If `cos e ctheta-cottheta=q ,` then the value of `cos e ctheta` is (a)`q=1/q` (b) `q-1/q` `1/2(q+1/q)` (d0 none of these

If p>1 and q>1 are such that log(p+q)=log p+log q ,then the value of log(p-1)+log(q-1) is equal to (a)0(b)1 (c) 2(d) none of these

The maximum value of sin q cos q cos2q cos4q is

In an A.P.of which a is the first term if the sum of the first p terms is zero,then the sum of the next q terms is a.(a(p+q)p)/(q+1) b.(a(p+q)p)/(p+1) c.-(a(p+q)q)/(p-1) d.none of these

If x^py^q=(x+y)^(p+q) then the value of (d^(2)y)/(dx^(2)) is (where p,q in N ) (A) 0 (B) -1 (C) 1(D) None of these

If p=cos55^(@),q=cos65^(@)andr=cos175^(@) , then the value of (1)/(p)+(1)/(q)+(r)/(pq) is

If p^(3)-q^(3)=(p-q)((p-q)^(2)-xpq), then find the value of x is (a) 1 (b) -3(c)3(d)-1

If x=1-q and y=2q+1, then for what value of q,x is equal to y?a ) -1(b)0(c)(1)/(2) (d) 2