Chapter 4 Introduction To Analytic Geometry Math 12th Class Punjab MCQ Tests
12th Class Math Chapter 4 MCQ Tests
Chapter 4 of 12th Class Math has 30 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 30
Total Marks: 30
Time: 30 Mins
Total Questions: 30
Total Marks: 30
Time: 30 Mins
30Min : 00 Sec Remaining
Question # 1
Find the point of intersection of each pair of straight lines, 2 x − 3 y = 6 and 3 x + 6 y = 16.
Question # 2
Find the equations of lines represented by 2 x2 + 3 x y − 5 y2 .
Question # 3
let P be the point ( − 3 , 2 ) and let us consider the following eight points: A ( 3 , − 2 ) , B ( 3 , 2 ) , C ( − 3 , 7 ) , D ( 2 , 2 ) , E ( − 3 , − 2 ) , F ( − 8 , 2 ) , G ( − 3 , − 3 ). Which of the points above is obtained from the point P by the vertical translation 5 units upward?
Question # 4
Find the point of concurrency of: x − y = 6 , 4 y + 22 = 3 x and 6 x + 5 y + 8 = 0.
Question # 5
Each fork in a store costs $ 5 and each knife costs $ 4 . If you want to spend exactly $ 36 , write an equation in standard form modeling this situation. Let f represents the number of forks you buy and k represents the number of knives you buy.
Question # 6
let P be the point ( − 3 , 2 ) and let us consider the following eight points: A ( 3 , − 2 ) , B ( 3 , 2 ) , C ( − 3 , 7 ) , D ( 2 , 2 ) , E ( − 3 , − 2 ) , F ( − 8 , 2 ) , G ( − 3 , − 3 ). Which of the points above is obtained from the point P by the vertical translation 5 units downward?
Question # 7
Solve: y = 2 x − 11 ; − 3 y = − 6 x − 15.
Question # 8
The inclination of x-axis and every line parallel to x-axis is _____.
Question # 9
Let P ( 8 , 3 ) and O ′ ( 2 , − 5 ) be two points in the X Y -coordinates system. Find the X Y -coordinates of p referring to the translated axes O ′ X and O ′ Y.
Question # 10
Find the distance between the points ( − 2 , − 3 ) and ( − 4 , 4 ).
Question # 11
Which of the equations describes the function obtained from y = 8 x3 + 5 by the horizontal translation 5 units to the right?
Question # 12
Which of the equations above describes the function obtained from y = 8 x3 + 5 by the vertical translation 5 units upward?
Question # 13
If A ( − 2 , 1 ) , B ( 2 , 3 ) and C ( − 2 , − 4 ) are three points, fine the angle between the straight lines A B and B C .
Question # 14
Find the acute angle between the lines 7 x − 4 y = 0 and 3 x − 11 y + 5 = 0.
Question # 15
The two lines: x + y = 3 and 2 x + 2 y = 6 are _____.
Question # 16
Evaluate the determinant of the matrix A = ?
Question # 17
If a system of equations has no solution, what does the graph look like?
Question # 18
Find the ratio in which the line segment P Q , where P ( − 5 , 2 ) and Q ( 2 , 3 ) , is divided by y -axis.
Question # 19
Find the coordinates of the point which divides the join of P ( − 1 , 7 ) and Q ( 4 , − 3 ) in the ratio 2 : 3.
Question # 20
Check whether the points ( 3 , 4 ) and ( − 5 , 6 ) lie on the same side of the straight line 5 x − 2 y = 9 or not.
Question # 21
See the diagram and find the length of line segment AD.
Question # 22
Test whether the given function f ( x , y ) = x c o s ( y / x ) is homogeneous or not.
Question # 23
A farmer has 200 acres of land suitable for cultivating crops A , B and C . The cost per acre of cultivating crops A , B and C is $ 40 , $ 60 and $ 80 , respectively. The farmer has $ 12 , 600 available for cultivation. Each acre of crop A requires 20 labor-hours, each acre of crop B requires 25 labor-hours and each acre of crop C requires 40 labor hours. The farmer has a maximum of 5950 labor-hours available. If she wishes to use all of her cultivatable land, the entire budget, and all the labor available, how many acres of each crop should she plant? Formulate but do not solve the problem.
