2nd Year Math Chapter 6 Conic Section MCQs With Answers

Here you are getting the 2nd Year Math Chapter 6 Conic Section MCQs With Answers. From the entry test perspective, this chapter is very important. The important topic in this chapter includes the equation of a circle, Tangents and Normals, and Important Properties of a Circle with Analytic Proofs. Through these MCQs of this chapter, you will be able to prepare for the conic sections including Parabola, Ellipse, and Hyperbola. Then the topics include Tangents and Normals, Translation and Rotation of Axes, and finally the General equation of the second degree.

2nd Year Math Chapter 6 Conic Section MCQs With Answers

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2nd Year Math Chapter 6

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1. For any parabola in the standard form, if the directrix is x = a, then its equation is

A) y^2 = −4ax

B) y^2 = 4ax

C) x^2 = −4ay

D) x^2 = 4ay

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2. The equation x² + y² + 2gx + 2fy + c = 0 represents the circle with centre

A) (g, −f)

B) (g, f)

C) (−g, −f)

D) (−f, −g)

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3. The equation x² + y² = 0 then circle is

A) Real circle

B) Unit Circle

C) Imaginary Circle

D) Point Circle

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4. The chord containing the Centre of the circle is

A) Tangent of circle

B) Radius of circle

C) Area of circle

D) Diameter of circle

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5. The curve y² = 4ax is symmetric about

A) Both (a) and (b)

B) y − axis

C) None of these

D) x − axis

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6. Latus rectum of x² = −4ay is

A) x = a

B) y = −a

C) x = −a

D) y = a

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7. The point P(−5, 6) lies __________ the circle x² + y² + 4x − 6y = 12.

A) None of these

B) On

C) Inside

D) Outside

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8. All lines through vertex and points on circle generate a

A) Circular cone

B) Ellipse

C) Circle

D) None of these

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9. The equation x² + y² + 2gx + 2fy + c = 0 represents the circle with centre

A) √g2 + f2 – c

B) √g2 + f2 + c

C) √g + f – c

D) √g2 + c2 − f

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10. The circle whose radius is zero is called:

A) point circle

B) Unit circle

C) circumcircle

D) in-circle

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11. For any parabola in the standard form, if the directrix is x = −a, then its equation is

A) y^2 = 4ax

B) y^2 = −4ax

C) x^2 = 4ay

D) x^2 = −4ay

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12. The focal chord is a chord which is passing through

A) None of these

B) Origin

C) Focus

D) Vertex

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13. The line perpendicular to the tangent at any point P(x, y) is known as;

A) Tangent line

B) Normal at P

C) None of these

D) Slope of tangent

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14. The circle whose radius is 1 is called:

A) in-circle

B) Unit circle

C) circumcircle

D) point circle

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15. The ratio of the distance of a point from the focus to the distance from the directrix is denoted by

A) E

B) r

C) e

D) R

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16. The set of points which are equal distance from a fixed point is called:

A) Circle

B) Hyperbola

C) Ellipse

D) Parabola

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17. For any parabola in the standard form, if the directrix is y = a, then its equation is

A) x^2 = −4ay

B) y^2 = 4ax

C) y^2 = −4ax

D) x^2 = 4ay

18 / 20

18. The angle inscribed in a semi-circle is:

A) None of these

B) π/4

C) π/2

D) π/3

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19. The locus of a revolving line with one end fixed and other ends on the circumference of a circle is called:

A) a conic

B) a circle

C) a cone

D) a sphere

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20. Eccentricity of the ellipse x²/a² + y²/b² = 1 is

A) None of these

B) c/a

C) ac

D) a/c

Your score is

So, these are the important topics and the 2nd Year Math Chapter 6 MCQs are given below in this post. In order to get good marks on the entry test, and prepare well for this chapter, Solve the quiz below and check the answer at the end.

2nd Year Math Chapter 6 Conic Section MCQs With Answers

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