Maths Straight Line Foot of Perpendicular, Transformation, Pedal Points, Image of A Point Single Correct MCQ
Published on: August 13, 2026

The image of the point (3, 8) in the line x + 3y = 7 is

A
(1, -4)
B
(1, 4)
C
(-1, -4)
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
C

Let P ′ ′ the image of P in the line x + 3y = 7.

Then x + 3y = 7 will be perpendicular bisector of PP ′ ′ .

Equation of PP ′ ′ is y – 8 = 3(x-3)

⇒ ⇒ 3x –y – 1 = 0.

On sol v ing 3x-y-1 = 0 and x + 3y = 7,we get the

coordinates of M as (1, 2). Since M is mid point of PP’,

coordinates of P ′ ′ are (-1, -4)

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