Question

25. The straight line whose sum of the intercepts on the axes is equal to half of the product of thebintercepts, passes through the point :
(a) (1,1)
(b) (2, 2)
(c) (3, 3)
(d) (4, 4)

​

Answer 1

$\huge{\boxed{\overline{\underline{\mathfrak{\fcolorbox{cyan}{blue}{Answer}}}}}}$

=> Straight line passes through the point (2,2).

Given, the sum of intercepts of straight line = 1/2 × the product of intercepts.

Let a and b be the intercepts made by the straight line on the axes.

a + b = ab/2

=> (2a + 2b)/ab = 1

=> 2/a + 2/b = 1

On comparing with x/a + y/b = 1, we get

x = 2, y = 2

The required point is (2,2).

Hence, straight line passes through the point (2,2).

silentlover45.❤️

Answer 2

Answer

=> Straight line passes through the point (2,2).

Given, the sum of intercepts of straight line = 1/2 × the product of intercepts.

Let a and b be the intercepts made by the straight line on the axes.

a + b = ab/2

=> (2a + 2b)/ab = 1

=> 2/a + 2/b = 1

On comparing with x/a + y/b = 1, we get

x = 2, y = 2

The required point is (2,2).

Hence, straight line passes through the point (2,2).