The points , and form a triangle of area square units. If is a positive real number,…

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

Problem

The points

A(1,2)

B(4,-1)

and

C(k,3k)

form a triangle of area

7

square units. If

k

is a positive real number, what is the value of

k

? (a)

\dfrac{4}{3}

(b)

\dfrac{5}{12}

(c)

\dfrac{23}{12}

(d)

\dfrac{23}{6}