Question

ASSERTION (A): The point (-1,6) divides the line segment joining the points (-3,10) & (6,-8) in the ratio 2:7 internally. REASON (R): Three points A, B & C are collinear if area of triangle ABC = 0 *
Both A and R are true and R is the correct explanation of A.
Both A and R are true & R is not the correct explanation of A.
A is true but R is false.
A is false but R is true.
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Answer 1

Answer:

Both A and R are true & R is not the correct explanation of A.

Answer 2

Step-by-step explanation:

We know that the three points A,B and C are collinear if AB + BC = AC

So, Reason is correct.

Let the ratio is k : 1. Here, x1 = -3, y1 = 10, x2 = 6, y2 = -8, x = -1, y = 6

Now, y-coordinate



⇒ -8k + 10 = 6k + 6

⇒ 10 – 6 = 6k + 8k

⇒ 14k = 4

⇒ k = 4/14 = 2/7

So, Assertion is correct

But reason (R) is not the correct explanation of assertion (A).