NCERT Class 9 MCQ Quiz Hub

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

2. The angle of a triangle are in the ratio 5 : 3 : 7, the triangle is
an acute-angled triangle
an obtuse angled triangle
an right angled triangle
an isosceles triangle.

3. If one angle of triangle is equal to the sum of the other two, then the triangle is
an isosceles triangle
an obtuse-angled triangle
an equilateral triangle
a right triangle

4. The number of dimensions, a solid has:
1
2
3
0

5. The total number of propositions in the elements are:
465
460
13
55

6. In Indus valley civilisation (about 3000 BC), the bricks used for construction work were having dimensions in the ratio
1 : 3 : 4
4 : 2 : 1
4 : 4 : 1
4 : 3 : 2

7. The things which are double of same thing are
equal
halves of same thing
unequal
double of the same thing

8. If the point P lies in between M and N and C is mid point of MP, then:
MC + PN = MN
MP + CP – MN
MC + CN = MN
CP + CN = MN

9. ‘Lines are parallel if they do not intersect’ is stated in the form of:
an axiom
a definition
a postulate
a proof

10. Two planes intersect each other to form a:
plane
point
straight line
angle

11. The number of lines that can pass through a given point is
two
none
only one
infinitely many

12. How many lines do pass through two distinct points?
1
2
3
4

13. The number of line segments determined by three collinear points is:
two
three
only one
four

14. Number of dimension(s) a surface has:
0
1
2
3

15. Euclid stated that things which are equal to the same thing are equal to one another in the form of:
an axiom
a definition
a postulate
a proof

16. The things which coincide with one another are:
equal
unequal
half of same thing
triple of one another

17. Given four points such that no three of them are collinear, then the number of lines that can be drawn through them is:
2 lines
4 lines
6 lines
8 lines

18. Two intersecting lines cannot be parallel to the same line, is stated in the form of:
an axiom
a definition
a postulate
a proof

19. Euclid stated that all right angles are equal to each other in the form of:
an axiom
a definition
a postulate
a proof

20. Which of the following needs a proof?
theorem
Axiom
Definition
Postulate

21. Equation of a line which is 5 units distance above the x-axis is
x = 5
x + 5 = y
y – 5
x – y = 0

22. Which of the following is the equation of a line parallel to y-axis?
y = 0
x + y = z
y = x
x = a

23. Any point of the form (a, – a) always lie on the graph of the equation
x = -a
y = a
y = x
x + y = 0

24. The graph of the equation 2x + 3y = 6 cuts the x-axis at the point
(0, 3)
(3, 0)
(2, 0)
(0, 2)

25. Which of the following ordered pairs is a solution of the equation x – 2y – 6?
(2, 4)
(0, 3)
(-4, 1)
(4, -1)

26. How many linear equation in x and y can be satisfied by x = 1 and y = 2?
only one
two
infinitely many
three

27. Cost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation.
x – 2y – 10 = 0
2x – y – 10 = 0
2x + y – 10 = 0
x – 2y + 10 = 0

28. 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
6x + y = 5
x = 6y + 5
x + 6y = 5
x – 6 = 5

29. Equation of a line passing through origin is
x + y = 1
x = 2y – 4
x + y = 0
y = x – 1

30. The condition that the equation ax + by + c = 0 represents a linear equation in two variables is
a ≠ 0, b = 0
b ≠ 0, a = 0
a = 0, b = 0
a ≠ 0, b ≠ 0

31. The maximum number of points that lie on the graph of a linear equation in two variables is.
two
definite
infinitely many
three

32. Straight line passing through the points (-1, 1), (0, 0) and (1, -1) has equation
y – x
x + y = 0
y = 2x
2 + 3y = 7x

33. Abscissa of a point is positive in
I and II quadrants
I and IV quadrants
I quadrants only
II quadrant only.

34. The points (-5, 2) and (2, -5) lie in the
same quadrant
II and III quadrant respectively.
II and IV quadrant respectively.
I and IV quadrant respectively.

35. If (x + 2, 4) = (5, y – 2), then coordinates (x, y) are
(7, 12)
(6, 3)
(3, 6)
(2, 1)

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

37. The coordinates of the point which lies on y-axis at a distance of 4 units in negative direction of y-axis is
(5, 4)
(4, 0)
(0, -4)
(-4, 0)

38. 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
0
2
3
-6

39. Which of the following points lies on the negative side of x axis?
(-4, 0)
(3, 2)
(0, -4)
(5, -7)

40. The point M lies in the IV quadrant. The coordinates of point M are
(a, b)
(-a, b)
((a, -b)
(-a, -b)

41. Write the name of the quadrant in which the point (-3, -5) lies.
First quadrant
Second quadrant
Third quadrant
Fourth quadrant

42. The number of parts the coordinates axes divide the plane is
Two parts
Four parts
Six parts
Eight parts

43. Point (0, 4) lies
in I quadrant
on x-axis
on y-axis
in IV quadrant

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

45. In which quadrant does the point (-1, 2) lies?
First quadrant
Second quadrant
Third quadrant
Fourth quadrant

46. Abscissa of a point is negative in
I and II quadrant
I and IV quadrant
II and III quadrant
IV quadrant only

47. Abscissa of all the points on y-axis is
1
any number
0
-1

48. Which is the example of geometrical line?
Blackboard
Sheet of paper
Meeting place of two walls
Tips of sharp pencil.

49. Find the value of k if x² + kx + 6 = (x + 2) (x + 3) for all k.
1
-1
5
3

50. If x – 2 is a factor of 5x² – kx – 18, then find the value of k.
-1
1
0
5