ENGLISH HINDI
Q.1
For which value of k the pair of linear equations x + 2 y = 5 and 3 x + k y + 15 = 0 has no solution ?



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Q.2
The equations of two sides of a right angled Δ are y = x & y = 0 which of the following equations can not represent the 3rd side ?



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Q.3
What is the area of Δ formed b a co-ordinate axes and a x + b y = c (where a, b are two positive real numbers)



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Q.4
If (x − 3 ) , is a factor of k 2 x 3 − k x 2 + 3 k x − k then the value of k is :



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Q.5
If a b < 0 and point ( a , b ) is in 2nd quadrant then ( − a , − b ) will be in :?



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Q.6
Area of the Δ (in sq. m) formed by the graphs of three equations x = 4 , y = 3 and 3 x + 4 y = 12 is : ?



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Q.7
The circumradius of that Δ which is formed by x-axis, y-axis and 4 x + 3 y = 12 ; is : ?



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Q.8
Two simple linear equations a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 x + b 2 y + c 2 = 0 has an infinite number of solutions if -



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Q.9
If  the equations of two parallel lines are  2 x + 3 y = k and 4 x + 6 y = 8 , which of the following is correct ?



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Q.10
If straight line 3 x + 5 y = 24 intersects x-axis at any point then co-ordinates of that point is ?



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Q.11
If graph of the equation 4 x + 3 y = 12 intersect the coordinate axes at the points A and B then the length of hypotenuse of Δ A O B is :



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Q.12
The area of  Δ formed by y-axis, x − y = 1 and 2 x + y = 8 is :



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Q.13
For which value of k, the polynomial 2 x 4 + 3 x 3 + 2 k x 2 + 3 x + 6 is completely divisible by x + 2 ?



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Q.14
If point ( 3 , 4 ) is situated on the graph of equation 3 y = a x + 7 then the value of a is :



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Q.15
What will be the area of that Δ which is formed by x-axis and lines of equations 2 x + y = 6 &  2 x − y + 2 = 0 .



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Q.16
For which value of a; ( x − a ) is a factor of polynomial f ( x ) = x 5 − a 2 x 3 + 2 x + a − 3 ?



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Q.17
Area of the  Δ formed by A ( 2 , 0 ) , B ( 6 , 0 ) & C ( 4 , 6 ) is :



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Q.18
One factor of polynomial f ( x ) = x 3 + x 2 − 17 x + 15 is :



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Q.19
For which value of x the distance between points  ( x , − 1 ) and  ( 3 , 2 ) will be 5 ?



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Q.20
The co-ordinates of points P, Q and S are ( a t 2 , 2 a t ) , ( a t 2 , 2 a t ) and ( a , 0 ) respectively then 1 S P + 1 S Q = ?



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