Question

Find the value of k, if the points A(2,3),

B(4,k) and C(6,-3) are collinear.​

Answer 1

Answer:

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Answer 2

Answer:

The value of k is 0.

Step-by-step explanation:

Given : If the points A( 2,3), B (4,k) and C (6,-3) are collinear.

To find : The value of k?

Solution :

When three points are collinear then the condition is

x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) = 0

Where, x_1 = 2, x_2 = 4, y_1 = 3, y_2 = k, x_3 = 6, y_3 = -3

Substituting the values,

2(k + 3) + 4(-3 - 3) + 6(3 - k) = 0

2k + 6 + 4(-6) + 18 - 6k = 0

2k + 6 - 24 + 18 - 6k = 0

-4k + 0 = 0

k=0

Therefore,