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Question

The points (1,1),(-5,5) and (13,λ) lie on the same straight line if λ is equal to


A

7

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B

-7

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C

±7

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D

0

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Solution

The correct option is B

-7


Compute the required value:

Let A(1,1),B(-5,5) and C(13,λ) are the points.

Slope of AB=(5-1)(-5-1)

=-46

=-23

Slope of BC =λ-513+5

=λ-518

Since, if the points lie on the same straight line, the slopes will be equal.

-23=(λ-5)18

λ-5=-12

λ=-12+5

λ=-7

Hence option B is the correct answer.


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