Question

find the value of k if the points (k,3), ,(6-2) and (-3,4) are collinear​

Answer 1

Step-by-step explanation:

apply the formula of triangle

area of triangle=0

by substituting you get answer

Answer 2

Given:

• Points (k,3) , (6, -2) , (-3,4) are collinear.

To find:

• Value of k?

Solution:

Here,

• x₁ = k , y₁ = 3

• x₂ = 6 , y₂ = - 2

• x₃ = - 3 , y₃ = 4

Given that,

• Points are Collinear.

Collinear points:

• Collinear points are the points that lie on the same line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear.

Therefore,

⇒ x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃ (y₁ - y₂) = 0

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

⇒ k(- 6) + 6(1) + (-3) × 5 = 0

⇒ - 6k + 6 - 15 = 0

⇒- 6k - 9 = 0

⇒ - 6k = 9

⇒ k = 9/6

⇒ k = 3/2

Hence, Value of k is 3/2.