If `25 p^2+9q^2-r^2-30 p q=0` a point on the line `px+qy+r=0` is

If x^(2) - px + q = 0 (p,q in R and p ne 0, q ne 0) has distinct real roots. Then…

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

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 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 .

If 3 - 4i is a root of x^(2) - px + q = 0 where p, q in R . then value (2 p - q)/( p + q) is

If the point of intersection of the lines 2px+3qy+r=0 and px-2qy-2r=0 lies strictly in the fourth quadrant and is equidistant from the two axes, then

If p != 0, q != 0 and the roots of x^(2) + px +q = 0 are p and q, then (p, q) =