﻿ Find the equation of the straight line through the point P(a, b) parallel to the lines . Also find the intercepts made by it on the axes. : Kaysons Education

# Find The Equation Of The Straight Line Through The Point P(a, b) Parallel To The Lines . Also Find The Intercepts Made By It On The Axes.

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## Question

### Solution

Correct option is

2a and 2b

Let the line

meets the axes in A and B respectively.

So that

OA = aOB = b

Let the required parallel line meet in A’ and B’ respectively, so thet

OA’ = a’ and OB’ = b’

∴ Equation of required line is

Since âˆ†’s OAB and OAB’ are similarly, then

Substituting these values in eq. (i) then

It passes through (ab) then

From (ii) required equation is

Evidently intercepts on the axes are 2a  and 2b.

#### SIMILAR QUESTIONS

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Q9

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