Question

If the point \(\mathrm{P}(6, 2)\) divides the line segment joining \(\mathrm{A}(6, 5)\) and \(\mathrm{B}(4, y)\) in the ratio 3 : 1, then the value of y is ______.

विकल्प

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Answer 1

If the point \(\mathrm{P}(6, 2)\) divides the line segment joining \(\mathrm{A}(6, 5)\) and \(\mathrm{B}(4, y)\) in the ratio 3 : 1, then the value of y is 1.

Explanation:

Using the y-coordinate of the section formula with \(m = 3, n = 1\):

$$\frac{3 \times y + 1 \times 5}{3 + 1} = 2$$

$$\Rightarrow 3y + 5 = 8$$

$$\Rightarrow y = 1$$

Hence y = 1.