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CGP EDU Academic Team
Published on: August 13, 2026
The quadratic equation whose roots are the a and b intercepts of the line passing through (1, 1) and making a triangle of area A with the coordinate axes, is
Text Solution
Verified by ExpertsThe correct answer is:
B
Equatio n of the line, having intercepts a and b on the x and the y axes respectively, is
x/a + y/b = 1. . . . . . (1)
It passes through (1, 1) ⇒ ⇒ 1/a + 1/b = 1.
Since the area of the triangle formed by the lines and the axes is A,
ab = 2A. . . . . .(2)
From (1) & (2) we get a + b = 2A.
Here a, b are the roots of x 2 – (a+b)x + ab = 0 or x 2 – 2Ax + 2A = 0
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