[" If "x=a cos^(3)theta,y=bsin^(3)theta" ,then "],[" (A) "((a)/(x))^(2/3)+((b)/(y))^(2/3)=1quad " (B) "((b)/(x))^(2/3)+((a)/(y))^(2/3)=1],[" (C) "((x)/(a))^(2/3)+((y)/(b))^(2/3)=1," (D) "((x)/(b))^(2/3)+((y)/(a))^(2/3)=1]

If x=acos^(3)theta,y=bsin^(3)theta then ((x)/(a))^((2)/(3))+((y)/(b))^((2)/(3))=?

If x=acos^(3)theta and y = bsin^(3)theta , prove that ((x)/(a))^(2//3)+((y)/(b))^(2//3)=1.

x=a cos^(3)theta,y=b sin^(3)theta : ((x)/(a))^(2/3)+((y)/(b))^(2/3)=1

If x = a cos ^(3) theta and y = b sin ^(3) theta , then the value of ((x)/(a))^(2//3) + ((y)/(b))^(2//3)

If x=a^(2)cos^(3)theta and y=b^(2)sin^(3)theta then (i)(x^(2))/(a)+(y^(2))/(b)=1( ii) ((x)/(a^(2)))^((1)/(3))+((y)/(b^(2)))^((1)/(3))( iii) ((x^(2))/(a^(2)))^((2)/(3))+((y^(2))/(a^(2)))^((2)/(3))=1( iv) ((x)/(a^(2)))^((2)/(3))+((y)/(b^(2)))^((2)/(3))=1

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

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)

Find the equations of tangent and normal to the curve ((x)/(a))^((2//3))+((y)/(b))^(2//3)=1 at (a cos^(3) theta, b sin^(3), theta)

If (x_(1)-x_(2))^(2)+(y_(1)-y_(2))^(2)=a^(2)(x_(2)-x_(3))^(2)+(y_(2)-y_(3))^(2)=b^(2)(x_(3)-x_(1))^(2)+(y_(3)-y_(1))^(2)=c^(2) and 2s=a+b+c then (1)/(4)det[[x_(2),y_(2),1x_(3),y_(3),1]]^(2)

Factorize : (1) (x+y)(2x+3y)-(x+y)(x+1) (2) (x+y)(2a+b)-(3x-2y)(2a+b)