Home
Class 12
MATHS
If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) th...

If `sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y)` then prove that `dy/dx=(sqrt(1-y^(2)))/(sqrt(1-x^(2))`.

Promotional Banner

Topper's Solved these Questions

  • IPE:MAY-2016 (AP)

    SRISIRI PUBLICATION|Exercise SECTION-2|7 Videos

  • IPE:MAY-2015[TS]

    SRISIRI PUBLICATION|Exercise SECTION - C|4 Videos

  • IPE:MAY-2016(AP)

    SRISIRI PUBLICATION|Exercise QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

If sqrt(1 - x^(2)) + sqrt(1 - y^(2)) = a(x - y) , then prove that (dy)/(dx) = sqrt((1-y^(2))/(1-x^(2))) .

If sqrt(1- x ^(2)) + sqrt(1- y ^(2) ) = a (x -y) then (dy)/(dx)=

If y=e^(a sin^(-1)x) then prove that dy/dx=(ay)/(sqrt(1-x^(2)) .

If sqrt(1+ x ^(2)) + sqrt(1 + y ^(2)) =a ( x -y) then (dy)/(dx) =

Solve sqrt(1+x^(2)) sqrt(1+y^(2))dx+xy dy=0

If y = e^(asin^(-1)x) then prove that (dy)/(dx) = (ay)/(sqrt(1 - x^2))

int (sqrt(1-x^(2))+sqrt(1+x^(2)))/(sqrt(1-x^(4)))dx=