The points (5, 1), (1, 1) and (11, 4) area)collinearb)vertices of right angled trianglec)vertices of equilateral triangled)vertices of an isosceles triangleCorrect answer is option 'A'. Can you explain this answer?

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Answer

**Answer:**

To determine whether the points (5, 1), (1, 1), and (11, 4) are collinear, we can use the concept of slope.

**Finding the slope between points (5, 1) and (1, 1):**

The slope between two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the given values:

m = (1 - 1) / (1 - 5) = 0 / -4 = 0

**Finding the slope between points (1, 1) and (11, 4):**

m = (4 - 1) / (11 - 1) = 3 / 10

Since both slopes are different, the points (5, 1), (1, 1), and (11, 4) are not collinear.

Therefore, the correct answer is option 'a' - the points are not collinear.

**Additional Information:**

Collinear points: Collinear points are points that lie on the same straight line. In other words, if the slope between any two points is the same, then they are collinear.

In this case, the slopes between all possible pairs of points are different, which means the points do not lie on the same straight line.

Answer

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