The line lx+my+n=0 is a normal to the parabola `y^(2)=4ax`, if

The pole of the line lx+my+n=0 with respect to the parabola y^(2)=4ax, is

If the line y=mx+c is a normal to the parabola y^2=4ax , then c is

The line lx + my+n=0 will be a normal to the hyperbola b^2x^2-a^2y^2=a^2b^2 if

Find the condition that line lx + my - n = 0 will be a normal to the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 .

The straight line lx+my+n=0 will touch the parabola y^2 = 4px if (A) lm^2 = np (B) mn=pl^2 (C) pn^2 = lm (D) none of these

The condition that a straight line with slope m will be normal to parabola y^(2)=4ax as well as a tangent to rectangular hyperbola x^(2)-y^(2)=a^(2) is

The locus of the point of intersection of tangents drawn at the extremities of a normal chord to the parabola y^2=4ax is the curve

Tangents are drawn at the end points of a normal chord of the parabola y^(2)=4ax . The locus of their point of intersection is

Statement I The line y=mx+a/m is tangent to the parabola y^2=4ax for all values of m. Statement II A straight line y=mx+c intersects the parabola y^2=4ax one point is a tangent line.

Show that the line lx+my+n=0 is a normal to the circles S=0 iff gl+mf=n .