Home Maths Straight Line JEE (Main) / AIEEE Problems Previous Years Two sides of a rhombus are along the lines, …
Maths Straight Line JEE (Main) / AIEEE Problems Previous Years Single Correct MCQ
Published on: August 14, 2026

Two sides of a rhombus are along the lines, x – y + 1 = 0 and 7x – y – 5 = 0. if its diagonals intersect at (–1, –2), then which one of the following is a vertex of this rhombus ?

A
(–3, –8)
B
C
D
(–3, –9)

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Text Solution

Verified by Experts
The correct answer is:
B

Sol.

On solving equation of AB & AD

vertex A(1, 2)

A(1, 2)

 P is mid point of AC. Hence vertex C is (–3, –6).

So equation of other two sides are 7x – y + 15 = 0 and x – y – 3 = 0.

Hence other vertices are and

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