Mathematics
Mathematics
Mathematics
Mathematics
Mathematics
100

If x2 – 2xy – 3y2 = 1

and x + y = 7

Then x – 3y = ………


1/7

100

x2 + k = (x – 5) (x + 5)

Then k = ………


-25
100

If a – b = 3 , a + b = 5

Then 3a2 – 3b2 = ………


45
100

Choose the correct answer:

Sixth the number:

212 × 312 is ……

(  62  ,  6 ,  611  ,  623 )


611

100

Choose the correct answer:

Xm – 1 × .......... = 1 , X ≠ 0

 ( Xm – 1 , X-m – 1 , Xm + 1 , X-m + 1 )


X-m + 1

200

If (a – b) = 1

and (x + y) = -3

Then a(x + y) – b(x + y) = ………


-3
200

If the area of a square is 16 a2 – 40 ab + 25 b2

Then the side length is ………

(In terms of a and b)


4a – 5b

200

If the area of the triangle is 42 cm2 and its height = 7 cm.

Then the length of the corresponding base = ………


12 cm.
200

If x3 y-3 = 8

, then y2 x-2 = ……


1/4

200

If 3x + 2 = 18

, then (81)x = ……


16
300

A parallelogram whose area = 50 cm2 and the length of its base is twice the corresponding height 

, then this height = ………

5 cm.
300

If a2 – b2 = 45

, a – b = 5

Then = ……… 


+ 3

300

(x – y) (x + y) (x4 + x2 y2 + y4) = ………

x6 – y6

300

If x = 2 is a root of the equation:

x2 – 6x + k = 0

, then k = ……


8
300

The S.S. of the equation: 

3/12= 25/x^2

In R is ……

{±10}

400

Find the length of the height of a rhombus whose diagonals lengths 12 cm. , 16 cm. 

9.6 cm.
400

If x^2- y^2=20 , x-y= 2

x^2-xy+ y^2=28

Find:  

(x^3+ y^3)/70


4
400

If the area of a rhombus is 90x cm2 , the lengths of the two diagonals are x , 3x cm.

Find x


60
400

Find the S.S. in R:

2^(x^2-9)=1


{-3 , 3}
400

The length of the projection of a line segment on a straight line perpendicular to it is ……

Zero
500

Factorize:

(5b – 2)3 – 5b + 2


(5b – 2) (5b – 3) (5b – 1)

500

If Δ ABC ~ Δ DEF

Find the length of 


6 cm.
500

Two integers whose sum is 2 and the sum of their squares = 34

Find the sum of their cubes


98
500

Find the S.S. in R:

{4}
500

The trapezium whose middle base length is X cm. And its height =the length of the middle base 

, its area = …… cm2

X^2/2

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