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14. Co-ordinate Geometry
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Q44 of 149 Page 14

If a point A (0, 2) is equidistant from the points B (3, p) and C (p, 5), then find the value of p.

Using distance formula =


⇒ AB = AC



On squaring both sides, we get


=




More from this chapter

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42

Find a point on y-axis which is equidistant from the points (5, - 2) and (- 3, 2).

43

Find a relation between x and y such that the point (x, y) is equidistant from the points (3, 6) and (-3, 4).

45

Prove that the points (7, 10), (-2, 5) and (3, -4) are the vertices of an isosceles right triangle.

46

If the point P (x, 3) is equidistant from the points A (7,-1) and B (6, 8), find the value of x and find the distance AP.

Questions · 149
14. Co-ordinate Geometry
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