The equation x = 7, in two variables, can be written as A. 1. x + 1. y = 7 B. 1. x + 0. y = 7 C. 0. x + 1. y = 7 D. 0. x + 0. y = 7
The correct answer is B. 1. x + 0. y = 7 Solution The Coefficient of y in the given... View Article
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The graph of the linear equation 2x + 3y = 6 cuts the y – axis at the point A. (2, 0) B. (0, 3) C. (3, 0) D. (0, 2)
The correct answer is D. (0, 2)Solution Let 2x + 3y = 6 cut the y-axis at P. T Therefore at P... View Article
Any solution of the linear equation 2x + 0y + 9 = 0 in two variables is of the form A. (-9/2 , m) B. (n, -9/2) C. (0, -9/2) D. ( – 9, 0)
The correct answer is A. (-9/2 , m) Solution Solving the above equation 2x + 0y + 9 = 0 we obtain,... View Article
If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is A. 4 B. 6 C. 5 D. 2
The correct answer is A. 4Solution We know that, (2, 0) = (x, y) Substituting values of x and y... View Article
The equation 2x + 5y = 7 has a unique solution, if x, y are: A. Natural numbers B. Positive real numbers C. Real numbers D. Rational numbers
The correct answer is A. Natural numbersSolution Consider, 2x + 5y = 7 x 1 y 1 A. (1, 1)... View Article
The linear equation 2x – 5y = 7 has A. A unique solution B. Two solutions C. Infinitely many solutions D. No solution
The correct answer is C. Infinitely many solutionsSolution By expressing y in terms of x in the equation 2x – 5y... View Article
Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies in the third quadrant.
Solution Let us plot the graph as per the given details. Then the graph can be represented as follows From... View Article
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 coordinates of the vertex C.
Given Points A (5, 3), B (–2, 3) and D (5, –4) are three vertices of a square ABCD Find... View Article
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... 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... 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), (–... 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... 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... 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,... 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... 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... 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... 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... 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... 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.... View Article
