Explore topic-wise MCQs in Maths.

This section includes 41 Mcqs, each offering curated multiple-choice questions to sharpen your Maths knowledge and support exam preparation. Choose a topic below to get started.

1.

The graphs of the equations 3x + y-5=0 and 2x- y -5=0 intersect at the point P( , ). What is the value of (3 + )?
A. 3
B. 5
C. -4
D. 4
Answer» C. -4
Discussion
2.

For what value of 'm ' the points A ( m + 1 , 1 ) , B ( 2m + 1,3 ) and C ( 2m + 2 , 2m ) are collinear .

A. 2
B. 1
C. 3
D. -2
Answer» B. 1
Discussion
3.

If a line has one end (4,0) and the middle point (4,1), what will be the directions at the other end of the line?
A. 2, 4
B. 4, 2
C. 1, 3
D. 2, 3
Answer» C. 1, 3
Discussion
4.

Find the coordinates of the midpoint of the line joining the points (10,12) and (0,8).
A. (5, 10)
B. (12, 6)
C. (4,5)
D. (3,5)
Answer» B. (12, 6)
Discussion
5.

Find the distance between the point (-6, 7) and the point (-1, -5).
A. 12
B. 13
C. 10
D. 3
Answer» C. 10
Discussion
6.

Find the coordinates of the point which divides the line segment joining (3,5) (7,9) in the ratio 2: 3.
A. $$ {23 over 5}, {33 over5}$$
B. $$ {10 over 3}, {14 over3}$$
C. $$ {23 over 3}, {33 over5}$$
D. $$ {23 over 7}, {33 over7}$$
Answer» B. $$ {10 over 3}, {14 over3}$$
Discussion
7.

What is the equation of a line having slope -1/3 and y-intercept equal to 6?

A. x - 3y = 6
B. x + 3 y = -18
C. x + 3 y = 18
D. x - 3y = -6
Answer» D. x - 3y = -6
Discussion
8.

The slope of the line joining point P(-4, 7) and Q( 2, 3) is:
A. $$ -{2 over 3}$$
B. $$ {2 over 3}$$
C. $$ -{3 over 2}$$
D. $$ {3 over 2}$$
Answer» B. $$ {2 over 3}$$
Discussion
9.

The graph of the equation 4x - 5y = 20 intersects the X-axis at the point.
A. (2, 0)
B. (4, 5)
C. (5, 0)
D. (0, 5)
Answer» D. (0, 5)
Discussion
10.

Find k, if the line 2x - 3y = 11 is perpendicular to the line 3x + ky = -4?

A. -1
B. 2
C. -2
D. 1
Answer» C. -2
Discussion
11.

What is the equation of line whose slope is -1/2 and passes through the intersection of the lines x-y = -1 and 3x-2y = 0?
A. x + 2y = -8
B. 3x + y = -7
C. x + 2y = 8
D. 3x + y = 7
Answer» D. 3x + y = 7
Discussion
12.

The point P(a, b) is first reflected in origin to P1 and P1 is reflected in Y-axis to (4, -3). What are the coordinates of point P?

A. ( -4 , 3 )
B. ( 3 , 4 )
C. ( 4 , 3 )
D. ( -3 , 4 )
Answer» D. ( -3 , 4 )
Discussion
13.

The point Q(a, b ) is first reflected in y-axis to Q1 and Q1 is reflected in x-axis to (-5,3 ). The co-ordinates of point Q are

A. (-5 , -3)
B. ( - 5, 3 )
C. ( 5 , -3 )
D. ( 5, 3 )
Answer» D. ( 5, 3 )
Discussion
14.

Point P is the midpoint of segment AB. Co-ordinates of point Pare (2,1) and point B are (11,5) Co-ordinates of point A are

A. ( 6.5, 3 )
B. ( 7, 3 )
C. ( -7, -3)
D. ( -6.5 , -3 )
Answer» D. ( -6.5 , -3 )
Discussion
15.

What is the equation of the line whose y-intercept is -3/4 and making an angle of 45 with the positive x-axis?

A. 4x - 4y = -3
B. 3x - 3y = 4
C. 4x - 4y = 3
D. 3x - 3y = -4
Answer» D. 3x - 3y = -4
Discussion
16.

In what ratio does the point T (x, 0) divide the segment joining the points S ( -4, -1 ) and U ( 1,4 )?

A. 1 : 2
B. 2 : 1
C. 1 : 4
D. 4 : 1
Answer» D. 4 : 1
Discussion
17.

If ax - 4y = -6 has a slope of -3 / 2. What is the value of a?

A. 3
B. -6
C. 6
D. -3
Answer» D. -3
Discussion
18.

The distance between the points (4, 8) and (k, -4) is 13. What is the value of k?

A. -1
B. -3
C. 1
D. 3
Answer» B. -3
Discussion
19.

What is the reflection of the point (-3, 1) in the line x = -2?

A. (1, 1)
B. (-3 , 5)
C. (-1, 1)
D. ( -3 , -5)
Answer» D. ( -3 , -5)
Discussion
20.

A line passing through the origin perpendicularly cuts the line 3x 2y = 6 at point M. Find the co-ordinates of M.

