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# 9th Class - Math | Chapter: Linear Equations in Two Variables MCQs

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## Q1) The linear equation 3x-11y=10 has

(A) Unique solution
(B) Two solutions
(C) Infinitely many solutions
(D) No solutions

## Q2) 3x+10 = 0 will has

(A) Unique solution
(B) Two solutions
(C) Infinitely many solutions
(D) No solutions

(A) (0,2)
(B) (2,0)
(C) (4,0)
(D) (1,1)

(A) 5
(B) 6
(C) 7
(D) 8

(A) 4/3
(B) 5/3
(C) 3
(D) 7/3

(A) (2,0)
(B) (0,2)
(C) (0,1)
(D) (1,1)

(A) (k, -k)
(B) (0, k)
(C) (k, 0)
(D) (k, k)

## Q8) The graph of x = 3 is a line

(A) Parallel to x-axis at a distance of 3 units from the origin
(B) Parallel to y-axis at a distance of 3 units from the origin
(C) Makes an intercept 3 on x-axis
(D) Makes an intercept 3 on y-axis

## Q9) In equation, y = mx+c, m is

(A) Intercept
(B) Slope of the line
(C) Solution of the equation
(D) None of the above

(A) 5/2
(B) 2/5
(C) 10
(D) 0

(A) x = 5
(B) x + 5 = y
(C) y – 5
(D) x – y = 0

(A) 0
(B) 1/2
(C) 2
(D) 3

(A) y = 0
(B) x + y = z
(C) y = x
(D) x = a

(A) (a, 3a)
(B) (3a, a)
(C) (a, a/3)
(D) (a/3, -a)

## Q16) To which equation does the graph represent?

(A) 3x – 7y = 10
(B) y – 2x = 3
(C) 8y – 6x = 4
(D) 5x + (35/2)y = 25

(A) x = -a
(B) y = a
(C) y = x
(D) x + y = 0

(A) (0, 3)
(B) (3, 0)
(C) (2, 0)
(D) (0, 2)

## Q19) Graph of linear equation ax + by + c = 0, a * 0, 6*0 cuts x-axis and y-axis respectively at the points.

(A) ($$\frac{-c}{a}$$, 0), (0, $$\frac{-c}{b}$$)
(B) (0, $$\frac{-c}{b}$$, 0), ($$\frac{-c}{a}$$, 0)
(C) (-c, 0) (0, -c)
(D) (x, 0) (y, 0)

(A) (2, 4)
(B) (0, 3)
(C) (-4, 1)
(D) (4, -1)

## Q21) How many linear equation in x and y can be satisfied by x = 1 and y = 2?

(A) only one
(B) two
(C) infinitely many
(D) three

(A) (9/2, m)
(B) (n, −9/2)
(C) (0, −9/2)
(D) (−9/2, 0)

(A) 2
(B) 4
(C) 3
(D) 1/2

## Q24) Cost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation.

(A) x – 2y – 10 = 0
(B) 2x – y – 10 = 0
(C) 2x + y – 10 = 0
(D) x – 2y + 10 = 0

(A) 6x + y = 5
(B) x = 6y + 5
(C) x + 6y = 5
(D) x – 6 = 5

(A) x + y = 1
(B) x = 2y – 4
(C) x + y = 0
(D) y = x – 1

(A) a ≠ 0, b = 0
(B) b ≠ 0, a = 0
(C) a = 0, b = 0
(D) a ≠ 0, b ≠ 0

## Q28) The maximum number of points that lie on the graph of a linear equation in two variables is.

(A) two
(B) definite
(C) infinitely many
(D) three

(A) y – x
(B) x + y = 0
(C) y = 2x
(D) 2 + 3y = 7x

## Q30) The linear equation 4x – 10y = 14 has

(A) A unique solution
(B) Two solutions
(C) Infinitely many solutions
(D) No solutions

(A) 0
(B) 1
(C) 2
(D) Infinite

(A) 4
(B) 6
(C) 5
(D) 2

(A) (2, 0)
(B) (0, 3)
(C) (3, 0)
(D) (0, 2)

## Q34) The equation y = 5, in two variables, can be written as

(A) 1 .x + 1 .y = 5
(B) 0 .x + 0 .y = 5
(C) 1 .x + 0 .y = 5
(D) 0 .x + 1 .y = 5

(A) (a, –a)
(B) (0, a)
(C) (a, 0)
(D) (a, a)

## Q36) The graph of x = 5 is a line

(A) Parallel to x-axis at a distance 5 units from the origin
(B) Parallel to y-axis at a distance 5 units from the origin
(C) Making an intercept 5 on the x-axis
(D) Making an intercept 5 on the y-axis

(A) 2x + y = 17
(B) x + y = 17
(C) x + 2y = 17
(D) 3x – 2y = 17

(A) (0, y)
(B) (x, 0)
(C) (x, x)
(D) (x, y)

(A) y – x = 0
(B) x + y = 0
(C) –2x + y = 0
(D) –x + 2y = 0

(A) (0, 3)
(B) (3, 0)
(C) (2, 0)
(D) (0, 2)

(A) x = a
(B) y = –a
(C) y = x
(D) x + y = 0

## Q43) The graph of x = 9 is a straight line

(A) Intersecting both the axes
(B) parallel to y-axis
(C) parallel to x-axis
(D) Passing through the origin

(A) x = 6
(B) x = –6
(C) y = 6
(D) y = –6