" find "b^(2)x^(2)+a^(2)y^(2)-a^(2)b^(2)" if "x=a cos theta,y=b sin theta

Find frac(d^2y)(dx^2) : (ii) x = a cos theta, y = b sin theta

Find the equations of tangent and normal to the curve (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (a cos theta, b sin theta)

If x=acos theta ,y=b sin theta,then b^(2)x^(2)+a^(2)y^(2)-a^(2)b^(2) is equal to:

Find (dy)/(dx) if x =a cos ^(2) theta , y =b sin ^(2) theta .

Find (d^2 y)/(dx^2) of the following: x = a cos^3 theta , y= b sin^3 theta

Find the blanks. (i) If x=a cos^(3)theta,y=b sin^(3)theta then ((x)/(a))^(2/3)+((y)/(b))^(2/3)=ul(P) (ii) if x=a sec theta cos phi,y=b sec theta sin phi and z=c tan theta then (x^(2))/(a^(2))+(y^(2))/(b^(2))-(z^(2))/(c^(2))=ul(Q) (iii) If cos A+cos^(2)A=1 ,then sin^(2)A+sin^(4)A=ul(R)

If x=a(sin theta+cos theta) and y=b(sin theta-cos theta) , then the value of x^2/a^2+y^2/b^2 is - यदि x=a(sin theta+cos theta) और y=b(sin theta-cos theta) , तो x^2/a^2+y^2/b^2 का मान क्या होगा ?