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14. Co-ordinate Geometry
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Q1 of 149 Page 14

On which axis do the following points lie?

(i) P (5, 0) (ii) Q (0 -2)


(iii) R (- 4, 0) (iv) S (0, 5)

P on x-axis, since ordinate is zero.

Q on y-axis, since abscissa is zero.


R on x-axis, since ordinate is zero.


S on y-axis, since abscissa is zero.


More from this chapter

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2

Let ABCD be a square of side 2a. Find the coordinates of the vertices of this square when

(i) A coincides with the origin and AB and AD are along OX and OY respectively.


(ii) The centre of the square is at the origin and coordinate axes are parallel to the sides AB and AD respectively.

3

The base PQ of two equilateral triangles PQR and PQR' with side 2a lies along y-axis such that the mid-point of PQ is at the origin. Find the coordinates of the vertices R and R' of the triangles.

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 .

Questions · 149
14. Co-ordinate Geometry
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