﻿ Angle between the tangents drawn from (1, 4) to the parabola y2 = 4x is , where m is equal to : Kaysons Education

# Angle Between The Tangents Drawn From (1, 4) To The Parabola y2 = 4x is , Where m is Equal To

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## Question

### Solution

Correct option is

3

Equations of the pair of tangents is

(y2 – 4x)(16 – 4) = [4y – 2(x + 1)]2

12(y2 – 4x) = 4(2y – x – 1)2

3(y2 – 4x) = 4y2 + x2 + 1 – 4xy + 2x – 4y

x2 + y2 – 4xy + 14x – 4y + 1 = 0

If  is the angle between these lines

Then

.

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