Arithmetic Progression

MCQ - 460-9192

Question:

If the point C(k, 4) divides the join of the points A(2, 6) and B(5, 1) in the ratio 2 : 3 then the value of k is

16
$\frac{8}{5}$
$\frac{16}{5}$
$\frac{8}{5}$

Correct Answer: C

Explanation:

⇒ If P(x, y) is the dividing point of the line joining AB then By Section Formula we have,
⇒

where m and n is the ratio in which the point C divides the line AB
Finding the value of k:
⇒ m = 2 and n = 3

The value of k is 16/5.

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