Question

# (i) In what ratio is the line segment joining the points (-2, -3) and (3, 7) divided by the y-axis ? Also, find the coordinates of the point of division.  (ii) In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point (−5,−215)?

Solution

## i) Let the ratio in which the line is divided be a:1 and the point of division be (0,y) So, 0=3a−2a+1 ⇒a=23 Now, y=7×23−323+1=1 So, the point is (0,1). ii) Let the ratio in which the line is divided be k:1. So, −5=−8k−3k+1 ⇒−5k−5=−8k−3 ∴k=23 MathematicsRD SharmaStandard X

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