laboursonline – MCQs, Mock Tests | NCERT Class 9 MCQs for Class 9 MATHS Set-2

In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if

1. BC = EF
2. AC = DE
3. AC = EF
4. BC = DE

✅ Correct Answer: 2

The angle of a triangle are in the ratio 5 : 3 : 7, the triangle is

1. an acute-angled triangle
2. an obtuse angled triangle
3. an right angled triangle
4. an isosceles triangle.

✅ Correct Answer: 1

If one angle of triangle is equal to the sum of the other two, then the triangle is

1. an isosceles triangle
2. an obtuse-angled triangle
3. an equilateral triangle
4. a right triangle

✅ Correct Answer: 4

The number of dimensions, a solid has:

1. 1
2. 2
3. 3
4. 0

✅ Correct Answer: 3

The total number of propositions in the elements are:

1. 465
2. 460
3. 13
4. 55

✅ Correct Answer: 1

In Indus valley civilisation (about 3000 BC), the bricks used for construction work were having dimensions in the ratio

1. 1 : 3 : 4
2. 4 : 2 : 1
3. 4 : 4 : 1
4. 4 : 3 : 2

✅ Correct Answer: 2

The things which are double of same thing are

1. equal
2. halves of same thing
3. unequal
4. double of the same thing

✅ Correct Answer: 1

If the point P lies in between M and N and C is mid point of MP, then:

1. MC + PN = MN
2. MP + CP – MN
3. MC + CN = MN
4. CP + CN = MN

✅ Correct Answer: 3

‘Lines are parallel if they do not intersect’ is stated in the form of:

1. an axiom
2. a definition
3. a postulate
4. a proof

✅ Correct Answer: 2

Two planes intersect each other to form a:

1. plane
2. point
3. straight line
4. angle

✅ Correct Answer: 3

The number of lines that can pass through a given point is

1. two
2. none
3. only one
4. infinitely many

✅ Correct Answer: 4

How many lines do pass through two distinct points?

1. 1
2. 2
3. 3
4. 4

✅ Correct Answer: 1

The number of line segments determined by three collinear points is:

1. two
2. three
3. only one
4. four

✅ Correct Answer: 2

Number of dimension(s) a surface has:

1. 0
2. 1
3. 2
4. 3

✅ Correct Answer: 3

Euclid stated that things which are equal to the same thing are equal to one another in the form of:

1. an axiom
2. a definition
3. a postulate
4. a proof

✅ Correct Answer: 1

The things which coincide with one another are:

1. equal
2. unequal
3. half of same thing
4. triple of one another

✅ Correct Answer: 1

Given four points such that no three of them are collinear, then the number of lines that can be drawn through them is:

1. 2 lines
2. 4 lines
3. 6 lines
4. 8 lines

✅ Correct Answer: 3

Two intersecting lines cannot be parallel to the same line, is stated in the form of:

1. an axiom
2. a definition
3. a postulate
4. a proof

✅ Correct Answer: 3

Euclid stated that all right angles are equal to each other in the form of:

1. an axiom
2. a definition
3. a postulate
4. a proof

✅ Correct Answer: 3

Which of the following needs a proof?

1. theorem
2. Axiom
3. Definition
4. Postulate

✅ Correct Answer: 1

Equation of a line which is 5 units distance above the x-axis is

1. x = 5
2. x + 5 = y
3. y – 5
4. x – y = 0

✅ Correct Answer: 3

Which of the following is the equation of a line parallel to y-axis?

1. y = 0
2. x + y = z
3. y = x
4. x = a

✅ Correct Answer: 4

Any point of the form (a, – a) always lie on the graph of the equation

1. x = -a
2. y = a
3. y = x
4. x + y = 0

✅ Correct Answer: 4

The graph of the equation 2x + 3y = 6 cuts the x-axis at the point

1. (0, 3)
2. (3, 0)
3. (2, 0)
4. (0, 2)

✅ Correct Answer: 2

Which of the following ordered pairs is a solution of the equation x – 2y – 6?

