Question

If A (2, – 1) and B(6, 5) are two points the ratio in which the foot of the perpendicular from (4, 1) to AB divides it, is-

• A. 8 :15
• B. 5 : 8
• C. – 5 : 8
• D. – 8 : 5

Answer 1

Answer: (B)

5 : 8

Answer 2

Let, $\frac { \mathrm { Am } } { \mathrm { mB } } = \frac { \lambda } { 1 }$

\ $\mathrm { m } \left\{ \frac { 6 \lambda + 1 ( 2 ) } { \lambda + 1 } , \frac { 5 \lambda + ( - 1 ) } { \lambda + 1 } \right\}$ \ pm ⊥ AB

 $\frac { 5 } { 8 }$