Question

Among the lines passing through C (3, 1), BA is farthest from the origin and cuts the x-axis and y-axis at A and B respectively. Then BC : CA is

• A. 9 : 1
• B. 1 : 9
• C. 3 : 1
• D. $\sqrt { 3 }$ : 1

Answer 1

Answer: (A)

9 : 1

Answer 2

If BA is farthest from the origin, then OC must be perpendicular to BA and has a slope = – 3. Equation of BA is y – 1 = –3 (x – 3)

3x + y = 10 \ A =$\left( \frac { 10 } { 3 } , 0 \right)$ and B = (0, 10).

If , then = 3 \ l = 9.