If two different tangents of `y^2=4x` are the normals to `x^2=4b y ,` then

If the lines L_1a n dL_2 are tangents to 4x^2-4x-24 y+49=0 and are normals for x^2+y^2=72 , then find the slopes of L_1 and L_2dot

Find the equation of the common tangent of y^2=4a x and x^2=4a y .

Find the angle between the tangents drawn to y^2=4x , where it is intersected by the line y=x-1.

If the chord of contact of tangents from a point P to the parabola y^2=4a x touches the parabola x^2=4b y , then the locus of Pdot is a) a cicle b) a parabola c) a straight line d) none of these

The point of intersection of the tangents of the parabola y^2=4x drawn at the endpoints of the chord x+y=2 lies on (a) x-2y=0 (b) x+2y=0 (c) y-x=0 (d) x+y=0

Prove that the locus of the point of intersection of the tangents at the ends of the normal chords of the hyperbola x^(2)-y^(2)=a^(2)" is " a^(2)(y^(2)-x^(2))=4x^(2)y^(2) .

Prove that the locus of the point of intersection of the tangents at the ends of the normal chords of the hyperbola x^2-y^2=a^2 is a^2(y^2-x^2)=4x^2y^2dot

If the straight line y=my+1 be the tangent of the parabola y^2=4x at the point (1,2), then the value of m will be

At any point on the curve 2x^2y^2-x^4=c , the mean proportional between the abscissa and the difference between the abscissa and the sub-normal drawn to the curve at the same point is equal to (a) ordinate (b) radius vector (c) x-intercept of tangent (d) sub-tangent