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If the distance of the point P (x,y) from A (a,o) is a+x, prove that y^2 = 4ax |
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Answer» Using the distance formula, √(x1 - x2)2 + (y1 - y2)2 √(x - a)2 + (y - 0)2 = a + x (x-a)2 + y2 = (a + x )2 x2 + a2 - 2ax + y2 = a2 + x2 + 2ax - 2ax + y2 = 2ax y2 = 2ax + 2ax y2 = 4ax |
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