﻿ The length of chord of contact of the tangents drawn from the point (2, 5) to the parabola y2 = 8x, is  : Kaysons Education

# The Length Of Chord Of Contact Of The Tangents Drawn From The Point (2, 5) To The Parabola y2 = 8x, Is

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## Question

### Solution

Correct option is

Equation of chord of contact drawn from (x1y1) to parabola

y2 = 4ax is yy1 = 2a(x + x1)

Equation of chord of contact drawn from (2, 5) to parabola

y2 = 8x                                         ... (1)

is                         5y = 4(x + 2)

4x – 5y + 8 = 0                              ... (2)

Point of intersection of (1) and (2) is y2 = 2(5y – 8)

y2 – 10y + 16 = 0

(y – 8)(y – 2) = 0

y = 2, y = 8

y2 = 8x and y = 2

points are , (8, 8) and so length

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