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Question: If the area of the triangle with vertices (x, 0), (1, 1) and (0, 2) is 4 square units then a value o...

If the area of the triangle with vertices (x, 0), (1, 1) and (0, 2) is 4 square units then a value of x is-

A

– 2

B

– 4

C

– 6

D

8

Answer

– 6

Explanation

Solution

Area = 4

12\frac{1}{2} [x (1 – 2) + 1 (2 – 0) + 0 (0 – 1)] = 4

Ž – x + 2 = 8

Ž x = – 6