﻿ The angle between the tangents drawn from the origin to the parabola y2 = 4a(x – a) is : Kaysons Education

# The Angle Between The Tangents Drawn From The Origin To The Parabola y2 = 4a(x – A) Is

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## Question

### Solution

Correct option is

900

Any line through origin is y = mx,. Since it is a tangent to

y2 = 4a(x – a), it will cut it in two coincident points.

Roots of m2x2 – 4ax + 4a2 are equal

16a2 – 16a2m2 = 0  or m2 = 1

or  m = 1, –1.

Product of slopes = –1

Hence a right angle.

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