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If the points A(x, 2), B(-3, -4) and C(7...

If the points A(x, 2), B(-3, -4) and C(7, -5) are collinear then the value of x is ?

A

`-63`

B

`63`

C

`60`

D

`-60`

Text Solution

Verified by Experts

The correct Answer is:
A
Here, `(x_(1) = x, y_(1) = 2), (x_(2) = -3, y_(2) = -4) "and" (x_(3) = 7, y_(3) = -5)`
`therefore x_(1)(y_(2) -y_(3)) +x_(2)(y_(3) -y_(1)) +x_(3)(y_(1) - y_(2)) = 0`
`rArr x(-4+5) - 3(-5-2) + 7 (2+4) = 0`
`rArr x + 21 +42 = 0 rArr x = -63`
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