining a vertex of a triangle to the mid-point of its opposite side is called: (a)right bisector side bisector median (d) altitude 00. The point of concurrency of the right bisectors of the three sides of the triangle is---from its vertices. (a)collinear parallel equidistant (d) non- equidistant 0. The altitudes of a right triangles are concurrent at the---of right triangle. (a)base hypotenuse perpendicular (d) vertex 0. The diagonal of a (a) bisect trisect bisect at right angle (d)don t bisect parallelogram-----each other. 0. A point equidistant from the (a)bisector right bisector perpendicular (d)median end points of a line segment on its: 04. The---altitudes of an (a) two three four (d) six isosceles triangle are concurrent. 0. The medians of a triangle (a)4: : : (d) : cut each other in the ratio: congruent triangles can be made by joining the mid-points of the sides of the triangle. 07. On angle on the base of an isosceles triangle is 0 o. What is the measure of its vertical angle? 08. The bisectors of three angles of a triangle are: 09. The side of right-angled triangle opposite to 90 O is called: (a)three four five (d)two (a) 0 o 60 o 90 o (d) 0 o (a)collinear congruent concurrent (d)parallel (a)base perpendicular altitude (d) hypotenuse

14 0. The region enclosed by the bounding lines of a closed figure is called:. If the length and the width of a rectangle are a and b, then area of rectangle will be:. Two lines which are extended from both of its sides and they will never intersect are called:. If one side of a parallelogram is taken as its base, the perpendicular distance between that side and the side parallel to it is called: 4. Perpendicular from vertex of triangle to the opposite side is called:. Area of parallelogram is equal to Basic parts of a triangle are : 7. A quadrilateral having each angle equal to 90 o is called 8. The right bisectors of three sides of a triangle are 9. A triangle having two sides congruent is called: 0. If three or more lines pass through a single point then they are called. If three altitudes of a triangle are congruent, then the triangle will be:. If two medians of a triangle are congruent, then the triangle will be: (a) m m m (d) m (a) a + b a b a b (d) a b (a)perpendicular lines non-parallel lines parallel lines (d)none of these (a)base hypotenuse median (d) altitude (a)base hypotenuse median (d) altitude (a) hypotenuse altitude perpendicular altitude base altitude (d) altitude altitude (a) three four five (d) six (a) rectangle parallelogram trapezium (d)rhombus (a)congruent collinear concurrent (d) parallel (a) scalene equilateral right-angled (d) isosceles (a)collinear lines non-collinear lines collinear points (d) parallel lines (a) scalene equilateral right-angled (d) isosceles (a) scalene equilateral right-angled (d) isosceles Mixed MCQ of Full book. Point (0,) lies on (a) I quad II quad X-axis (d) Y-axis 4. Point (,0) lies on (a) I quad II quad X-axis (d) Y-axis. The -----of circle is on the (a) Chord radius center (d) sector right bisector of each of its chords. 6. A line segment has end (a) (d) 4 points 7. If three points lies on same (a) collinear non-collinear parallel (d) opposite line then these points are called. 8. Unit of ratio is (a)sec meter Kg (d) no unit 9. Symbol stands for (a)congruent equal similar (d) correspondence 0. One angle of a parallelogram is 0.the remaining angles rae of measure. The point of concurrency of angle bisector of a triangle is called (a) 0, 4 0, 7 0 0, 0, 0 0 0, 7 0, 7 0 (d) 0, ` 0, 0 (a)orthocenter incenter centroid (d)circum center

15 . Right bisectors of the sides of a Acute angled triangle intersect each other. The point of concurrency of median of a triangle is called 4. H.C.F of 9x 7 y and 9x y 6 z is Which of the following is the solution of the inequality 7+x? Mid-point of the points 7. (-4, 9) and (-4, -) is If a line segment intersect the two sides of a triangle in the same ratio then it is -----to the third side 9. The point of concurrency of the perpendicular bisector of the sides of a triangle is called its Area of triangle with base 6cm and altitude 0cm is 4. (a) inside the triangle outside the triangle on hypotenuse (d) none of these (a)orthocenter incenter centroid (d)circum center (a)x 7 y 6 z x y z 9x 7 y 6 z (d) 9x 7 y 6 z (a) (d) - (a) ( - 4, ) (- 8, 6) ( 0,-) (d) (-8,6) (a) larger similar parallel (d) equal (a)orthocenter incenter centroid (d)circum center (a) 6cm 60cm 80cm (d) (0+6)cm (a) perpendicular congruent ( parallel (d) equal 4. Congruent triangles are (a) parallel similar different (d) none these 4. In a parallelogram congruent (a) opposite sides opposite angles diagonals (d) parts are opposite sides & angles 44. Symbols for parallelogram is (a) = // gm// (d) //gm 4. Any point inside an (a)side angle triangle (d) cicle equidistant from its arms is on the bisector of it. 46. If a:b=c:d then a, b,c and d (a)proportion Ratio equal (d) unequal are said to be in 47. The unit of area is -----real (a)negative positive neutral (d) negative & positive number 48. In a opposite sides are (a) parallelogram triangle trapezium (d)none of these congruent. 49. The perpendicular bisectors (a)collinear concurrent congruent (d) non-congruent of a sides of triangle are 0. In scientific notation (a) (d) is = Point (0,) lies on (a) I quad II quad X-axis (d) Y-axis. Point (,0) lies on (a) I quad II quad X-axis (d) Y-axis. The -----of circle is on the right bisector of each of its chords. (a) Chord radius center (d) sector 4. A line segment has end points (a) (d) 4. If three points lies on same line then these points are called. (a) collinear non-collinear parallel (d) opposite 6. Unit of ratio is (a)sec meter Kg (d) no unit 7. Symbol stands for (a)congruent equal similar (d) correspondence