Question # 24
let P be the point ( − 3 , 2 ) and let us consider the following eight points: A ( 3 , − 2 ) , B ( 3 , 2 ) , C ( − 3 , 7 ) , D ( 2 , 2 ) , E ( − 3 , − 2 ) , F ( − 8 , 2 ) , G ( − 3 , − 3 ). Which of the points above is obtained from the point P by the horizontal translation 5 units to the right?
Question # 25
The star is made up of equilateral triangles as shown in given picture. What is the order of rotational symmetry of the star?
Question # 26
Find the angle between the two lines: y = 2 x + 3 ; y = − 3 x + 5.
Question # 27
See the picture and find the equation of the straight line passing through A and B?
Question # 28
Is line segment A N is an altitude of triangle A B C ? (See the picture)
Question # 29
What is perpendicular bisector of the line segment between ( 2 , 7 ) and ( 6 , 5 )?
Question # 30
Determine whether the system of linear equations 2 x − 3 y = 12 ; x + 2 y = 6 has a unique solution, infinitely many solutions or no solution. Find all solutions whenever they exist.
Total Questions
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Question # 1
Find the point of intersection of each pair of straight lines, 2 x − 3 y = 6 and 3 x + 6 y = 16.
Question # 2
Find the equations of lines represented by 2 x2 + 3 x y − 5 y2 .
Question # 3
let P be the point ( − 3 , 2 ) and let us consider the following eight points: A ( 3 , − 2 ) , B ( 3 , 2 ) , C ( − 3 , 7 ) , D ( 2 , 2 ) , E ( − 3 , − 2 ) , F ( − 8 , 2 ) , G ( − 3 , − 3 ). Which of the points above is obtained from the point P by the vertical translation 5 units upward?
Question # 4
Find the point of concurrency of: x − y = 6 , 4 y + 22 = 3 x and 6 x + 5 y + 8 = 0.
Question # 5
Each fork in a store costs $ 5 and each knife costs $ 4 . If you want to spend exactly $ 36 , write an equation in standard form modeling this situation. Let f represents the number of forks you buy and k represents the number of knives you buy.
Question # 6
let P be the point ( − 3 , 2 ) and let us consider the following eight points: A ( 3 , − 2 ) , B ( 3 , 2 ) , C ( − 3 , 7 ) , D ( 2 , 2 ) , E ( − 3 , − 2 ) , F ( − 8 , 2 ) , G ( − 3 , − 3 ). Which of the points above is obtained from the point P by the vertical translation 5 units downward?
Question # 7
Solve: y = 2 x − 11 ; − 3 y = − 6 x − 15.
Question # 8
The inclination of x-axis and every line parallel to x-axis is _____.
Question # 9
Let P ( 8 , 3 ) and O ′ ( 2 , − 5 ) be two points in the X Y -coordinates system. Find the X Y -coordinates of p referring to the translated axes O ′ X and O ′ Y.
Question # 10
Find the distance between the points ( − 2 , − 3 ) and ( − 4 , 4 ).
Question # 11
Which of the equations describes the function obtained from y = 8 x3 + 5 by the horizontal translation 5 units to the right?
Question # 12
Which of the equations above describes the function obtained from y = 8 x3 + 5 by the vertical translation 5 units upward?
Question # 13
If A ( − 2 , 1 ) , B ( 2 , 3 ) and C ( − 2 , − 4 ) are three points, fine the angle between the straight lines A B and B C .
Question # 14
Find the acute angle between the lines 7 x − 4 y = 0 and 3 x − 11 y + 5 = 0.
Question # 15
The two lines: x + y = 3 and 2 x + 2 y = 6 are _____.
Question # 16
Evaluate the determinant of the matrix A = ?
