Question

If the point dividing internally the line segment joining the points (a, b) and (5, 7) in the ratio 2 : 1 be (4, 6), then.

• A. $a = 1,b = 2$
• B. $a = 2,b = - 4$
• C. $a = 2,b = 4$
• D. $a = - 2,b = 4$

Answer 1

Answer: (C)

$a = 2,b = 4$

Answer 2

$\frac { 2 \times 5 + 1 ( a ) } { 2 + 1 } = 4 \Rightarrow a = 2$ and

$\frac { 2 \times 7 + 1 ( b ) } { 2 + 1 } = 6 \Rightarrow b = 4$.