Maharashtra State BoardHSC Arts 11th
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Answer the following: Find the equation of the tangent to the parabola y2 = 8x at t = 1 on it - Mathematics and Statistics

Sum

Answer the following:

Find the equation of the tangent to the parabola y2 = 8x at t = 1 on it

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Solution

Given equation of the parabola is y2 = 8x

Comparing this equation with y2 = 4ax, we get

4a = 8

∴ a = `8/4` = 2

t = 1

Equation of tangent with parameter t is

yt = x + at

∴ The equation of tangent with t = 1 is 

y(1) = x + 2(1)2

∴ y = x + 2

∴ x – y + 2 = 0

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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 7 Conic Sections
Miscellaneous Exercise 7 | Q 2.05 | Page 177
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