CBSE Class 9 Linear Equations In Two Variables MCQ By Clarify Knowledge
CBSE Class 9 Linear Equations In Two Variables MCQ New Pattern 2022
OUR EBOOKS CAN HELP YOU CLASS 10 BOARD
CODE IS EASY CAN HELP YOU IN SEMESTER 2
CBSE Class 9 Linear Equations In Two Variables MCQ Table
1) The linear equation 3x-11y=10 has:
a. Unique solution
b. Two solutions
c. Infinitely many solutions
d. No solutions
Answer: c
Explanation: 3x-11y=10
y=(3x-10)/11
Now for infinite values of x, y will also have infinite solutions.
2) 3x+10 = 0 will have:
a. Unique solution
b. Two solutions
c. Infinitely many solutions
d. No solutions
Answer: a
Explanation: 3x+10 = 0
x = -10/3.
Hence, only one solution is possible.
3) The solution of equation x-2y = 4 is:
a. (0,2)
b. (2,0)
c. (4,0)
d. (1,1)
Answer: c
Explanation: Putting x=4 and y = 0, on the L.H.S. of the given equation, we get;
4-2(0) = 4 – 0 = 4
Which is equal to R.H.S.
4) Find the value of k, if x = 1, y = 2 is a solution of the equation 2x + 3y = k.
a. 5
b. 6
c. 7
d. 8
Answer: d
Explanation: 2x + 3y = k
k=2(1)+3(2) = 2+6 = 8
5) Point (3, 4) lies on the graph of the equation 3y = kx + 7. The value of k is:
a. 4/3
b. 5/3
c. 3
d. 7/3
Answer: b
Explanation: 3y = kx + 7
Here, x = 3 and y = 4
Hence,
(3×4) = (kx3) + 7
12 = 3k+7
3k = 12–7
3k = 5
k = 5/3
6) The graph of linear equation x+2y = 2, cuts the y-axis at:
a. (2,0)
b. (0,2)
c. (0,1)
d. (1,1)
Answer: c
Explanation: x+2y = 2
y = (2-x)/2
If x=0, then;
y=(2-0)/2 = 2/2 = 1
Hence, x+2y=2 cuts the y-axis at (0,1).
7) Any point on line x = y is of the form:
a. (k, -k)
b. (0, k)
c. (k, 0)
d. (k, k)
Answer: d
8) The graph of x = 3 is a line:
a. Parallel to the x-axis at a distance of 3 units from the origin
b. Parallel to the y-axis at a distance of 3 units from the origin
c. Makes an intercept 3 on the x-axis
d. Makes an intercept 3 on the y-axis
Answer: b
9) In equation, y = mx+c, m is:
a. Intercept
b. Slope
c. Solution of the equation
d. None of the above
Answer: b
10) If x and y are both positive solutions of equation ax+by+c=0, always lie in the:
a. First quadrant
b. Second quadrant
c. Third quadrant
d. Fourth quadrant
Answer: a
11) A linear equation in two variables is of the form ax + by + c = 0, where
(a) a = 0, c = 0
(b) a ≠ 0, b = 0
(c) a = 0, b ≠ 0
(d) a ≠ 0, b ≠ 0
Answer: d
Explanation: A linear equation in two variables is of the form ax + by + c = 0, where a ≠ 0, b ≠ 0. If the values of “a” and “b” are equal to 0, the equation becomes c =0. Hence, the values of a and b should not be equal to 0.
12) Any point on the x-axis is of the form
(a) (x, y)
(b) (0, y)
(c) (x, 0)
(d) (x, x)
Answer: c
Explanation: Any point on the x-axis is of the form (x, 0). On the x-axis, x can take any values, whereas y should be equal to 0.
13) Any point on the y-axis is of the form
(a) (y, y)
(b) (0, y)
(c) (x, y)
(d) (x, 0)
Answer: b
Explanation: Any point on the y-axis is of the form (0, y). On the y-axis, y can take any values and x should be equal to 0.
14) The linear equation 2x – 5y = 7 has
(a) No solution
(b) unique solution
(c) Two solutions
(d) Infinitely many solutions
Answer: d
Explanation: The linear equation 2x-5y has infinitely many solutions. Because, the equation 2x-5y = 7 is a single equation, that involves two variables. Hence, for different values of x, we will get different values of y and vice-versa.
15) The linear equation 3x – y = x – 1 has
(a) No solution
(b) unique solution
(c) Two solutions
(d) Infinitely many solutions
Answer: d
Explanation: The linear equation 3x – y = x – 1 has infinitely many solutions.
On simplification, the given equation becomes 2x-y= -1, which is a single equation with two variables. Thus, 3x – y = x – 1 has infinitely many solutions.