Q8 of 48 Page 102

If the point P(3, 5) divides the line segment joining the points A(–2, 3) and B in the ratio 4 : 7 then find the coordinates of B.

Let the coordinates of B be (x, y).


Using internal division formula, we have



⇒


⇒ 4x – 14 = 33


⇒ 4x = 47


⇒ x =


and 5 =


⇒


⇒ 4y + 21 = 55


⇒ 4y = 34


⇒ y =


B is the required point.


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In what ratio is the line segment joining the points (2, –3) and (5, 6) is divided by y-axis?

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