theta*((1)/(2)pq-(3)/(2)q)times(pq-q)

((1) / (2) pq- (3) / (2) q) xx (pq-q)

(p-q)^(2)+4pq

If (cos theta)/(p)=(sin theta)/(q), then (p)/(sec2 theta)+(q)/(cos ec2 theta) is equal to (i) p( ii) q( iii) pq (iv) none of these

show that (4pq+3q)^(2)-(4pq-3q)^(2)=48pq^(2)

If cos ec theta=(p+q)/(p-q)(pq>0,p!=q), then |cot((pi)/(4)+(theta)/(2))| is equal to

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

Factorize 1-2pq-(p^(2)+q^(2))

Find the value of a, if pq ^(2) a = (4pq + 3q) ^(2) - ( 4pq - 3q) ^(2)

A transvers axis cuts the same branch of a hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at P and P' and the asymptotes at Q and Q'. Prove that PQ=P'Q' and PQ'=P'Q.