y = c 2 MULTIPLE CHOICE QUESTIONS (MCQ's) (Each question carries one mark) is...

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1 . Liner Equtions in Two Vriles C h p t e r t G l n e. Generl form of liner eqution in two vriles is x + y + 0, where 0. When we onsier system of two liner equtions in two vriles, then suh equtions re lle simultneous equtions.. Solution of simultneous equtions. when the simultneous equtions re stisfie y the sme pir of vlues off the two vriles then suh pir of vlues of the vriles is known s the 'Solution' of the given simultneous equtions.. Solving simultneous equtions; () Grphil Metho : Drw grphs of given liner eqution y plotting minimum three suitle points. Fin point of intersetion of two grphs. The o-orinte of this point is solution of given simultneous equtions. () Determinnt Metho/Crmer's Rule : If x + y n x + y then x Dx, y xy. Nture of solution epens on vlue of D. ) D 0 system is onsistent n equtions hve unique solution. ) D 0 n Dx 0 system is onsistent n equtions hve infinite solutions. ) D 0 n Dx 0 System is inonsistent n system hve no solution. MULTIPLE CHOICE QUESTIONS (MCQ's) (Eh question rries one mrk). The vlue of the eterminnts 7. If the grphs of two lines interset in single point then the equtions hve unique ommon solutions two solutions infinitely mny solutions no ommon solutions. Eqution of X-xis x 0 x y 0 y. If D x 8 n D then the vlue of x. If x n y is the solution of x + ky then the vlue of k

2 Unique MCQ's. If equtions hve no solution one solution two solution then the two simultneous infinitely mny solutions 7. The o-orintes of the point of origin re (0, 0) (0, ) (, 0) (, ) 8. For the two simultneous equtions eq. C x + y n x + y 8, C 9. If D y n D then the vlue of y 0. Whih point mong the following lies on the grph of the eqution x y? (, ) (, ) (, ) (0, ). If the two simultneous equtions oes not hve ommon solution, then the grph of the two lines will e prllel interseting onurrent oinient. For the given two simultneous equtions x + y n x y, the vlue of is. The perimeter of retngle is is expresse in the mthemtil eqution form s (x + y) (x + y) xy x y. If the point (, ) lies on the grph of the eqution x + y 9 then the vlue of. If the vlue of the eterminnt, then the vlue of m 9. Eqution of Y-xis y 0 y x x 0 m 7 7. The grph of the eqution x y intersets the X-xis (0, ) (, 0) (, ) (, ) 8. Wht is the vlue of D for the simultneous equtions x y 7; n x + y? 0 9. Wht is the eqution of line prllel to the X-xis n pssing through the point (, )? y y x x 0. If x + y n x + y then x y is 0 is Liner Equtions in Two Vriles

3 ALGEBRA - S.S.C.. If x n y 0 is the solution of kx + y, then the vlue of k 0 9. Exept whih vlue of m, the simultneous equtions mx + y 0 n x 7y hve n unique solution? 0 7. One numer is more thn seven times the other numer. This is expresse in the mthemtil form s x 7y + x + 7y x + 7y x 7y. () 7. () Unique Common solution. () y 0. () x Dx D. () + k + k k. () Infinitely mny solutions 7. () (0, 0) 8. () C C 8 9. () y Dy D 0. () (, ). () Prllel Answers. Wht is the vlue of k for whih the simultneous equtios x + y 7 n kx + y hve no solutions?. () The rtio of the oeffiient of x. () (x + y). () The points (, 0) n (0, ) lie on the grph of the eqution x y. Wht re the vlues of n? n n n n. Wht is the eqution of line prllel to the Y-xis n units to the left of it? x x y y. () m 7 ( ) 7m 0 m. () x 0 7. () (, 0) 8. () D 9. () y ( ) + 0. () x + y x + y ( ) ( ) ( ) x + y x y. () x, y 0 kx + y k + ( 0) k k k 9 Liner Equtions in Two Vriles

4 Unique MCQ's. () mx + y, x 7y x + 7y m, 7 For unique solution. The vlue of the eterminnt Prolems For Prtie. If (, ) is the point lying on the grph of the eqution x + y then the vlue of is. The point of intersetion of the X-xis n Y-xis is lle origin X-xis Y-xis entre. If the grphs of two lines oinie with eh other then the equtions hve no ommon solution unique ommon solution infinitely mny solutions two solutions. The point of intersetion of the grph of the eqution x + y with the X-xis (0, ) (, 0) (, ) (0, 0). If D y 7 n D then the vlue of y 7. If the grphs of two lines re lines then m 7 m 0. () x 7y +. () k k. () Point (, 0), (0, ) When x, y x y ( ) (0) When x 0, y x y (0) (). () x Liner Equtions in Two Vriles

5 ALGEBRA - S.S.C. 8. If the grphs of two lines re interseting lines; then 9. The point of intersetion of Y-xis n the line y x + (, 0) (, ) (, ) (0, ) 0. The vlue of the set. The vlue of the eterminnt. If the lrger numer ( x) is ivie y the smller numer ( y) the quotient is 7 n the reminer is. This is expresse in the mthemtil eqution form s x + 7y x 7y 7x + y 7x y. If x + y 9 n x + y then x + y. For the two simultneous equtions x + y + 0 n x + y 0 the vlue of. If the spee of the ot in still wter is x km/hr n the spee of the strem is y km/hr then the spee of the ot ownstrem x (x y) km/hr (x y) km/hr (x + y) km/hr y km/hr. For the two simultneous equtions x + y 8 n x y, the eterminnt D x 8 8 Answers Liner Equtions in Two Vriles

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