Chapter 6 Conic Section Math 12th Class Punjab MCQ Tests
12th Class Math Chapter 6 MCQ Tests
Chapter 6 of 12th Class Math has 45 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: 45
Total Marks: 45
Time: 45 Mins
Total Questions: 45
Total Marks: 45
Time: 45 Mins
45Min : 00 Sec Remaining
Question # 1
The focus of a parabolic mirror as shown in the figure is at a distance of 5 c m from its vertex. If the mirror is 45 c m deep, find the distance AB.
Question # 2
From the general form of equation of a circle x2 + y2 + 2gx + 2fy + c = 0 , the center of the circle is:
Question # 3
If the hyperbola opens right/left, then the translation is _____.
Question # 4
If two lines are perpendicular to each other then the product of their slopes is:
Question # 5
If the equation of the parabola is y2 = − 4 ax , the parabola opens:
Question # 6
The general form of the equation of normal is:
Question # 7
Find equation of the circle passing through ( a , 0 ) , ( 0 , b ) and ( 0 , 0 ).
Question # 8
At what angle the axes are rotated about the origin so that the transformed equation of the conic 5 x2 + 2 √ 3 x y + 7 y 2 − 16 = 0 does not contain the term involving xy?
Question # 9
The equation of hyperbola with foci ( ± 5 , 0 ) and vertex ( 3 , 0 ) is:
Question # 10
An ellipse with an eccentricity of 0.65 and has one of its foci 2 units from the center. The length of the latus rectum is nearest to?
Question # 11
The lines which generate the cone are known as:
Question # 12
Equation of the hyperbola passing through the point ( 1 , − 1 ) and having asymptotes x + 2y + 3 = 0 and 3x + 4 y + 5 = 0 is:
Question # 13
4 x2 − y2 = 16 is the equation of a _____.
Question # 14
An angle in a semi-circle is _____.
Question # 15
Find the length of semi-minor axis of the ellipse with center at ( 0 , 0 ) , focus at ( 0 , − 3 ) and one vertex at ( 0 , 4 ).
Question # 16
Using rotation of axes, the graph of the equation xy = 1 is a _____.
Question # 17
The designs of microwave antennas are based on _____ of the parabola.
Question # 18
A line segment whose end points lie on a circle is called _____.
Question # 19
Solve
Question # 20
To draw two tangents from a point to the circle, the point should lie _____.
Question # 21
A straight line can intersect a parabola at most at _____ points.
Question # 22
Find the angle of rotation in the conic x2 − 2xy + y2 − 8x − 8y = 0.
Question # 23
Find the equation of tangent line to the parabola y2 = − 12 x at ( − 3 , 6 )
Question # 24
The line joining the center of a circle to the midpoint of a chord is perpendicular to the _____.
Question # 25
Equation of tangent is always _____.
Question # 26
What is the focus and vertex of the parabola defined by the equation ( x − 1 )2 = 8 ( y + 2 ) ?
Question # 27
Find the center for A = B ≠ 0 from A x2 + By2 + Gx + Fy + C = 0 in case of circle.
Question # 28
The parametric equations of the circle are:
Question # 29
Find the equation of the parabola with directrix y = 3 and vertex at ( 2 , 2 ).
Question # 30
Which of the following is the equation of the ellipse with center ( 3 , 7 ) , major axis parallel to x -axis and of length 10 units, minor axis parallel to y -axis and of length 4 units.
Question # 31
The focil of the hyperbola lie on _____.
Question # 32
To find the slope of a curve, we take _____ of the equation of curve.
Question # 33
If the axes are rotated through 60°, find the XY -coordinates of the point whose xy-coordinates are ( 2 , 6 ).
Question # 34
What is the focus and vertex of the parabola defined by the equation y2 = 8x?
Question # 35
The general equation of tangent line to the parabola y2 = 4ax is:
Question # 36
Solve:
Question # 37
The angle between radial segment and tangent at the outer end of the radial segment is _____.
