Home Maths Straight Line Problems Related to Triangle and Quadrilateral, Locus The equation of the line which makes right a…
Maths Straight Line Problems Related to Triangle and Quadrilateral, Locus Single Correct MCQ
Published on: August 13, 2026

The equation of the line which makes right angled triangle with axes whose area is 6 sq. units and whose hypotenuse is of 5 units is -

A
+ = ± 1
B
= ± 3
C
+ = ± 1
D
= ± 1

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Text Solution

Verified by Experts
The correct answer is:
A

Equation of line AB, x/a + y/b = 1 .....(i)

Given, Area of Δ OAB = 1/2ab = |6|

⇒ ab = ± 12 ......(ii)

& AB = |5| ⇒ a 2 + b 2 = 25.....(iii)

Solve (ii) & (iii) ⇒ {a= ?, b = ?

⇒ put in (i)

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