Given that `tanalpha` and `tanbeta,x^2-p x+q=0` , then value of `sin^2(alpha+beta)=` `(p^2)/(p^2+(1-q)^2)` (b) `(p^2)/(p^2+q^2)` `(q^2)/(p^2+(1-q)^2)` (d) `(p^2)/((p+q)^2)`

If (p^2)/(q^2) + (q^2)/(p^2) =1, then the value of (p^6 +q^6) is

If sec alpha and alpha are the roots of x^2-p x+q=0, then (a) p^2=q(q-2) (b) p^2=q(q+2) (c)p^2q^2=2q (d) none of these

If sin theta=p and cos theta=q then the value of (p-2p^(3))/(2q^(3)-q) is

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

Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha/2,2 beta be the roots of the equation x^(2)-qx+r=0. Then the value of r is (2)/(9)(p-q)(2q-p) b.(2)/(9)(q-p)(2q-p) c.(2)/(9)(q-2p)(2q-p) d.(2)/(9)(2p-q)(2q-p)

The value of ("lim")_(xvec1)(p/(1-x^p)-q/(1-x^q)),p ,q , in N , equal (a)(p+q)/2 (b) (p q)/2 (c) (p-q)/2 (d) sqrt(p/q)

Let alpha,beta be the roots of the equation x^(2)-px+r=0 and (alpha)/(2),2 beta be the roots of the equation x^(2)-qx+r=0, the value of r is (2007,3M)x^(2)-qx+r=0, the value of r is (2007,3M)(2)/(9)(p-q)(2q-p)(b)(2)/(9)(q-p(2p-q)(2)/(9)(q-2p)(2q-p)(d)(2)/(9)(2p-q)(2q-p)

If A be one A.M. and p ,q be two G.M. ' s between two numbers, then 2A is equal to (a)(p^3+q^3)/(p q) (b) (p^3-q^3)/(p q) (c) (p^2+q^2)/2 (d) (p q)/2

Sum the following infinite series (p-q) (p+q) + (1)/(2!) (p-q)(p+q) (p^(2) + q^(2))+(1)/(3!) (p-q) (p+q) (p^(4)+q^(4)+p^(2) q^(2)) + ...oo

If the difference of the roots of the equation,x^(2)+px+q=0 be unity,then (p^(2)+4q^(2)) equal to: (1-2q)^(2)(b)(1-2q)^(2)4(p-q)^(2)(d)2(p-q)^(2)