Question # 38
Find equation of the ellipse with vertices ( − 1 , 1 ), ( 5 , 1 ) and foci ( 4 , 1 ), ( 0 , 1 ).
Question # 39
Using rotation of axes, the equation 36 x2 + 96xy + 64 y2 + 20x − 15y + 25 = 0 represents a/an _____.
Question # 40
The condition for a line to be a tangent to the circle is:
Question # 41
Write down the equation of tangent to the circle :
Question # 42
Classify the equation x2 − 4y2 + 5x − 8y + 16 = 0 .
Question # 43
For 5 x2 − 6 x y + 5 y2 − 8 = 0 , the angle through which the axes be rotated so that the product term XY is removed from the transformed equation is:
Question # 44
Find the equation after translation of the conic x2 + y2 + 2x − 4y + 1 = 0 to ( − 1 , 2 ).
Question # 45
If the focus of the parabola is ( −a , 0 ) then equation of directrix is:
Total Questions
123456789101112131415161718192021222324252627282930313233343536373839404142434445
Question # 1
The focus of a parabolic mirror as shown in the figure is at a distance of 5 c m from its vertex. If the mirror is 45 c m deep, find the distance AB.
Question # 2
From the general form of equation of a circle x2 + y2 + 2gx + 2fy + c = 0 , the center of the circle is:
Question # 3
If the hyperbola opens right/left, then the translation is _____.
Question # 4
If two lines are perpendicular to each other then the product of their slopes is:
Question # 5
If the equation of the parabola is y2 = − 4 ax , the parabola opens:
Question # 6
The general form of the equation of normal is:
Question # 7
Find equation of the circle passing through ( a , 0 ) , ( 0 , b ) and ( 0 , 0 ).
Question # 8
At what angle the axes are rotated about the origin so that the transformed equation of the conic 5 x2 + 2 √ 3 x y + 7 y 2 − 16 = 0 does not contain the term involving xy?
Question # 9
The equation of hyperbola with foci ( ± 5 , 0 ) and vertex ( 3 , 0 ) is:
Question # 10
An ellipse with an eccentricity of 0.65 and has one of its foci 2 units from the center. The length of the latus rectum is nearest to?
Question # 11
The lines which generate the cone are known as:
Question # 12
Equation of the hyperbola passing through the point ( 1 , − 1 ) and having asymptotes x + 2y + 3 = 0 and 3x + 4 y + 5 = 0 is:
Question # 13
4 x2 − y2 = 16 is the equation of a _____.
Question # 14
An angle in a semi-circle is _____.
Question # 15
Find the length of semi-minor axis of the ellipse with center at ( 0 , 0 ) , focus at ( 0 , − 3 ) and one vertex at ( 0 , 4 ).
Question # 16
Using rotation of axes, the graph of the equation xy = 1 is a _____.
Question # 17
The designs of microwave antennas are based on _____ of the parabola.
Question # 18
A line segment whose end points lie on a circle is called _____.
Question # 19
Solve
Question # 20
To draw two tangents from a point to the circle, the point should lie _____.
Question # 21
A straight line can intersect a parabola at most at _____ points.
Question # 22
Find the angle of rotation in the conic x2 − 2xy + y2 − 8x − 8y = 0.
Question # 23
Find the equation of tangent line to the parabola y2 = − 12 x at ( − 3 , 6 )
Question # 24
The line joining the center of a circle to the midpoint of a chord is perpendicular to the _____.
Question # 25
Equation of tangent is always _____.
Question # 26
What is the focus and vertex of the parabola defined by the equation ( x − 1 )2 = 8 ( y + 2 ) ?
Question # 27
Find the center for A = B ≠ 0 from A x2 + By2 + Gx + Fy + C = 0 in case of circle.
Question # 28
The parametric equations of the circle are:
Question # 29
Find the equation of the parabola with directrix y = 3 and vertex at ( 2 , 2 ).
