Show that the reflection of the line `px+qy+r=0` in the line `x+y+1 =0` is the line `qx+py+(p+q-r)=0,` where `p!= -q`.

Show that the roots of the equation x^3 +px^2 +qx +r=0 are in G.P p^3 r= q^3

If r is the geometric mean of p and q, then the line px+qy+r=0

show that the condition that the roots of x^3 + px^2 + qx +r=0 may be in G.P is p^3 r=q^3

show that the condition that the roots of x^3 + px^2 + qx +r=0 may be in G.P is p^3 r=q^3

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

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

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

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