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Question: The coordinates of a point are (0, 1) and the ordinate of another point is –3. If the distance betwe...

The coordinates of a point are (0, 1) and the ordinate of another point is –3. If the distance between the two points is 5, then the abscissa of another point is-

A

3

B

–3

C

± 3

D

1

Answer

± 3

Explanation

Solution

Let the point B (x, –3) and A(0, 1)

Given AB = 5 x2+(1+3)2\sqrt{x^{2} + (1 + 3)^{2}} = 5

Ž x2 = 25 – 16

x = ± 3