1. (2, 4)
2. (0, 3)
3. (-4, 1)
4. (4, -1)

✅ Correct Answer: 4

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

1. only one
2. two
3. infinitely many
4. three

✅ Correct Answer: 3

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

1. x – 2y – 10 = 0
2. 2x – y – 10 = 0
3. 2x + y – 10 = 0
4. x – 2y + 10 = 0

✅ Correct Answer: 1

If x represents the age of father and y represents the present age of the son, then the statement for ‘present age of father is 5 more than 6 times the age of the son’ in terms of mathematical equation is

1. 6x + y = 5
2. x = 6y + 5
3. x + 6y = 5
4. x – 6 = 5

✅ Correct Answer: 2

Equation of a line passing through origin is

1. x + y = 1
2. x = 2y – 4
3. x + y = 0
4. y = x – 1

✅ Correct Answer: 3

The condition that the equation ax + by + c = 0 represents a linear equation in two variables is

1. a ≠ 0, b = 0
2. b ≠ 0, a = 0
3. a = 0, b = 0
4. a ≠ 0, b ≠ 0

✅ Correct Answer: 4

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

1. two
2. definite
3. infinitely many
4. three

✅ Correct Answer: 3

Straight line passing through the points (-1, 1), (0, 0) and (1, -1) has equation

1. y – x
2. x + y = 0
3. y = 2x
4. 2 + 3y = 7x

✅ Correct Answer: 2

Abscissa of a point is positive in

1. I and II quadrants
2. I and IV quadrants
3. I quadrants only
4. II quadrant only.

✅ Correct Answer: 2

The points (-5, 2) and (2, -5) lie in the

1. same quadrant
2. II and III quadrant respectively.
3. II and IV quadrant respectively.
4. I and IV quadrant respectively.

✅ Correct Answer: 3

If (x + 2, 4) = (5, y – 2), then coordinates (x, y) are

1. (7, 12)
2. (6, 3)
3. (3, 6)
4. (2, 1)

✅ Correct Answer: 3

Mirror image of the point (9, -8) in y-axis is

1. (-9, -8)
2. (9, 8)
3. (-9, 8)
4. (-8, 9)

✅ Correct Answer: 1

The coordinates of the point which lies on y-axis at a distance of 4 units in negative direction of y-axis is

1. (5, 4)
2. (4, 0)
3. (0, -4)
4. (-4, 0)

✅ Correct Answer: 3

If the points A(2, 0), B(-6, 0) and C(3, a – 3) lie on the x-axis, then the value of a is

1. 0
2. 2
3. 3
4. -6

✅ Correct Answer: 3

Which of the following points lies on the negative side of x axis?

1. (-4, 0)
2. (3, 2)
3. (0, -4)
4. (5, -7)

✅ Correct Answer: 1

The point M lies in the IV quadrant. The coordinates of point M are

1. (a, b)
2. (-a, b)
3. ((a, -b)
4. (-a, -b)

✅ Correct Answer: 3

Write the name of the quadrant in which the point (-3, -5) lies.

1. First quadrant
2. Second quadrant
3. Third quadrant
4. Fourth quadrant

✅ Correct Answer: 3

The number of parts the coordinates axes divide the plane is

1. Two parts
2. Four parts
3. Six parts
4. Eight parts

✅ Correct Answer: 2

Point (0, 4) lies

1. in I quadrant
2. on x-axis
3. on y-axis
4. in IV quadrant

✅ Correct Answer: 3

The mirror image of the point (-3, -4) in x-axis is

1. (-4, -3)
2. (3, -4)
3. (3, 4)
4. (-3, 4)

✅ Correct Answer: 4

In which quadrant does the point (-1, 2) lies?

1. First quadrant
2. Second quadrant
3. Third quadrant
4. Fourth quadrant

✅ Correct Answer: 2

Abscissa of a point is negative in

1. I and II quadrant
2. I and IV quadrant
3. II and III quadrant
4. IV quadrant only

✅ Correct Answer: 3

Abscissa of all the points on y-axis is

1. 1
2. any number
3. 0
4. -1

✅ Correct Answer: 3

Which is the example of geometrical line?

1. Blackboard
2. Sheet of paper
3. Meeting place of two walls
4. Tips of sharp pencil.

✅ Correct Answer: 3

Find the value of k if x² + kx + 6 = (x + 2) (x + 3) for all k.

1. 1
2. -1
3. 5
4. 3

✅ Correct Answer: 3

If x – 2 is a factor of 5x² – kx – 18, then find the value of k.

1. -1
2. 1
3. 0
4. 5

✅ Correct Answer: 2