Question

for what value of k for which the points A(9,k), B(4,-2) and C(3,-3) are collinear

Answer 1

Answer:

k=3

Step-by-step explanation:

Answer 2

Find the value of K if the point A (2,3) ,B(4,K)and C(6,−3) are collinier

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ANSWER

Given that the points A(2,3),B(4,k) and C(6,−3) are collinear.

As we know that if three points are collinear then they will lie of a same plane and thus will not form a triangle.

Therefore,

Area of triangle formed by these points will be 0

Therefore,

Now,

Area of △ formed by these points =21×∣∣∣∣∣∣∣∣2463k−3111∣∣∣∣∣∣∣∣

Therefore,

∣∣∣∣∣∣∣∣2463k−3111∣∣∣∣∣∣∣∣=0

[2(k−(−3))−3(4−6)+1((−12)−6k)]=0