Question

The equation of line whose mid point is $\left( x _ { 1 } , y _ { 1 } \right)$ in between the axes, is.

• A. $\frac { x } { x _ { 1 } } + \frac { y } { y _ { 1 } } = 2$
• B. $\frac { x } { x _ { 1 } } + \frac { y } { y _ { 1 } } = \frac { 1 } { 2 }$
• C. $\frac { x } { x _ { 1 } } + \frac { y } { y _ { 1 } } = 1$
• D. None of these

Answer 1

Answer: (A)

$\frac { x } { x _ { 1 } } + \frac { y } { y _ { 1 } } = 2$

Answer 2

Intersection point on x-axis is $\left( 2 x _ { 1 } , 0 \right)$ and on y-axis is $\left( 0,2 y _ { 1 } \right)$. Thus equation of line passes through these points is $\frac { x } { x _ { 1 } } + \frac { y } { y _ { 1 } } = 2$.