If `y=(x+3)^2` , then `(-2x-6)^2` is equal to (a)`-4y^2` (b) `-2y^2` (c) `-4y` (d) `2y` (e) `4y`

If (x)/(y)=(a+2)/(a-2), then (x^(2)-y^(2))/(x^(2)+y^(2)) is equal to (8a)/(a^(2)+4)(b)(4a)/(a^(2)-4)(c)(4)/(a^(2))(d)(4a)/(a^(2)+4)

Let y=y(x) be the solution of the differential equation,x((dy)/(dx))+y=x log_(e)x,(x>1) if 2y(2)=log_(e)4-1, then y(e) is equal to: (a)-((e)/(2))(b)-((e^(2))/(2))(c)(e)/(4)(d)(e^(2))/(4)

If 3x-4y+z=7; 2x-z+3y=19 ; x+2y+2z=24 , then what is the value of z ? (a) 4 (b) 5 (c) 6 (d) 8

The locus of the image of the point (2,3) in the line (x-2y+3)+lambda(2x-3y+4)=0 is (lambda in R)( a) x^(2)+y^(2)-3x-4y-4=0 (b) 2x^(2)+3y^(2)+2x+4y-7=0(c)x^(2)+y^(2)-2x-4y+4=0(d) none of these

If 2x+y=5 and 3x-4y=2, then the value of 2xy is (a) 4 (b) 6 (c) 8 (d) 10

If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal, then the value of lambda is (a) 9 (b) 3 (c) 7 (d) 6

If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal, then the value of lambda is (a)9 (b) 3 (c) 7 (d) 6

Factorize: (2x + 3y )^2 + 2 ( 2x + 3 y) (x+ y) = ( x + y ) ^ 2 (a) ( 3x+4y) ( 3x-4y) (b) ( 3x+ 4y) ^2 (c) (3x+ 2y) ( 2x- 3y) ( d) None of these

If 3x+2y=12 and x y=6 , find the value of 9x^2+4y^2

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0