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Q1. Which of the following points lie on x-axis? Which on y-axis? A(0,2), B(5,6), C(-3,0), D(0,-3), E(0,4), F(6,0), G(3,0)

Solution

If x-coordinate of a point is zero then it lies on y-axis and if y-coordinate is zero then it lies on x-axis.   Points on x-axis : C(-3,0), F(6,0), G(3,0) Points on y-axis : A(0,2), D(0,-3), E(0,4)

Q2. 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 coordinates of such a point if it lies in the (i) I Quadrant (ii) II Quadrant (iiii) III Quadrant (iv) IV Quadrant

Solution

(i) In the first quadrant, the coordinates of the required point will be (5,4). (ii) In the second quadrant, the coordinates of the required point will be (-5,4). (iii) In the third quadrant, the coordinates of the required point will be (-5,-4). (iv) In the fourth quadrant, the coordinates of the required point will be (5,-4).

Q3. In which quadrant do the given points lie? (a) (2, -1) (b) (-1, 7) (c) (-2, -3) (d) (4, 5)

Solution

(a) 4^th quadrant (b) 2^nd quadrant (c) 3^rd quadrant (d) 1^st quadrant

Q4. A point lies on x-axis at a distance of 9 units from y-axis. What are its coordinates? What will be its coordinates if it lies on y axis at a distance of -9 units from x-axis?

Solution

Since the point lies on x-axis at a distance of 9 units from y-axis. Its coordinates will be (9, 0). If it lies on y axis at a distance of -9 units from x-axis, its coordinates will be (0, -9)

Q5. Define the following         A) Abscissa         B) Ordinate

Solution

A)Abscissa----- The distance  of   the point from the y-axis is called Abscissa or x coordinate. B)Ordinate-----The distance  of the point  from the x axis is called Ordinate or y coordinate.