Home
Class 12
MATHS
If x^2+y^2=t -1/t and x^4+y^4=t^2+1/t^2 ...

If `x^2+y^2=t -1/t and x^4+y^4=t^2+1/t^2` then `(dy)/ (dx)` is equal to a)`1/(x^2y^3)` b)`1/(xy^3)` c)`1/(x^2y^2)` d)`1/(x^3y)`

A

`1/(x^2y^3)`

B

`1/(xy^3)`

C

`1/(x^2y^2)`

D

`1/(x^3y)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If |t|lt1,"sin"x=(2t)/(1+t^(2)),"tan"y=(2)/(1-t^(2)) , then (dy)/(dx) is equal to a) 1/(x) b)1 c) -1/(2) d) -1/(x)

If 2y =sin^(-1) (x + 5y) , then (dx)/(dy) is equal to

If x = sin^(-1) (3t - 4t^(3)) and y = cos^(-1) (sqrt(1 - t^(2))) , then (dy)/(dx) is equal to a) (1)/(2) b) (2)/(3) c) (1)/(3) d) (2)/(5)

If y= (1)/( 1+ x+x^2) , then (dy)/(dx) is equal to a) y^(2) (1+ 2x) b) (-1 +2x)/( y^2) c) (1+2x)/(y^2) d) -y^(2) (1+2x)

If x = sin t and y = tan t , then (dy)/(dx) is equal to a) cos ^(2) t b) (1)/( cos ^(3) t ) c) (1)/( cos ^(2) t ) d) sin ^(2) t

If y = tan^(-1) ((2x-1)/(1+ x- x^2) ) , then (dy)/(dx) at x = 1 is equal to a) 1/2 b) 2/3 c) 1 d) 3/2

If x=(2at)/(1+t^(3))andy=(2at^(2))/((1+t^(3))^(2)), then (dy)/(dx) is

If y = 2 ^(x) . 3 ^(2x-1) , then (d ^(2) y )/( dx ^(2)) is equal to :

If y=tan^(-1)((4x)/(1+5x^(2)))+tan^(-1)((2+3x)/(3-2x)) , then (dy)/(dx) is equal to a) (5)/(1+25x^(2)) b) (1)/(1+25x^(2)) c)0 d) (5)/(1-25x^(2))