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14. Co-ordinate Geometry
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Q3 of 149 Page 14

If the points (2, 1) and (1,-2) are equidistant from the point (x, y), show that x + 3y = 0.

Distance from point (2, 1) = Distance from point (1, -2)



Square roots are cancelled, therefore






More from this chapter

All 149 →
1

Find the distance between the following pair of points:

(i) (-6,7) and (-1, -5)

(ii) (a + b, b + c) and (a - b, c - b)

(iii) (a sin a, - b cos a) and (-a cos a, b sin a)

(iv) (a, 0) and (0, b)

2

Find the value of a when the distance between the points (3, a) and (4, 1) is .

4

Find the values of x, y if the distances of the point (x, y) from (-3, 0) as well as from (3, 0) are 4.

5

The length of a line segment is of 10 units and the coordinates of one end-point are (2,-3). If the abscissa of the other end is 10, find the ordinate of the other end.

Questions · 149
14. Co-ordinate Geometry
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