The vertices of a triangle are

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

Problem

A(0,0)

B(6,0)

and

C(0,8)

. A point

P(k,2)

is chosen inside the plane. If

\text{Area}(\triangle BCP)=\text{Area}(\triangle CAP)

, which of the following values of

k

satisfies the condition and places

P

strictly inside

\triangle ABC

? (a)

1.50

(b)

4.50

(c)

2.25

(d)

3.00