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In FigureLM is a line parallel to the y-axis at a distance of 3 units. (i) What are the coordinates of the points P, R and Q? (ii) What is the difference between the abscissa of the points L and M?

Solution: (i) The coordinates of the points are: P = (3,2) R = (3,0) Q = (3,-1) (ii)The cartesian coordinates are of the form (x, y). The... View Article

Without plotting the points indicate the quadrant in which they will lie, if (i) ordinate is 5 and abscissa is – 3 (ii) abscissa is – 5 and ordinate is – 3 (iii) abscissa is – 5 and ordinate is 3 (iv) ordinate is 5 and abscissa is 3

Solution: The cartesian coordinates are of the form (x, y). The ordered pairs in the two-dimensional plane are referred to as the abscissa and... View Article

Plot the following points and check whether they are collinear or not: (i) (1, 3), (- 1, – 1), (- 2, – 3) (ii) (1, 1), (2, – 3), (- 1, – 2) (iii) (0, 0), (2, 2), (5, 5)

(i) (1, 3), (– 1, – 1), (– 2, – 3) The points (1, 3), (– 1, – 1), (– 2, – 3) lie in a straight... View Article

Plot the points (x, y) given by the following table:

X 2 4 -3 -2 3 0 y 4 2 0 5 -3 0 Solution The given points when pointing on the cartesian plan is shown below... View Article

Plot the following points and write the name of the figure obtained by joining them in order: P(- 3, 2), Q (- 7, – 3), R (6, – 3), S (2, 2)

Solution: The figure obtained on joining the points P(– 3, 2), Q (– 7, – 3), R (6, – 3), S (2, 2) in the order is a... View Article

Write the coordinates of each of the points P, Q, R, S, T and O from the Figure

Solution: The coordinates of the points P, Q, R, S, T and O are as listed below P = (1, 1) Q = (-3, 0) R = (-2, -3) S = (2, 1) T = (4, -2) O = (0, 0)... View Article

Write whether the following statements are True or False? Justify your answer. (i) Point (3, 0) lies in the first quadrant. (ii) Points (1, -1) and (-1, 1) lie in the same quadrant. (iii) The coordinates of a point whose ordinate is – 1/2 and abscissa is 1 are – 1/2 , 1. (iv) A point lies on y-axis at a distance of 2 units from the x-axis. Its coordinates are (2, 0). (v) (-1, 7) is a point in the II quadrant.

Solution (i) Point (3, 0) lies in the first quadrant. The given statement is False Explanation: The points having x-coordinate as ‘0′... View Article

If the perpendicular distance of a point P from the x-axis is 5 units and the foot of the perpendicular lies on the negative direction of x-axis, then the point P has A. x – coordinate = – 5 B. y – coordinate = 5 only C. y – coordinate = – 5 only D. y – coordinate = 5 or -5

The correct answer is D. y – coordinate = 5 or –5 Solution The location of any point on a plane is expressed by a pair of... View Article

The points (-5, 2) and (2, – 5) lie in the A. same quadrant B. II and III quadrants, respectively C. II and IV quadrants, respectively D. IV and II quadrants, respectively

The correct answer is C. II and IV quadrants, respectively Solution The location of any point on a plane is expressed by a pair of values... View Article

If y coordinate of a point is zero, then this point always lies A. in I quadrant B. in II quadrant C. on x – axis D. on y – axis

The correct answer is C. on the x-axis Solution If the y-coordinate of a point, i.e., the ordinate is zero, then this point always lies on... View Article

Points (1, – 1), (2, – 2), (4, – 5), (- 3, – 4) A. lie in II quadrant B. lie in III quadrant C. lie in IV quadrant D. do not lie in the same quadrant

The correct answer is D. do not lie in the same quadrant Solution Signs of coordinates of points in different quadrants: I... View Article

A point both of whose coordinates are negative will lie in A. I quadrant B. II quadrant C. III quadrant D. IV quadrant

The correct answer is C. III quadrant Solution 3rd Quadrant: The lower left-hand corner of the graph is the third quadrant. It contains... View Article

The point at which the two coordinate axes meet is called the A. abscissa B. ordinate C. origin D. quadrant

The correct answer is C. origin Solution Origin: The coordinate axes intersect each other at right angles, The point of intersection of these... View Article

Ordinate of all points on the x-axis is A. 0 B. 1 C. – 1 D. any number

The correct answer is A. 0 Solution The abscissa and ordinate are used to represent the position of a point on a graph. The coordinates of the... View Article

Abscissa of all the points on the x-axis is (A) 0 (B) 1 (C) 2 (D) any number

Answer: (D) any number The abscissa of all the points on the x-axis can be any number. The abscissa and ordinate are used to represent the... View Article

Point (- 10, 0) lies A. on the negative direction of the x-axis B. on the negative direction of the y-axis C. in the third quadrant D. in the fourth quadrant

The correct answer is A. on the negative direction of the x-axis Solution The abscissa and ordinate are used to represent the position of a... View Article

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