Pair of Linear Equations in Two Variables MCQ Questions Class 10 Maths Chapter 3
NCERT MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables. Pair of Linear Equations in Two Variables MCQ Questions with Answers from Class 10 Maths.
Pair of Linear Equations in Two Variables MCQ Questions Class 10 Maths Chapter 3
Pair of Linear Equations in Two Variables Multiple Choice Questions with Answers Class 10 Maths Chapter 3 PDF is available.
1) The equation of the form ax + by + c= 0 where a and b both are not zero is called
a) Quadratic equation in two variables
b) Cubic equation in two variables
c) Linear equation in two variables
d) None
Ans: c) linear equation in two variables
2) What is the solution of the equation 2x + 3y = 5?
a) X= 1, y= 2
b) X= 2, y= 2
c) X= 1, y= 1
d) X= 0, y= 1
Ans: c) X= 1, y= 1
3) Every solution of the equation is the
a) Point near to line
b) Point on the line
c) Both a and b
d) None
Ans: b) point on the line
4) Each point on the line
a) Satisfy Equation of line
b) Not satisfy equation of line
c) Both a and b
d) None
Ans: a) satisfy equation of line
5) The two linear equations in the same two variables X and Y are called
a) Pair of quadratic equations in two variables
b) Pair of cubic equation in two variables
c) Pair of linear equations in two variables
d) None
Ans: c) pair of linear equations in two variables
6) The two lines intersect each other in
a) Two points
b) Three points
c) Infinite points
d) A single point
Ans: d) a single point
7) The two lines are not intersecting that means these lines are
a) Perpendicular to each other
b) Parallel to each other
c) Both a and b
d) None
Ans: b) parallel to each other
8) The two lines may be coincident.
a) True
b) False
c) Both a and b
d) None
Ans: a) true
9) If the lines intersect each other in a single point then their solution is
a) No solution
b) Unique solution
c) Infinitely many solutions
d) None
Ans: b) unique solution
10) If the lines intersect each other in a single point then they are
a) Consistent pair of equations
b) Inconsistent pair of equations
c) Dependent pair of equations
d) None
Ans: a) consistent pair of equations
11) If the lines are parallel then they have
a) Unique solution
b) Infinitely many solutions
c) No solution
d) None
Ans: c) no solution
12) If the lines are parallel then these equations are
a) Consistent pair of equations
b) Inconsistent pair of equations
c) Dependent pair of equations
d) None
Ans: b) inconsistent pair of equations
13) If the lines are coincident then they have
a) Unique solution
b) No solution
c) Infinitely many solutions
d) None
Ans: c) infinitely many solutions
14) If the lines are coincident then these equations of lines are
a) Consistent pair of equations
b) Inconsistent pair of equations
c) Dependent pair of equations
d) None
Ans: c) dependent pair of equations
15) For two intersecting lines a1x + b1y + c1 = 0 and a2x + b2y + c2=0
a) a1/a2 = b1/b2
b) a1/a2 is not equal to b1/b2
c) a1/a2= b1/b2 = c1/c2
d) a1/a2 = b1/b2 but not equal to c1/c2
Ans: b) a1/a2 is not equal to b1/b2
16) For two coincident lines a1x + b1y + c1 = 0 and a2x + b2y + c2=0
a) a1/a2 = b1/b2
b) a1/a2 is not equal to b1/b2
c) a1/a2 = b1/b2 = c1/c2
d) a1/a2 = b1/b2 but not equal to c1/c2
Ans: c) a1/a2 = b1/b2 = c1/c2
17) For two parallel lines a1x + b1y + c1 = 0 and a2x + b2y + c2=0
a) a1/a2 = b1/b2
b) a1/a2 is not equal to b1/b2
c) a1/a2 = b1/b2 = c1/c2
d) a1/a2 = b1/b2 but not equal to c1/c2
Ans: d) a1/a2 = b1/b2 but not equal to c1/c2
18) The standard linear equation in two variable is (where a and b not zero)
a) ax + by + X= 0
b) ax + by + y=0
c) ax +by + c= 0
d) ax + by +XY=0
Ans: c) ax + by + c= 0
19) The linear equation is that equation whose degree is
a) 0
b) 1
c) 2
d) Not defined
Ans: b) 1
20) In this equation 6x -5y -7= 0
a) a= 6, b= -5, c= 7
b) a= 6, b= 5, c= -7
c) a= 6, b= -5, c= -7
d) a= 6, b= 5, c= 7
Ans: c) a= 6, b= -5, c= -7
21) In this equation √5x +7= -7y
a) a= √5, b= -7, c= 7
b) a= √5, b= 7, c= 7
c) a= √5, b= 7, c = -7
d) a= √5, b= -7, c= 0
Ans: b) a=√5, b= 7, c= 7
22) X= -4 can be written in two variable forms as
a) X+0y-4=0
b) X+0y+4=0
c) X-0y+4=0
d) Both b and c
Ans: d) both b and c
23) Y=8 can be written in two variable form as
a) 0x+y-8=0
b) 0x-y-8=0
c) 0x+y+8=0
d) 0x-y=8
Ans: a) 0x+y-8= 0
24) In this equation X+2/3y+2=0, a, b and c are
a) a= 1, b= 2/3, c= 2
b) a= 3, b= 2, c= 6
c) a= 1, b-2/3, c=-2
d) Both a and b
Ans: d) both a and b
25) A linear equation in two variables has ____ solutions.
