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Points of Trisection

The ratio in ...

Question

The ratio in which the line segment joining points A (a₁, b₁) and B (a₂, b₂) is divided by y-axis is

(a) −a₁ : a₂

(b) a₁: a₂

(c) b₁ : b₂

(d) −b₁ : b₂

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Solution

Let P be the point of intersection of y-axis with the line segment joiningandwhich divides the line segment AB in the ratio.

Now according to the section formula if point a point P divides a line segment joining andin the ratio m:n internally than,

Now we will use section formula as,

Now equate the x component on both the sides,

On further simplification,

So the answer is (a)

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