[" 3.If "x=a cos theta" and "y=b cot theta],[qquad (a^(2))/(x^(2))-(b^(2))/(y^(2))=1]

If x = a cos theta and y = bcot theta, show that : (a^(2))/(x^(2)) - (b^(2))/ (y^(2)) = 1

If x=a sin theta and y=b tan theta, then prove that (a^(2))/(x^(2))-(b^(2))/(y^(2))=1

If x=a sin theta and y=b tan theta , then prove that (a^(2))/(x^(2))-(b^(2))/(y^(2))=1 .

If x=a sin theta and y=b cos theta , then prove : (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

If x=a sec theta,y=b tan theta, then prove that (x^(2))/(a^(2))-(y^(2))/(b^(2))=1

If x=a sin theta and y=b cos theta, what is the value of b^(2)x^(2)+a^(2)y^(2)?

If x=a sin theta and y = b cos theta , " write the value of " (b^(2)x^(2)+a^(2)y^(2)).

x=b sin^(2)theta & y=a cos^(2)theta

If (x)/(a)cos theta+(y)/(b)sin theta=1 and (x)/(a)sin theta-(y)/(b)cos theta=-1, prove that (x^(2))/(a^(2))+(y^(2))/(b^(2))=2

If x= a cos theta , y= b sin theta , show that ( d^2 y)/(d x^2 ) = - b^4 /a^2y^3