a) No
b) Infinitely many
c) Unique
d) Both b and c
Ans: b) infinitely many
26) The solution of the equation X +2y= 6 is
a) (2,2)
b) (0,3)
c) (6,0)
d) All
Ans: d) all
27) X+y=2 has
a) Unique solution
b) Infinitely many solutions
c) No solutions
d) Only two solutions
Ans: b) infinitely many solutions
28) The equation X2 + 2x +7= 0 has
a) Unique solution
b) Two solutions
c) No solutions
d) Infinitely many solutions
Ans: b) two solutions
29) (3,1) is the solution of the equation
a) 2x-y= 7
b) 2x+y=7
c) 2x+y=-7
d) 2x -y=-7
Ans: b) 2x + y = 7
30) Which of the following is not the solution of equation X+2y= 4
a) (0,2)
b) (4,0)
c) (-2,3)
d) (1,1)
Ans: d) (1,1)
31) If X=-2 and y= 3 is the solution of equation X+2y=k then k=
a) 8
b) 4
c) -4
d) 2
Ans: b) 4
32) The point which satisfy the equation of a line which means
a) It lies on that line
b) It does not lie on that line
c) Both a and b
d) None
Ans: a) it lies on that line
33) If a point (a,b) lies on the line that means
a) X=a, y=b
b) X=b, y= a
c) X=-a, y=-b
d) X= -b, y= -a
Ans: a) X= a, y= b
34) Any point which does not line on the line which means
a) It satisfies equation of line
b) It does not satisfy equation of line
c) Both a and b
d) None
Ans: b) it does not satisfy equation of line
- In case you have missed:- Previous Chapter MCQ Questions
35) What is the geometrical representation of linear equation in two variables
a) It is square
b) It is a cube
c) It is a curve
d) It is a straight line
Ans: d) it is a straight line
36) Y= mx is the line
a) Which does not pass-through origin
b) Which is parallel to X axis
c) Which is parallel to y axis
d) Which pass through origin
Ans: d) which pass through origin
37) Y= Mx +c in this equation of line m is
a) X intercept
b) Y intercept
c) Slope
d) None
Ans: c) slope
38) In the equation of line y= Mx + c, c represents
a) X intercept
b) Y intercept
c) Slope
d) Abscissa
Ans: b) y intercept
39) Y= Mx +c is the line
a) Passing through origin
b) Not passing through origin
c) Parallel to X axis
d) Parallel to y axis
Ans: b) not passing through origin
40) Y= X is the line whose
a) Slope is 1
b) Slope is zero
c) Slope is infinity
d) Not defined
Ans: a) slope is one
41) The line X= a shows
a) A straight line parallel to X axis
b) A straight line parallel to y axis
c) Equation of X axis
d) Equation of y axis
Ans: b) a straight line parallel to y axis
42) The line y= b shows
a) A straight line parallel to X axis
b) A straight line parallel to y axis
c) Equation of X axis
d) Equation of y axis
Ans: a) a straight line parallel to X axis
43) A linear equation in two variable is the
a) Curve
b) Parabola
c) Ellipse
d) Straight line
Ans: d) straight line
44) The equation of straight line in two variables is
a) Non linear
b) Quadratic
c) Cubic
d) Linear
Ans: d) linear
45) There are infinitely many solutions of
a) Linear equation in two variables
b) Quadratic equation in one variable
c) Cubic equation in single variable
d) None
Ans: a) linear equation in two variables
46) If the equation of line is ax+by+c=0 then its slope is
