Home
Class 12
MATHS
If z=sec^(- 1)((x^4+y^4-8x^2y^2)/(x^2+y...

If `z=sec^(- 1)((x^4+y^4-8x^2y^2)/(x^2+y^2))` then `x(delz)/(delx)+y(delz)/(dely)=`

A

cot z

B

2 cot z

C

2 tan z

D

2 sec z

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If u = (x^2+y^2+z^2)^(-1/2) then prove that (del^2u)/(delx^2)+(del^2u)/(dely^2)+(del^2u)/(delz^2) =0

If z = sec ^ (- 1) ((x ^ (4) + y ^ (4) -8x ^ (2) y ^ (2)) / (x ^ (2) + y ^ (2))) then x (from z) / (from x) + y (from z) / (from y) =

2^(x)=4^(y)=8^(z) and (1)/(2x)+(1)/(4y)+(1)/(4z)=4

If sqrt(x+1)+sqrt(y)+sqrt(z-4)=(x+y+z)/(2), then find x+y+z

Let P be the mid-point of a chord joining the vertex of the parabola y^(2)=8x to another point on it.Then,the locus of P is (A)y^(2)=2x (B) y^(2)=4x(C)(y^(2))/(4)+y^(2)=1(D)x^(2)+(y^(2))/(4)=1

x, y and z are distinct positive integers in which x and y are odd and z is even. Which of thefollowing can not be true ? (1) (x-z)^2 y is even (2) (x-z)^2y^2 is odd (3) (x-z)y is odd(4) (x-y)^2z is even

If (x+ y-z -1)^(2) + (z+ x-y - 2)^(2) + (z+y-x-4)^(2)=0 find x+ y+z =?

If sin ^ (- 1) x + sin ^ (- 1) y + sin ^ (- 1) z = pi show that, x ^ (4) + y ^ (4) + z ^ (4) + 4x ^ ( 2) y ^ (2) z ^ (2) = 2 (x ^ (2) y ^ (2) + y ^ (2) z ^ (2) + z ^ (2) x ^ (2))

If sin ^ (- 1) x + sin ^ (- 1) y + sin ^ (- 1) z = pi, show that x ^ (4) + y ^ (4) + z ^ (4) + 4x ^ ( 2) y ^ (2) z ^ (2) = 2 (x ^ (2) y ^ (2) + y ^ (2) z ^ (2) + z ^ (2) x ^ (2))