[26." यदि "p^(2)=a^(2)cos^(2)theta+b^(2)sin^(2)theta," तो सिद्द कीजिए कि "],[qquad (d^(2)p)/(d theta^(2))+p=(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 , prove that p + (d^(2p)/(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^(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 theta+b^(2)sin^(2)theta then prove that (p+(d^(2)p)/(d theta^(2)))=(a^(2)b^(2))/(p^(3))

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

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 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 P_(n)=cos^(n)theta+sin^(n)theta then 2P_(6)-3P_(4)+1=

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