# Find the va

The given points (x, – 1), (2, 1) and (4, 5) are collinear.

To Find: The value of x.

Concept Used: It is given that points are collinear, SO the area of the triangle formed by the points must be zero.

Formula used: The area of triangle = x1(y1 – y3) + x2(y3 – y1) + x3(y1 – y2)

Explanation: Let be points of triangle A(x, – 1), B(2, 1) and C(4, 5)

Now, The points are collinear than, Area of a triangle is zero.

Here, Put the given values in formula and we get,

x(1 – 5) + (2)(5 – (– 1)) + 4(– 1 – 1) = 0

x – 5x + 12 – 8 = 0

– 4x + 4 = 0

4x = 4

x = 1

Hence, The value of x is 1.

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