Question

Find the value of k if the points ,A(2,3) B (4,k) C (6,-3) if they are collinear.​

Answer 1

Answer:

Step-by-step explanation:

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​×∣∣∣∣∣∣∣∣​246​3k−3​111​∣∣∣∣∣∣∣∣​

Therefore,

∣∣∣∣∣∣∣∣​246​3k−3​111​∣∣∣∣∣∣∣∣​=0

[2(k−(−3))−3(4−6)+1((−12)−6k)]=0

2k+6+6−12−6k=0

−4k=0

⇒k=0

Thus the value of k is 0.

Hence the correct answer is 0.

Answer 2

Answer:

c is your answer

Step-by-step explanation: