Q12 of 48 Page 99

Find the points on y-axis which are situated at equal distances from the points (–5, –2) and (3, 2).

We have A → (–5, –2)


B → (0, y) equidistant from A and C


(x = 0 since B lies on Y-axis)


C → (3, 2)


Using the distance formula,









Since B is equidistant from A and C


∴ AB = BC



Squaring both sides



8y + 16 = 0


y = –2


The required point is B (0, –2).


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