Home
Class 12
MATHS
The sum of the ordinates of two points o...

The sum of the ordinates of two points on `y^2=4ax` is equal to the sum of the ordinates of two other points on the same curve. Show that the chord joining the first two points is parallel to the chord joining the other two points.

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that the line joining the points (4,-1) and (-3,3) is parallel to the line joining the points (8,0) and (1,4) .

Find a point on the curve y=(x-2)^2 at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4).

Find the point on the curve y = (x - 2)^(2) at which the tangent is parallel to the chord joining the points (2,0) and (4,4).

Show that the line joining the points (4,5) and (1,2) is parallel to the line joining the points (9,-2) and (12,1) .

. Prove that the tangent drawn at the mid-point of an arc of a circle is parallel to the chord joining the end points of the arc.

Prove that the line joining the mid-points of two parallel chords of a circle passes through the centre.

Prove that the line joining the mid-points of two parallel chords of a circle passes through the centre.

Prove that the line joining the mid-points of two parallel chords of a circle passes through the centre.

Find a point on the curve y=x^2+x , where the tangent is parallel to the chord joining (0, 0) and (1, 2).

The point on the curve f (x) = sqrt(x ^(2) - 4) defined in [2,4] where the tangent is parallel to the chord joining the end points on the curve is