`2x^2\X\ 3x y^2\X\ 4x^3y^5` is equal to: (a) `24 x^6y^6` (b) `24 x^6y^7` `24 x^7y^6` (d) `24 x^7y^7`

If the lengths of edges of a cuboid are 2x ,\ 3y\ a n d\ 4\ x y , then its volume is: (a) 24\ x y (b) 9x^2y (c) 24\ x^2y^2 (d) 6x^2y^2

Divide : -14x^(6)y^(3) - 21x^(4)y^(5) + 7x^(5)y^(4) by 7x^(2)y^(2)

Divide : 36x^(2)y^(2) + 42 xy^(3) - 24 x^(3)y^(2) - 12 y^(5) by - 6y^(2)

The equation of the tangent to the circle x^2+y^2=25 passing through (-2,11) is (a) 4x+3y=25 (b) 3x+4y=38 (c) 24 x-7y+125=0 (d) 7x+24 y=250

Add the algebraic expressions: 4x y^2-7x^2y ,\ 12 x^2y-6x y^2,\ -3x^2y+5x y^2

Add: (i) x y^2+4x^2y-7x^2y-3x y^2+3\ a n d\ x^2y+x y^2 (ii) 5x^2+7y-6z^2,\ 4y+3x^2,9x^2+2z^2-9y\ a n d\ 2y-2x^2

The equation of the circle passing through the foci of the ellipse (x^2)/(16)+(y^2)/9=1 , and having centre at (0, 3) is (1) x^2+y^2-6y+7=0 (2) x^2+y^2-6y-5=0 (3) x^2+y^2-6y+5=0 (4) x^2+y^2-6y-7=0

Factorize the following : (1) 3x-9 (2) 5x-15 x^2 (3) 20 a^(12)b^2-15 a^8b^4 (4) 72 x^6y^7-96 x^7y^6

In triangle A B C , the equation of side B C is x-y=0. The circumcenter and orthocentre of triangle are (2, 3) and (5, 8), respectively. The equation of the circumcirle of the triangle is a) x^2+y^2-4x+6y-27=0 b) x^2+y^2-4x-6y-27=0 c) x^2+y^2+4x-6y-27=0 d) x^2+y^2+4x+6y-27=0

The equation to a pair of opposite sides of a parallelogram are x^2-5x+6=0 and y^2-6y+5=0 . The equations to its diagonals are x+4y=13 ,y=4x-7 (b) 4x+y=13 ,4y=x-7 4x+y=13 ,y=4x-7 (d) y-4x=13 ,y+4x-7