Let 2a + 2b + c = 0, then the equation of the straight line…

Maths Straight Line NTA Abhiyas Question Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

Let 2a + 2b + c = 0, then the equation of the straight lineax + fry + c = 0 which is farthest from the point (1,1) is

y= x

y + x = 2

y + x = 4

y = x + 2

Text Solution

Verified by Experts

The correct answer is:

y + x = 4

All the lines ax + by + c = 0 pass through the point (2,2).

The line passing through (2,2) & farthest from (1,1) is perpendicular to the line joining (1,1) & (2,2)

Now, the slope of the line joining (1,1) & (2,2) is = 1

The slope of the required line is -1

Required line is = -1

y+x=4

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