(This type of questions may be asked in the examination )

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Deborah Tate
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1 34. The slope of a straight line parallel to the line 2x + 4y + 5 = 0 is... a) 2 b) 1 / 2 c) - 1 / 2 d) The angle of inclination of a straight line whose slope is is... a) 0 0 b) 30 0 c) 60 0 d) The father of Geometry is The angle of inclination of the straight line 5y = 5x + 10 is... a) Euclid b)thales c) Hipparchus d) Pythagoras a) 0 0 b) 30 0 c) 60 0 d) The father of trigonometry is In ABC, AB=6cm and AD is the angle bisector of A a)euclid b)thales c) Hipperchus d) pythagoras If BD : DC = 3 : 2 then AC = The father of algebra = a) 4 cm b) 6 cm c) 8 cm d) 10 cm a)diophantus b) Aryabhatta c) Al-khwarizmi d)demorgan 38. If A + B = 90 0 then SinA CosB + CosA SinB = The G.C.D of 15x 4 y 3 z 5,12x 2 y 7 z 2... a) 2 b) 1 c) 0 d) 45 0 a) 15x 4 y 7 z 5 b)3x 2 y 3 z 2 c)12x 2 y 3 z 2 d)3x 4 y 7 z = The G.C.D of 35x 5 y 3 z 4, 49x 2 yz 3, 14xy 2 z 2... a) sin θ + cos θ b) sin θ - cos θ c) sin θ cos θ d) cosec θ + cot θ a) 7 xyz 2 b) 7 x 5 y 3 z 4 c) 35 x 5 y 3 z 4 d) 7x 2 y 2 z Cosec tan = The L.C.M of 35a 2 c 3 b, 42 a 3 cb 2, 30 ac 2 b 3 =... a) 0 b) -1 c) 1 d) 2 a) 75 a 2 b 2 c 2 b) 210 a 3 b 3 c 3 c) 210 a 3 b 2 c 2 d) 30 a 3 b 3 c 3 ********** X UNIVERSAL MATRIC HR SEC SCHOOL MATHEMATICS Creative Questions (This type of questions may be asked in the examination ) 7. The LCM of a m+1, a m+2, a m+3 =... a) a m+3 b) a m+1 c) a m+2 d) a m+6 8. The lowest term of x a) (x + 2 ) b) ( x - 2 ) c) ( 2x + 1 ) d) 3x 9. The square root of 121 x 8 y 6 81 x 4 y 8... a) b) c) d) a) 10. The square root of 289 ( a - b ) 4 ( b - c ) 6... a) 17 ( a - b ) ( b - c ) b) 17 ( a - b ) 2 ( b - c ) 2 c) 17 (a - b ) 2 ( b - c ) 3 d) 17 ( a - b ) 4 ( b - c ) 6

2 11. Matrix A = [ aij ] m x n is a row matrix if Matrix A = [ aij ] m x n is a column matrix if Matrix A = [ aij ] m x n is a square matrix if ( sin θ + cos θ ) 2 - ( sin θ - cos θ ) 2 =... a) 1 b) 4 sin θ cos θ c) 0 d) 2 sin θ cos θ 15. If sin θ = cos θ thenn the value of θ is... a) 0 0 b) 30 0 c) 45 0 d) The equation of a straight line parallel to y - axis is... a) x = 0 b) y = 0 c) x = k d) y = k 24. The equation of a straight line parallel to x - axis is... a) x = 0 b) y = 0 c) x = k d) y = k 25. The mid point of the line joining ( 3, 0 ) and ( - 1, 4 ) is... a) ( 1, 2 ) b) ( 2, 4 ) c) ( 2, 1 ) d) ( 2, 2 ) 26. The value of a) 510 b) 600 c) 570 d) If k = 90 then the value of k is... a) 8 b) 10 c) 9 d ) tan =... a) 0 b) 1 c) -1 d) 28. If 2, x, 2 are in A.P then the common difference is If tan θ = cot θ then the value of θ is... a) b) - 1 c) + 1 d) a) 0 0 b) 45 0 c) 60 0 d) If α + β = 14 and α - β = 2 then αβ = Cos ( θ ) =... a) 42 b) 44 c) 46 d) 48 a) sin θ b) tan θ c) cos θ d) cosec θ 30. If x 2 + = 23, x > 0 then x + is Sec ( θ ) =... a) 2 b) 3 c) 4 d) 5 a) sin θ b) tan θ c) cos θ d) cosec θ 31. The value of when x = 4 is The equation of a rectangular hyperbola is of the form... a) xy = k b) x = c c) y = kx d) y = k a) 3 b) -3 c) 6 d) The equation of x - axis is The centroid of a triangle is the origin. If ( 1, - 2 ) and ( -3, 5 ) are two a) x = 0 b) x = k c) y = 0 d) y = k vertices then the theird vertex is The equation of y - axis is... a) ( - 2, 3 ) b) ( 2, 3 ) c) ( - 2, - 3 ) d) ( 2, - 3) a) x = 0 b) x = k c) y = 0 d) y = k 33. The slope of a straight line parallel to x - axis is... a) 0 b) 1 c) -1 d) not defined

