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Question: The straight line whose sum of the intercepts on the axes is equal to half of the product of the int...

The straight line whose sum of the intercepts on the axes is equal to half of the product of the intercepts, passes through the point –

A

(1, 1)

B

(2, 2)

C

(3, 3)

D

(4, 4)

Answer

(2, 2)

Explanation

Solution

a + b = Ž 2a + 2b = ab

Let line is xa\frac { \mathrm { x } } { \mathrm { a } } + yb\frac { y } { b } = 1 Ž bx + ay = ab

Ž bx + ay = 2a + 2b

b(x – 2) + a(y – 2) = 0