Home
Class 11
MATHS
If x = sqrt(a ^(sin^(-1) t)),y = sqrt(a^...

If `x = sqrt(a ^(sin^(-1) t)),y = sqrt(a^(cos^(-1) t)), a > 0 and |t|<1,`then prove that`(d^2y)/(dx^2)=(2y)/(x^2).`

Promotional Banner

Similar Questions

Explore conceptually related problems

If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t) , a >0 a n d -1 < t < 1 , show that (dy)/(dx)=-y/x .

If x = sqrt(a^(sin^(-1)t)) , y = sqrt(a^(cos^(-1)t) then show that, dy/dx=-y/x.

If x = sqrt(a^(sin^(-1)t)), y= sqrt(a^(cos^(-1)t)) , show that (dy)/(dx)= -(y)/(x)

If x= sqrt ( a^( sin^(-1) t) ) and y= sqrt ( a^( cos^(-1) t) ), then show that dy/dx = -(y/x)

If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)) , then show that dy/dx=-y/x

If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)) , then show that (dy)/(dx)=-(y)/(x) .

If x=sqrt(a^(sin^(-1)t)), y= sqrt(a^(cos^(-1)t)) , show that (dy)/(dx)= -(y)/(x) .

If x=sqrt(a^(sin^(-1)t)), y= sqrt(a^(cos^(-1)t)) , show that (dy)/(dx)= -(y)/(x) .

If x=sqrt(a^(sin^(-1)t)), y= sqrt(a^(cos^(-1)t)) , show that (dy)/(dx)= -(y)/(x) .