Home
Class 11
MATHS
Show that for any point of the curve x^2...

Show that for any point of the curve `x^2 - y^2 = a^2` the segment of the normal from the point to the point of intersection of the normal with the x-axis is equal to the distance of the point from the origin.

Promotional Banner

Similar Questions

Explore conceptually related problems

The slopes of the normals to the parabola y^(2)=4ax intersecting at a point on the axis of the a distance 4a from its vertex are in

The slopes of the normal to the parabola y^(2)=4ax intersecting at a point on the axis of the parabola at a distance 4a from its vertex are in

Equation of the normal to the curve y=-sqrt(x)+2 at the point of its intersection with the curve y=tan(tan-1x) is

The equation of the normal to the curve y=x(2-x) at the point (2, 0) is

At what point on the curve y = 2x^2 - 4x + 3 , the normal is parallel to Y-axis.

If the tangent to the curve y= e^x at a point (c, e^c) and the normal to the parabola, y^2 = 4x at the point (1,2) intersect at the same point on the x-axis then the value of c is ____________.

The minimum distance of a point on the curve y=x^2-4 from origin ,

The minimum distance of a point on the curve y=x^2-4 from origin ,

Find the curve for which any tangent intersects the y-axis at the point equidistant from the point oftangency and the origin.