Question # 30
Which of the following is the equation of the ellipse with center ( 3 , 7 ) , major axis parallel to x -axis and of length 10 units, minor axis parallel to y -axis and of length 4 units.
Question # 31
The focil of the hyperbola lie on _____.
Question # 32
To find the slope of a curve, we take _____ of the equation of curve.
Question # 33
If the axes are rotated through 60°, find the XY -coordinates of the point whose xy-coordinates are ( 2 , 6 ).
Question # 34
What is the focus and vertex of the parabola defined by the equation y2 = 8x?
Question # 35
The general equation of tangent line to the parabola y2 = 4ax is:
Question # 36
Solve:
Question # 37
The angle between radial segment and tangent at the outer end of the radial segment is _____.
Question # 38
Find equation of the ellipse with vertices ( − 1 , 1 ), ( 5 , 1 ) and foci ( 4 , 1 ), ( 0 , 1 ).
Question # 39
Using rotation of axes, the equation 36 x2 + 96xy + 64 y2 + 20x − 15y + 25 = 0 represents a/an _____.
Question # 40
The condition for a line to be a tangent to the circle is:
Question # 41
Write down the equation of tangent to the circle :
Question # 42
Classify the equation x2 − 4y2 + 5x − 8y + 16 = 0 .
Question # 43
For 5 x2 − 6 x y + 5 y2 − 8 = 0 , the angle through which the axes be rotated so that the product term XY is removed from the transformed equation is:
Question # 44
Find the equation after translation of the conic x2 + y2 + 2x − 4y + 1 = 0 to ( − 1 , 2 ).
Question # 45
If the focus of the parabola is ( −a , 0 ) then equation of directrix is:
Total Questions
123456789101112131415161718192021222324252627282930313233343536373839404142434445
Math MCQ Test by Topics
- +6.1 Introduction
- +6.1.1 Equation of a Circle
- +6.1.1 General Form of an Equation of a Circle
- +6.1.2 Equations of Circles Determined by Given Conditions
- +6.1 Exercise
- +6.2 Tangents and Normals
- +6.2.1 Length of the tangent to a circle (Tangential Distance)
- +6.2 Exercise
- +6.3 Analytic proof of important properties of a Circle
- +6.3 Exercise
- +6.4 Parabola
- +6.4.1 General Form of an Equation of a Parabola
- +6.4.2 Other Standard parabolas
- +6.4.3 Graph of the Parabola
- +6.4 Exercise
- +6.5 Ellipse and its Elements
- +6.5.1 Standard Form of an Ellipse
- +6.5.2 Graph of an Ellipse
- +6.5 Exercise
- +6.6 Hyperbola and its Elements
- +6.6.1 Standard Equation of Hyperbola
- +6.6.2 Graph of the hyperbola
- +6.6 Exercise
- +6.7 Tangents and Normals
- +6.7 Intersection of Two Coincs
- +6.7 Exercise
- +6.8 Translation and Rotation of Axes
- +6.8 Exercise
- +6.9 The General Equation of Second Degree
- +6.9.1 Classification of Conics by the Discriminant
- +6.9 Exercise
Math
12th Class Online Classes 2026
Updated on: 17-05-2026
12th Class Online Preparation
12th Class 2026 Online
12th Class 2026
Add a Comment
Comments will be shown after admin approval.
Spam comments will not be approved at all.
Matric Result 2026 Punjab
10th Class Result 2026 Punjab
9th Class Result 2026 Punjab Boards
10th Class Result Gazette 2026 Punjab
Punjab Past Papers Matric 9th 10th
Primary Results 5th & 8th Class
BISE Results Intermediate & Matric
BISE Punjab Boards
Sindh Educational Boards
KPK Examination Boards
Technical Boards
Public Service Commission
University Results Gruaduation, Masters Classes
Subscribe by Email
Subscribe by Email
Subscribe to Rss Feed
Position Holders Matric 2026
Position Holders 9th Class 2026
Position Holders Inter 2026
Position Holders 11th Class 2026
Punjab 12th Class Math