a) M= -b/a
b) M= b/a
c) M= a/b
d) M= -a/b
Ans: d) m= -a/b
47) The slope of the line 5x-10y+6=0 is
a) M= 2
b) M= -2
c) M= ½
d) M= -1/2
Ans: c) m= ½
48) The slope of the line 2x +6y=0 is
a) M= 1/3
b) M= -1/3
c) M= 3
d) M= -3
Ans: b) m= -1/3
49) If the two lines are perpendicular to each other then their slopes M1 and M2 becomes
a) M1*m2= -1
b) M1-m2= 1
c) M1/m2= 1
d) M1*m2= 1
Ans: a) M1*m2= -1
50) If the two lines are parallel then their slopes are
a) Equal
b) Not equal
c) Negative reciprocal of each other
d) None
Ans: a) equal
51) If the slopes of two lines are negative reciprocal of each other then that lines are
a) Parallel
b) Perpendicular
c) Intersecting
d) Not defined
Ans: b) perpendicular
52) If the slopes of two lines are equals that means these lines are
a) Perpendicular
b) Parallel
c) Intersecting
d) None
Ans: b) parallel
53) If the slope of a line is -2 then the slope of line perpendicular to it is
a) 2
b) ½
c) -1/2
d) -2
Ans: b) ½
54) If the slope of a line is 5 then slope of the line which is parallel to it is
a) 5
b) -5
c) 1/5
d) -1/5
Ans: a) 5
55) The line passing through origin y=Mx shows
a) Positive slope and lies in the second and fourth quadrant
b) Positive slope and lies in the first and third quadrant
c) Positive slope
d) Negative slope
Ans:b) positive slope and lies in the first and third quadrant
56) The line passing through origin y= -mx shows
a) Negative slope and lies in the second and fourth quadrant
b) Negative slope and lies in the first and third quadrant
c) Positive slope
d) Negative slope
Ans: a) negative slope and lies in the second and fourth quadrant
57) The slope of X axis is
a) 0
b) 1
c) Not defined
d) Infinity
Ans: a) 0
58) The slope of y axis is
a) 0
b) 1
c) Not defined
d) Infinity
Ans: c) not defined
59) The slope of the line X+y= 7 is
a) 1
b) -1
c) 0
d) Infinity
Ans: b) -1
60) The slope of the line 2x-y= 0 is
a) -2
b) 2
c) ½
d) -1/2
Ans: b) 2
61) The y intercept of the line X+y= 6 is
a) -6
b) 6
c) 1/6
d) -1/6
Ans: b) 6
62) The slope of the line y= -x +6 is
a) 1
b) -1
c) ½
d) -1/2
Ans: b) -1
63) The slope of the line which lies in first and third quadrant is
a) Positive
b) Negative
c) Both a and b
d) None
Ans: a) positive
64) The slope of the line which lies in the second and fourth quadrant is
a) Positive
b) Negative
c) Both a and b
d) None
Ans: b) negative
65) The slope of the line is also given by,
a) M = tan(a)
b) M= – tan(a)
c) M= sin(a)
d) M= -sin(a)
Ans: a) m= tan(a)
66) The linear equation of line in two variables has degree
a) 1
b) 2
c) 0
d) Not defined
Ans: a) 1
67) The X axis and y axis are making angles with each other as
a) 180°
b) 90°
c) 270°
d) 360°
Ans: b) 90°
68) A pair of linear equations in two variables can be represented and solved by
a) graphical method
b) algebraic method
c) both a and b
d) none
Ans: c) both a and b
69) In algebraic method of solving linear equations the methods involved are
a) substitution method
b) elimination method
c) cross multiplication method
d) all
Ans: d) all
- In case you have missed:- Next Chapter MCQ Questions