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Question

Quantitative Aptitude Question on Geometry

In a rectangular coordinate system, triangle ABC is drawn so that one side of the triangle connects two points on the y axis, A(0, 2) and B(0, -4). If point C has coordinates (c, 0) and the area of ABC is 21, then C =

A

53\sqrt{53}

B

7

C

13\frac{1}{3}

D

21

Answer

7

Explanation

Solution

Area=base×height2Area=base\times\frac{height}{2}
21=6c221=\frac{6c}{2}
c=7c=7
The correct option is (B): 7