If `(lim)_(xrarroo)(sqrt(p x^2+q x)-r x)=2,t h e n` `q=4r` b. `q=2r` c.`q=r` d. `q=6r`

Solution of (dy)/(dx)(x^2y^3+x y)=1 is , e^(y^(2)/p)(1/x+y^r-q)=C Then a. p=r b. q+r=4 c. p+q+r=6 d. r=2

If p ,q ,r ,s are rational numbers and the roots of f(x)=0 are eccentricities of a parabola and a rectangular hyperbola, where f(x)=p x^3+q x^2+r x+s ,then p+q+r+s= a. p b. -p c. 2p d. 0

If (x+2) is a common factor of (px^2+qx+r) and (qx^2+px+r) then (a) p=q or p+q+r=0 (b) p=r or p+q+r=0 (c) q=r or p+q+r=0 (d) p=q=-1/2r

If zeros of the polynomial f(x)=x^3-3p x^2+q x-r are in A.P., then (a) 2p^3=p q-r (b) 2p^3=p q+r (c) p^3=p q-r (d) None of these

10^(log_p(log_q(log_r(x))))=1 and log_q(log_r(log_p(x)))=0 , then 'p' is equals a. r^(q/r) b. rq c. 1 d. r^(r/q)

If (logx)/(q-r)= (logy)/(r-p)=(logz)/(p-q) prove that x^(q+r).y^(r+p).z^(p+q)=x^p.y^q.z^r

If p(q-r)x^2+q(r-p)x+r(p-q)=0 has equal roots, then prove that 2/q=1/p+1/rdot

If p(q-r)x^2+q(r-p)x+r(p-q)=0 has equal roots, then prove that 2/q=1/p+1/rdot

If p ,q ,r are positive and are in A.P., the roots of quadratic equation p x^2+q x+r=0 are all real for a. |r/p-7|geq4sqrt(3) b. |p/r-7|geq4sqrt(3) c. all p and r d. no p and r

Delta=|{:(p,q,r),(p+2a,q+2b,r+2c),(a,b,c):}| then