" या "p^(2)=a^(2)cos^(2)theta+b^(2)sin^(2)theta" ३ं: "" एक कस।। "Q,p+(d^(2)p)/(d0^(2))=(a^(2)b^(2))/(p^(3))

If p^(2)=a^(2)cos^(2)theta+b^(2)sin^(2)theta then

If p^(2)=a^(2)cos^(2)theta+b^(2)sin^(2)theta , show that, p+(d^(2)p)/(d theta^(2))=(a^(2)b^(2))/(p^(3)) .

If p^(2)=a^(2)cos^(2)theta+b^(2)sin^(2)theta , then show that : p+(d^(2)p)/(d theta^(2))=(a^(2)b^(2))/p^(3) .

if p^(2)=a^(2)cos theta+b^(2)sin^(2)theta then prove that (p+(d^(2)p)/(d theta^(2)))=(a^(2)b^(2))/(p^(3))

If p^(2) = a^(2) cos^(2) theta + b^(2) sin^(2)theta , prove that p + (d^(2p)/(d theta^(2))) =(a^(2)b^(2))/p^(3)

If p=a cos^(2)theta sin theta and q=a sin^(2)theta cos theta then (((p^(2)+q^(2))^(3))/(p^(2)q^(2)) is

if x=a cos^(3)theta sin^(2)theta and y=a cos^(2)theta sin^(3)theta and ((x^(2)+y^(2))^(p))/((xy)^(q)) is independent of theta, then (A)4p=5q(B)5p=4q(C)p+q=9(D)pq=20

int_ (0) ^ ((pi) / (2)) sin theta cos theta (a ^ (2) sin ^ (2) theta + b ^ (2) cos ^ (2) theta) ^ ((1) / ( 2)) d theta = ((1) / (3)) ((a ^ (2) + ab + b ^ (2)) / (a + b))

If p=a^2cos^2theta+b^2 sin^2 theta , where a^2+b^2=c^2 , then 4p+(d^2p)/(d theta^2) is equal to

If x=a cos^(3) theta sin^(2) theta, y= a sin^(3) theta cos^(2) theta and ((x^(2)+y^(2))^(p))/((xy)^(q))(p, q, in N) is independent of theta , then