First slide

Equation of line in Straight lines

Question

The sum of the intercepts of the line whose portion intercepted between the axes bisected by

Moderate

A

12
B

16
C

10
D

8

Solution

The equation of the line whose portion intercepted between the axes bisected by $(x_{1}, y_{1})$ is $\frac{x}{x_{1}} + \frac{y}{y_{1}} = 2$ , sum of its intercepts is $2 x_{1} + 2 y_{1}$
Hence, the sum of the intercepts of the line whose portion intercepted between the axes bisected by $(3, 5)$ is $2 (3) + 2 (5) = 16$

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