Geometry

Miscellaneous

Medium

If the distance of the point P (x, y) from A (0, a) is a + y, then $x^2$ equals to:

6ay

-6ay

4ay

-4ay

✅ Correct Option: 3

Using the distance formula, $x^2 + (y-a)^2 = (a+y)^2$ . Expanding gives $x^2 + y^2 - 2ay + a^2 = a^2 + 2ay + y^2$ , so $x^2 = 4ay$ .

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If the distance of the point P (x, y) from A (0, a) is a + y, then x2x^2x2 equals to: