The value of `lim_(x to1)(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)`

If f(x)=(q(x-p))/(q-p)+(p(x-q))/(p-q),....pneq, find: f(p)+f(q).

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

The roots of the equation (q-r)x^2+(r-p)x+p-q=0 are (A) (r-p)/(q-r),1 (B) (p-q)/(q-r),1 (C) (q-r)/(p-q),1 (D) (r-p)/(p-q),1

{:(2x + 3y = 9),((p + q)x + (2p - q)y = 3(p + q+ 1)):}

If the value of lim_(x->0)( ((3/ x)+1)/((3/x)-1))^(1/x) can be expressed in the form of e^(p/q), where p and q are relative prime then find the value of (p+q) .

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

In the equation (x-p)/(q)+(x-q)/(p)=(q)/(x-p)+(p)/(x-q),x is not equal to

If x^(p^(q))=(x^(p))^(q), then p=