Let , , and be four points in the plane, where . If , then the value of…

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

Problem

Let

A(2,3)

,

B(k,7)

,

C(8,3)

and

D(8,11)

be four points in the plane, where

k>4

. If

\operatorname{ar}(\triangle ABC)=\operatorname{ar}(\triangle ABD)

, then the value of

k

is (a)

10

(b)

8

(c)

11

(d)

6

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