16 8. Area of square of side cm (a) cm cm 0 cm (d)0 cm Is None collinear points determine (a) (d) 4 a plane. 0. If [ 6 ] is a singular matrix then (a) -4 (d) 4 x x = Parallelogram on equal bases and (a) un equal equal congruent (d) similar having the altitude are -----in area. The point of concurrency of three (a)orthocenter incenter centroid (d)circum center altitude of a triangle is called A triangular region is -----of triangle (a)compliment intersection union (d) outline and its interior. 4. The hypotenuse of a right angle (a) double half longer (d) shorter triangle is --- then each of the other two sides.. How many right angles have a (a)4 (d) 0 parallelogram? 6. Symbol "for all is (a) A (d) 7. Mid-point of the points (8, 0) and (0, - (a) (-,8) (4, 0) (4,-6) (d) (0,-6) ) is Which of the following is the solution of (a) - -7 (d) 9 the inequality 9-7x 9-x? The value of ( i) 8 is... (a) - i (d) -i 0. Antilogarithm table was prepared by (a)john Napier Henry Briggs Jobst Burgi (d) Arthur Calley. Artur Cayley introduced the Theoy (a) (d) 860 of Matrices. The symbol used for line AB is (a) AB AB AB (d) AB. Equality of two ratios is called (a) ratio proportion congruent (d) equality 4. Bisection of an angle means to divide into -----equal parts (a)one two three (d) six. Diagonals of a parallelogram divides (a) (d)4 parallelogram into ----congruent triangles. 6. Obtuse angled triangle having ---- (a) (d) none angle greater than The symbol used for line segment AB (a) AB AB AB (d) AB is 8. The symbol used for ray AB is (a) AB AB AB (d) AB 9. The distance between a line and a (a) double half zero (d) equal point on it What will be added to complete the square of x 4 +64? (a) 8x -8x 6x (d) 4x 7. In exponential form x = --- (a) x x 7 (x) 7 (d) ( x) 7. A triangular -----is the union of a (a) region interior exterior (d) Area triangle and its interior.. Which set has closure property with respect to addition (a){0} {0, } {0, -} (d){, } 4. A parallelogram has ----vertices. (a) 4 (d). A line segment has mid points (a) 4 (d) 6. The idea of Matrices is given by (a)john Napier Henry Briggs Al- khawarzmi (d) Arthur

17 Calley 7. The characteristics of.79 (a) 0 - (d) - 8. The number of methods to determine HCF are (a) 4 (d) 9. Right bisection of mean to draw a perpendicular which passes through the mid-point of line segment. (a) Line ray line segment (d) angle 40. In a triangle there can be ---- right angle. (a) 4 (d) 4. If three altitude of triangle are congruent. then the triangle is (a) Equilateral right angled isosceles (d) acute angled 4. Diagonals of a rectangle are ---- (a)congruent equal parallel (d) concurrent 4. Area of = base altitude (a) triangle square parallelogram (d) rectangle 44. Area of = side side (a) triangle square parallelogram (d) rectangle 4. Area of = length breadth (a) triangle square parallelogram (d) rectangle 46. Area of = base altitude (a) triangle square parallelogram (d) rectangle 47. An expression in the variable x is (a)algebraic expression polynomial expression rational expression (d) irrational expression 48. A square matrix M is called to skew symmetric matrix if (a) M t = M M t = M M t = M (d) M t = M 49. Medians of a triangle are---- (a) 4 (d) 0. The region enclosed by the bounding (a)volume Area Surface Area (d) Density lines of a closed figure is called:. Symbol used for approximately is ---- (a) ~ (c (d)