A. $$ left({-18 over13},{-12 over13} right)$$
B. $$ left({-18 over13},{12 over13} right)$$
C. $$ left({18 over13},{12 over13} right)$$
D. $$ left({18 over13},{-12 over13} right)$$
Answer» E.
Discussion
21.

What is the slope of the line perpendicular to the line passing through the points (-5, 1) and (-2, 0)?

A. 3
B. -1/3
C. -3
D. 1/3
Answer» B. -1/3
Discussion
22.

If (2, 0) is a solution of the linear equation 2x + 3y = 5, then the value of k is:

A. 2
B. 4
C. 6
D. 5
Answer» C. 6
Discussion
23.

Point A (2, 1) divides segment BC in the ratio 2 : 3. Co-ordinates of B are (1, -3 ) and C are (4 , y). What is the value of y ?

A. -8
B. 7
C. 8
D. -7
Answer» C. 8
Discussion
24.

The length of the portion of the straight line 3x + 4y = 12 intercepted between the axes is :

A. 4
B. 7
C. 5
D. 3
Answer» D. 3
Discussion
25.

The graph of 3x + 4y - 24 = 0 forms a triangle OAB with the coordinate axes, where O is the origin. Also, the graph of x + y + 4 = 0 forms a triangle OCD with the coordinate axes. Then the area of OCD is equal to:

A. $${2 over3}$$ of area of OAB
B. $${2 over5}$$ of area of OAB
C. $${1 over2}$$ of area of OAB
D. $${1 over3}$$ of area of OAB
Answer» E.
Discussion
26.

For what value of k, the system of equations kx + 2y = 2 and 3x + y = 1 will be coincident?

A. 5
B. 6
C. 2
D. 3
Answer» C. 2
Discussion
27.

Find the area of quadrilateral formed by joining points (4,2), (8,2), (8,14) and (4,10).

A. 25 Sq. units
B. 40 Sq. units
C. 5 Sq. units
D. 10 Sq. units
Answer» C. 5 Sq. units
Discussion
28.

Area of the triangle formed by the graph of the straight lines x - y = 0, x + y = 2 and the x-axis is:

A. 2 sq units
B. 4 sq units
C. 1 sq unit
D. None of these
Answer» D. None of these
Discussion
29.

The graphs of x = a and y = b intersect at

A. (-a, b)
B. (b, a)
C. ( a, b )
D. (a, -b)
Answer» D. (a, -b)
Discussion
30.

The linear equation such that each point on its graph has an ordinate four times its abscissa is:

A. x = 4y
B. x + 4y = 0
C. y + 4x = 0
D. y = 4x
Answer» E.
Discussion
31.

If (2x)(2y) = 8 and (9x)(3y) = 81 , then ( x , y ) is :

A. ( 1, 1 )
B. ( 2, 2 )
C. ( 1, 2 )
D. ( 2, 1 )
Answer» D. ( 2, 1 )
Discussion
32.

If a linear equation is of the form x = k, where k is a constant, then graph of the equation will be

A. a line making positive acute angle with x - axis
B. a line parallel to y - axis
C. a line parallel to x - axis
D. a line cutting both the axes
Answer» C. a line parallel to x - axis
Discussion
33.

The graph of the equations 25x + 75y = 225 and x = 9 meet the point:

A. ( 3, 0 )
B. (0, 3)
C. (0, 9)
D. (9, 0)
Answer» E.
Discussion
34.

The area bounded by the lines x = 0, y = 0, x + y = 1, 2x + 3y = 6 (in square units) is

A. $$2{1 over2}$$
B. 3
C. 2
D. $$2{1 over3}$$
Answer» B. 3
Discussion
35.

Find co-ordinates of the midpoint of the segment joining points C (3, -5) and D ( -7,3)

A. (-5, 4)
B. (2,1)
C. (-2, -1)
D. (5, -4)
Answer» D. (5, -4)
Discussion
36.

Reflection of the point (-1, 4) in the x-axis is:

A. (-1, 4)
B. (-1, -4)
C. (1, 4)
D. (1, -4)
Answer» C. (1, 4)
Discussion
37.

The slopes of two lines are 1 and 3. What is the angle between these two lines?

A. $$45^0$$
B. $$60^0$$
C. $$15^0$$
D. $$30^0$$
Answer» D. $$30^0$$
Discussion
38.

Which of the following points lies on the line 5x + 4y = 2?

A. (-2,3)
B. (2,-3)
C. ( 2,3 )
D. (-2,-3)
Answer» B. (2,-3)
Discussion
39.

The line passing through the point (-2,5) and (6,b) is perpendicular to the line 20x + 5y = 3. Find b?
A. 7
B. 4
C. -7
D. -4
Answer» B. 4
Discussion
40.

Find the equation of the line that passing through the point (7, -5 ) and is perpendicular to the line (4x+5y=1).
A. 4x-5y=33
B. 5x+4y=15
C. 5x-4y=55
D. 4x+5y=33
Answer» D. 4x+5y=33
Discussion
41.

What will be the area of th trapezium formed by x - axis , y - axis , and lines 3x + 12 , 6x + 8y = 60 ?

A. 37.5 sq . units
B. 31.5 sq . units
C. 48 sq . units
D. 36.5 sq . units
Answer» C. 48 sq . units
Discussion