Question # 17
If a system of equations has no solution, what does the graph look like?
Question # 18
Find the ratio in which the line segment P Q , where P ( − 5 , 2 ) and Q ( 2 , 3 ) , is divided by y -axis.
Question # 19
Find the coordinates of the point which divides the join of P ( − 1 , 7 ) and Q ( 4 , − 3 ) in the ratio 2 : 3.
Question # 20
Check whether the points ( 3 , 4 ) and ( − 5 , 6 ) lie on the same side of the straight line 5 x − 2 y = 9 or not.
Question # 21
See the diagram and find the length of line segment AD.
Question # 22
Test whether the given function f ( x , y ) = x c o s ( y / x ) is homogeneous or not.
Question # 23
A farmer has 200 acres of land suitable for cultivating crops A , B and C . The cost per acre of cultivating crops A , B and C is $ 40 , $ 60 and $ 80 , respectively. The farmer has $ 12 , 600 available for cultivation. Each acre of crop A requires 20 labor-hours, each acre of crop B requires 25 labor-hours and each acre of crop C requires 40 labor hours. The farmer has a maximum of 5950 labor-hours available. If she wishes to use all of her cultivatable land, the entire budget, and all the labor available, how many acres of each crop should she plant? Formulate but do not solve the problem.
Question # 24
let P be the point ( − 3 , 2 ) and let us consider the following eight points: A ( 3 , − 2 ) , B ( 3 , 2 ) , C ( − 3 , 7 ) , D ( 2 , 2 ) , E ( − 3 , − 2 ) , F ( − 8 , 2 ) , G ( − 3 , − 3 ). Which of the points above is obtained from the point P by the horizontal translation 5 units to the right?
Question # 25
The star is made up of equilateral triangles as shown in given picture. What is the order of rotational symmetry of the star?
Question # 26
Find the angle between the two lines: y = 2 x + 3 ; y = − 3 x + 5.
Question # 27
See the picture and find the equation of the straight line passing through A and B?
Question # 28
Is line segment A N is an altitude of triangle A B C ? (See the picture)
Question # 29
What is perpendicular bisector of the line segment between ( 2 , 7 ) and ( 6 , 5 )?
Question # 30
Determine whether the system of linear equations 2 x − 3 y = 12 ; x + 2 y = 6 has a unique solution, infinitely many solutions or no solution. Find all solutions whenever they exist.
Total Questions
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Math MCQ Test by Topics
- +4.1 Introduction
- +4.1.1 The Distance Formula
- +4.1.2 Point Dividing the Join of Two Points in a given Ratio
- +4.1 Exercise
- +4.2 Translation and Rotation of Axes
- +4.2 Exercise
- +4.3 Equation of Straight lines
- +4.3.1 Slope or Gradient of a Straight Line Joining Two Points
- +4.3.2 Equation of a Straight Line Parallel to the x-axis (or perpendicular to the y-axis)
- +4.3.4 Derivation of Standard Forms of Equations of Straight Lines
- +4.3.5 A Linear Equation in two Variables Represents a Straight Line
- +4.3.6 To Transform the General Linear Equation to Standard Forms
- +4.3.7 Position of a point with respect to a line
- +4.4 Two and Three Straight Lines
- +4.4.1 The Point of Intersection of two Straight Lines
- +4.4.2 Condition of Concurrency of Three Straight Lines
- +4.4.3 Equation of Lines through the point of intersection of two lines
- +4.4.4 Distance of a point from a line
- +4.4.5 Distance Between two Parallel Lines
- +4.4.6 Area of a Triangular Region Whose Vertices are Given
- +4.3 Exercise
- +4.5 Angle between Two Lines
- +4.5.1 Equation of a Straight Line in Matrix form
- +4.4 Exercise
- +4.6 Homogeneous Equation of the Second Degree in two variables
- +4.6.1 Homogeneous Equation
- +4.6.2 To find measure of the angle between the lines represented by
- +4.5 Exercise
Math
12th Class Online Classes 2026
Updated on: 17-05-2026
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