(c)((1)/(2)pq-(3)/(2)q)times(nq-q)

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

A transversal cut the same branch of a hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 in P,P' and the anymptotes in Q.Q' ,the value of (PQ+PQ')-(P'Q'-P'Q)

In Q.No.7,HCF(a,b) is pq(b)p^(3)q^(3)(c)p^(3)q^(2) (d) p^(2)q^(2)

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

Show that : (4pq+3q)^(2)-(4qp-3q)^(2)=48pq^(2)(a-b)(a+b)+(b-c)(b+c)+(c-a)(c+a)=0

If two positive integers m and n are expressible in the form m=pq^(3) and n=p^(3)q^(2), where p,q are prime numbers, then HCF(m,n)=pq(b)pq^(2)(c)p^(3)q^(3)(d)p^(2)q^(3)

If two positive integers a and b are expressible in the form a=pq^(2) and b=p^(3)q;p,q being prime numbers,then LCM(a,b) is pq( b) p^(3)q^(3) (c) p^(3)q^(2)( d )p^(2)q^(2)

(3p^(2)qr^(3)) xx (- 4p^(3)q^(2)r^(2))xx (7pq^(2)r) is equal to

If omega is an imaginary cube root of unity,then the value of (p+q)^(3)+(p omega+q omega^(2))^(3)+(p omega^(2)+q omega)^(3) is: (a)3(p+q)(p+q omega)(p+q omega^(2))(b)3(p^(3)+q^(3))(c)3(p+q)-pq(p+q)(d)3(p^(3)+q^(3))pq(p+q)