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Question -

If area of triangle is35 square units with vertices (2, −6), (5, 4), and (k, 4). Then k is

A. 12 B. −2 C. −12,−2 D. 12, −2



Answer -

The area of the trianglewith vertices (2, −6), (5, 4), and (k, 4) is given by the relation,

It is given that thearea of the triangle is ±35.

Therefore, we have:

When 5 − k =−7, k = 5 + 7 = 12.

When 5 − k =7, k = 5 − 7 = −2.

Hence, k =12, −2.

The correct answer is D.

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