In , the vertices are , and . Point divides internally in the ratio . What is the…

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

\triangle ABC

, the vertices are

A(0,0)

B(6,0)

and

C(6,8)

. Point

D

divides

AC

internally in the ratio

1:3

. What is the length of

BD

? (a)

5\text{ units}

(b)

\dfrac{4\sqrt{13}}{3}\text{ units}

(c)

\dfrac{\sqrt{97}}{2}\text{ units}

(d)

\dfrac{\sqrt{153}}{2}\text{ units}