3 ANSWER KEY : 22. a) x = 0 1. a) Euclid 2. c) Hipperchus 3. c) Al-khwarizmi 4. b)3x 2 y 3 z 2 5. a) 7 xyz 2 6. b) 210 a 3 b 3 c 3 7. a) a m+3 8. d) 3x 23. c) x = k 24. d) y = k 25. a) ( 1, 2 ) 26. d) b) k = c) c) d) 5 9. a) 31. c) c) 17 (a - b ) 2 ( b - c ) d) ( 2, -3 ) 33. a) b) m = c) - 1 / c) n = a) m = n 35. c) b) 4 sin θ cos θ 36. d) c) a) 4 cm 16. a) b) b) c) sin θ cos θ 18. a) sin θ 40. b) d) cosec θ 20. a) xy = k ******************* 21. b) y = 0

4 X UNIVERSAL MATRIC HR SEC SCHOOL MTHEMATICS CREATIVE QUESTIONS - II (This type of questions may be asked in the exam) 1. If A and B are two sets and U is the universal set such that n(u) = 700, n(a) = 200, n(b) = 300, n(a B)=100 then n(a' B') =... a) 400 b) 300 c) 500 d) If P and Q are disjoint sets then P Q =... a) P b) Q c) d) P Q 3. The next term of an A.P 5, 9, 13,... a) 4 b) 16 c) 17 d) If, k, k are in A.P then k =... a) b) c) d) 5. If, x, are in G.P then x =... a) 1 b) -1 c) 1 d) 0 a) b) c) 1 d) 0 6. Sum of an infinite series in G.P exists only if tan 45 - sin 90 =... a) r > 1 b) r < 1 c) r = 0 d) r = 1 a) 0 b) 1 c) -1 d) 7. x + 2y = 7 and x 2y = 1 then x = If 2cos = 1 then =... a) 8 b) 4 c) 6 d) 3 a) 30 b) 45 c) 60 d) For the system of equations a 1 x + b 1 y + c 1 = 0, a 2 x + b 2 y + c 2 = 0 if = = then the 24. Total surface area of a hemisphere is... times square of its radius. system has... solutions. a) b) 2 c) 3 d) 4 a) Unique b) Two c) Infinite d) No 9. G.C.D of a m+1, a m+2, a m+3 is... a) a m+1 b) a m+2 c) a m+3 d) a 3m The remainder when p(x) = x 4 + 3x 2 + 2x + 1 is divided by (x-1) is... a) 0 b) 7 c) 2 d) The product of and is... a) b) c) d) 12. =... a) (2x+3y) b) (3x-2y) c) (2x-3y) d) (2x-3y) If and are the roots of x 2 5x + 1 = 0 then the value of =... a) 27 b) 23 c) 21 d) If = then the value of a and b =... a) 4, 2 b) -4, 2 c) 4, -2 d) 4, The centroid divides each of the median of the triangle in the ratio =... a) 1:1 b) 2:1 c) 3:1 d) 1:2 16. Slope of the line 2x + 3y + 6 = 0 is... a) b) c) 3 d) Slope of the line perpendicular to 2x + y + 3 = 0 is... a) 2 b) c) d) The equation of a line passing through (2,1) and (1, 2) is... a) x + y 3 =0 b) x y 3 = 0 c) x+y+3 = 0 d) x y + 3= A man walks 12km due east and 5km due north. How far is he from the starting point? a) 13km b) 14km c) 15km d) 17km 20. In a... triangle, the square of hypotenuse is equal to the sum of the squares of other two sides. a) Equilateral b) Isosceles c) Right angled d) Obtuse angled cos 2 = then sin = The smallest value of the collection of data is 12 and the range is 59. The largest value of the collection of data is... a) 71 b) 61 c) 51 d) The range of 43, 24, 38, 56, 22, 39, 45 is... a) 56 b) 22 c) 34 d) The range of first 10 even natural numbers is... a) 22 b) 18 c) 8 d) The probability that it will rain on a particular day is 0.76.The probability that it will not rain on that day is... a) 0.76 b) 0.24 c) 0.34 d) Probability of sure event is... a) 0 b) 1 c) d) 30. Probability of impossible event is a) 0 b) 1 c) d)

5 KEY ANSWER: 1. d) c) 3. c) d) 5. c) 6. b) r < 1 7. b) 4 8. c) Infinite 9. a) a m b) d) 12. b) 2x 3y 13. b) c) 4, b) 2:1 16. b) 17. b) 18. a) x + y 3 = a) 13 km 20. c) Right angled 21. a) 22. a) c) c) a) c) b) b) b) a) 0

4. The G.C.D of 15x 4 y 3 z 5,12x 2 y 7 z 2... a) 15x 4 y 7 z 5 b)3x 2 y 3 z 2 c)12x 2 y 3 z 2 d)3x 4 y 7 z 5

4. The G.C.D of 15x 4 y 3 z 5,12x 2 y 7 z 2... a) 15x 4 y 7 z 5 b)3x 2 y 3 z 2 c)12x 2 y 3 z 2 d)3x 4 y 7 z 5 4. The slope of a straight line parallel to the line x + 4y + 5 = 0 is... a) b) 1 / c) - 1 / d) - 5. The angle of inclination of a straight line whose slope is is... a) 0 0 b) 0 0 c) 60 0 d) 90 0 6. The