4

Q1. The number of line(s) passing through a point (3,4) is (are):

Only one

Two

Infinite

Three

Q2. The graph of the equation of the form y=mx is a line which always passes through:

(0, m)

(x, 0)

(0, y)

(0, 0)

Q3. Which of these points does not lie on the graph of y = -x + 3?

9,-6

3,0

-2,5

2,2

Q4. If the point (2, -1) lies on the graph of the equation 3x + ky = 4, then the value of k is

1

-1

2

-2

Q5. Two solutions of this equation 2x + y = 1 are

(0, 1) and (1, 0)

(0, 1) and (1/2, 0)

(2, 0) and (1, 2)

(2, 3) and (4, 5)

Q6. Point P(2,-3) lies on the line represented by the equation:

x + 2y = 0

2x + 2y = 0

x + y = 1

2x + y = 1

Q7. In an equation of line y = 0, if y co-ordinate is zero, then the value of x co-ordinate is:

1

0

Infinite

Finite

Q8. The sum of two numbers is 64. The equivalent linear equation in two variables of above statement is:

x + y = 64

-x = 64 + y

x + 64 = y

x - 64 = y

Q9. The positive solution of equation ax + by + c = 0 always lie in the:

I^st quadrant

2^nd quadrant

3^rd quadrant

4^TH quadrant

Q10. The speed x of train A is twice the speed y of the train B. Express this in the form of a linear equation.

   x = y/2

   x = 2y

   x = y + 2

       x = y - 2

Q11. (0, -3) and (4, 0) are solutions of the linear equation:

3x + 4y = 12

4x - 3y = 12

4x + 3y = 12

3x - 4y = 12

Q12. Find the value of a and b if y = 1 and x = 2 is the solution of linear equation ax + by =3 and 3a – 2b = 1.

a = 1, b = 1

a = 1, b = 2

a = 2, b = 3

a = 4, b = 1

Q13. Which  of the following statement is  true for the linear equation y = 2x + 7

There is no solution

Only two solution is possible

A Unique

There are infinitely many solutions.

Q14. For an equation ax + by + c = 0 to be a linear equation,which one of the following conditions should be satisfied?

   c should be non zero

   a and c shouldn’t be zero at the same time

   b and c shouldn’tbe zero at the same time

   a and b shouldn’tbezero at the same time

Q15. --------------------- is the equation of x-axis.

y = 0

x = 0

x = 1

Either B Or C

Q16. Which of these points does not lie on the graph of y = -x + 3?

9,-6

3,0

-2,5

2,2

Q17. 14 If -0.25x + 1.3 = -0.55x - 0.2 , then x

-5

-2

5

2

Q18. The point of the form (a, a) always lies on

x - axis

y - axis

line y = x

line x + y = 0

Q19. The value of m, if a = 3 and b = 1 is the solution of equation 2a + 3b = m is:

8

7

10

9

Q20. The line which can intersect x + y = 1 in  (-3, 4) is

   x + y = -1

   y - x = 7

   2x + y = 0

   x - 3y = 0

Q21. An equation of the type ------------- represents a line passing through the origin.

y = m + x

y = m + x + 1

y = mx

x = m - y

Q22. The value of k if x = 2, y = 1 is a solution of equation 2x - k = - 3y is:

7

6

-7

5

Q23. A line has equation x + y = 0 So the line must

Be parallel to y - axis

Be parallel to y - axis

Pass through the origin

Must pass through (1, 1)

Q24. The linear equation 5x - y = 2x - 1 has

2 solutions

a unique solution

no solution

Infinitely many solutions

Q25. Which of the following points lies on the line 3x + 2y = 6?

   (1, 2)

   (2, 3)

   (3, 0)

   (0, 3)

Q26. Any point on the x-axis is of the form:

(0, y)

(x, 0)

(x, x)

(x, y)

Q27. The value of k, if a = 3 and b = 1 is the solution of equation 2a + 3b = k is

8

7

10

9

Q28. The number of lines passing through (3, 5) are:

0

1

2

Infinite

Q29. A linear equation in two variables has how many solutions?

One

Two

Infinite

Not possible

Q30. If a linear equation has solutions (-2,2), (0,0) (2,-2) then it is of the form:

y - x = 0

x + y = 0

-2x + y = 0

-x + 2y = 0

Q31. Which of the following is a solution of the equation 4x + 3y = 16?

(2, 3)

(1, 4)

(2, 4)

(1, 3)

Q32. The graph of every linear equation in two variables is --------------.

Straight line.

Parabola

Hyperbola

Curve

Q33. The graph of --------------- is a straight line parallel to y axis.

x + a = y

x = a

x = ay

x - a = y

Q34. The number of girls x in a class is 5 less than twice the number of boys y of the same class. The linear equation in two variables for this information is

 x + 5 = 2y

   x + 2y = -5

   2y - x = -5

 2x - y = 5

Q35. All the linear equations in two variables have -------------- .

One solution

Two solution

Infinitely many solutions

Three solutions

Q36. The Equation y = - 5, in two variables  can be written  in the form of ax + by + c = 0 as

1.x + 0.y -5 = 0

0.x + 1.y -5 = 0

0.x + 1.y + 5 = 0

1.x + 0.y + 5 = 0

Q37. ------------------- is the equation of y-axis.

y = 0

x = 0

y = 1

y = -1

Q38. For a line y = mx to pass through the origin, what are the possible values of m?

Any real value

Only positive real values

Only negative real values

Only rational numbers

Q39. Which of the following is a linear equation in one variable?

2x +3y = 0

x² = 5x + 3

5x = y² + 3

x + 5 = 6

Q40. 2x + 4 = 3x + 1 will graphically represents as

Line parallel to Y-axis at distance 3 units left side

Line parallel to Y-axis at distance 3 units right side

Line parallel to X-axis at distance 3 units downwards

Line parallel to X-axis at distance 3 units upwards

Solution

Line parallel to Y-axis at distance 3 units on right side Since, 2x + 4 = 3x + 1And x = 3 represents a line parallel to Y-axis at distance 3 units towards positive direction (i.e. right side).