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101.
The perpendicular distance of a point from the x-axis is 4 units and the perpendicular distance from the v-axis is 5 units. Write the coordinates of such a point if it lies in the

(a) I quadrant (b) II quadrant

(c) III quadrant (d) IV quadrant

Solution not provided.

Ans. (a) (5, 4) (b) (-5, 4) (c) (-5, -4) (d) (5, - 4)

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102. Plot the points A(0, 3), B(5, 3), C(4, 0) and D(-1, 0) on the graph paper. Identify the figure ABCD and find whether the point (2, 2) lies in side the figure or not?

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103.

In which quadrant do the following points lie?

(a) (-6, 2) (b) (-5, -4)

(c)(3, -2) (d) (9, 6)

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104. Find the co-ordinates of the vertices of a rectangle placed in III quadrant, in the Cartesian plane with length ‘p’ units on x-axis and breadth ‘q’ units on y-axis.

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105.

Locate and write the co-ordinates of a point:

(a)    above x-axis lying on y-axis at a distance of 5 units from origin
(b)    below x-axis lying on y-axis at a distance of 3 units from origin.
(c)    lying on x-axis to the right of origin at a distance of 5 units.
(d)    lying on x-axis to the left of origin at a distance of 2 units.

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106.

If the co-ordinates of a point M are (2, 9) which can also be expressed as (1 + x, y²) and y > 0, then find in which quadrant do the following points lie:

P (y, x), Q (2, x), R (x², y - 1), S (2x, - 3y)

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107. The area (∆OAB) = area (∆OPQ). Find the ordinate of point A.

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108.

Plot the following points, join them and identify the figure thus obtained:
P (-1, 0), Q (2, 0), R (2, 3) and S (-1, 5).

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109.

In which quadrant or on which axes the following points lie?
P (-2, 4), Q (3, -1), R (-1, 0) and S (0, -4).

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110. Points A (5, 3), B (-2, 3) and D (5, -4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the co-ordinates of vertex C.

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