Home Maths Straight Line Problems Related to Triangle and Quadrilateral, Locus A quadrilateral is formed by the lines + =…
Maths Straight Line Problems Related to Triangle and Quadrilateral, Locus Single Correct MCQ
Published on: August 12, 2026

A quadrilateral is formed by the lines

+ = 1, + = 1, + = 2, + = 2.

Then for a > b

A
8
B
10
C
16
D
None of these

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Text Solution

Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(a, b, c, d)

+ = 1, + = 1, + = 2, + = 2

are two sets of parallel lines. Perpendicular distance between both sets are

=

∴ is correct.

Therefore, quadrilateral is a rhombus.

∴ is correct.

If angle between non-parallel sides = θ , then

tan θ = = (a > b)

∴ is correct.

Now area = p 1 p 2 cosec θ

= . =

∴ is also correct.

Hence, , , and all correct.

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