Question

If the coordinates of the points A and B be (3, 3) and

(7, 6), then the length of the portion of the line AB intercepted between the axes is.

• A. $\frac { 5 } { 4 }$
• B. $\frac { \sqrt { 10 } } { 4 }$
• C. $\frac { \sqrt { 13 } } { 3 }$
• D. None of these

Answer 1

Answer: (A)

$\frac { 5 } { 4 }$

Answer 2

Equation of line $A B$is

$y - 3 = \frac { 6 - 3 } { 7 - 3 } ( x - 3 )$

⇒ $3 x - 4 y + 3 = 0 \Rightarrow \frac { x } { - 1 } + \frac { y } { 3 / 4 } = 1$

Hence required length is

= $\sqrt { ( - 1 ) ^ { 2 } + \left( \frac { 3 } { 4 } \right) ^ { 2 } } = \frac { 5 } { 4 }$ .