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Coordinate Geometry

Short Answer Type

21. Observe figure and answer the following:

(a)    co-ordinates of B
(b)    point identified by the coordinates (-2, -3)
(c)    abscissa of point D (d) ordinate of point H
(e)    points with the same abscissa
(f)    points with the same ordinate

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22. In figure, ∆ABC is an equilateral triangle with coordinates of B and C as (-4, 0) and (4, 0) respectively. Find the coordinates of the vertex.

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23.
In which quadrant do the following points lie?
(a) (-4, -5) (b) (-3, 5)
(c) (2, 2) (d) (4, -1)

Solution not provided.

Ans. (a) III (b) II (c) IV

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24.

Find the co-ordinates of the point which lies on y-axis at a distance of 4 units in negative direction of y-axis.

(a) (-4, 0) (b) (4, 0)
(c) (0, -4) (d) (0,4)

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25. Plot the points A(-3, -3), B(3, -3), C(3, 3), D(-3, 3) in the cartesian plane. Also, find the length of line segment AB.

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26. The lengths of perpendiculars PM and PN drawn from a point P, on x-axis and y-axis are of 3 and 2 units respectively. Find the coordinates of points P, M and N.

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27.

Observe the points plotted in the figure and find the following:

(i)    The co-ordinates of E
(ii)    The point with the co-ordinates (-4, -1)
(iii)    The abscissa of A - abscissa of B
(iv)    The ordinate of C + ordinate of F

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28.

From given figure write the following:

(a)    The coordinates of P
(b)    The abscissa of the point Q
(c)    The ordinate of the point R
(d)    The points whose abscissa is O.

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29.

The perpendicular distance of a point from the x-axis is 4 units and the perpendicular distance from the y-axis is 5 units. Write the co-ordinates of such a point if it lies in the:

(i) I quadrant (ii) II quadrant
(iii) III quadrant (iv) IV quadrant

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30.

The perpendicular distance of a point from the x-axis is 2 units and the perpendicular distance from the y-axis is 5 units. Write the co-ordinates of such a point if it lies in the:

(i) I quadrant (ii) II quadrant

(iii) III quadrant (iv) IV quadrant

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