The curve represented by the equation `sqrt(p x)+sqrt(q y)=1` where `p ,q in R ,p ,q >0,` is a circle (b) a parabola an ellipse (d) a hyperbola

The locus of the orthocentre of the triangle formed by the lines (1+p)x-py+p(1+p)=0 ,(1+q)x-qy+q(1+q)=0 and y=0 where p!=q is (A) a hyperbola (B) a parabola (C) an ellipse (D) a straight line

If p,q varepsilon N satisfy the equation x^(sqrt(x)=(sqrt(x))^(x)) then p&q are

The locus of the orthocentre of the triangle formed by the lines (1+p)x-py+p(1+p)=0,(1+q)x-qy+q(1+q)=0 and y=0, where p!=*q, is (A) a hyperbola (B) a parabola (C) an ellipse (D) a straight line

Prove that sqrt(p)+sqrt(q) is an irrational,where p and q are primes.

The locus of the orthocentre of the triangle formed by the lines (1+p)x-py+p(1+p)=0.,(1+q)x-qy+q(1+q)=0 andy =0 wherept (a) a hyperbola (c) an ellipse (b) a parabola (d) a straight line

C-1 If 2+i sqrt(3) is a root of the equation x^(2)+px+q=0, Where p,q in R, then find the ordered pair (p,q).

With usual notations in Delta ABC ,let /_A=60^(0) and b , c are roots of the equation x^(2)-2sqrt(3)x+1=0. If the value of sum(a+b) cos C equals p+2sqrt(q) , where p,q in N, then find the value of (p+q)