`lim_(x-gt0)(sqrt(4^2+p^2)-p)/(sqrt(x^2-q^2-q))`

lim_(x rarr0)(sqrt(x^(2)+q^(2))-q)/(sqrt(x^(2)+p^(2))-p)

x=(sqrt(p^2+q^2)+sqrt(p^2-q^2))/(sqrt(p^2+q^2)-sqrt(p^2-q^2)) then q^2x^2-2p^2x+q^2=? (A)    3    (B)    -1    (C)    -2    (D)    0    

x=(sqrt(p^2+q^2)+sqrt(p^2-q^2))/(sqrt(p^2+q^2)-sqrt(p^2-q^2)) then q^2x^2-2p^2x+q^2=? (A)Â Â Â 3 Â Â Â (B) Â Â Â -1 Â Â Â (C) Â Â Â -2 Â Â Â (D)Â Â Â 0 Â Â Â

if x=(sqrt(p^(2)+q^(2))+sqrt(p^(2)-q^(2)))/(sqrt(p^(2)+q^(2))-sqrt(p^(2)-q^(2))), then q^(2)x^(2)-2p^(2)x+q^(2)=?

If x=(sqrt(p^(6)+q^(2))+sqrt(p^(2)-q^(2)))/(sqrt(p^(2)+q^(2))-sqrt(p^(2)-q^(2))) then q^(2)x^(2)-2p^(2)x+q^(2)=?

If the ratio of A.M. of two numbers x and y to their G.M. is p : q, show that, x : y = (p + sqrt(p^(2) - q^(2))) : (p- sqrt(p^(2) - q^(2)))

If (sqrt(p+2q)+sqrt(p-2q))/(sqrt(p+2q)-sqrt(p-2q)) , then show that qx^2-px+q=0

lim_(x->0)sin^2(pi/(2-p x))^(sec^2((pi/(2-q x)))

Prove that the equation p cos x - q sin x =r admits solution for x only if -sqrt(p^(2)+q^(2)) lt r lt sqrt(p^(2)+q^(2))