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

A) x^2 = 4ay

B) y^2 = 4ax

C) x^2 = −4ay

D) y^2 = −4ax

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

A) Ellipse

B) Hyperbola

C) Parabola

D) Circle

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4. 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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5. The equation x² + y² = 0 then circle is

A) Unit Circle

B) Point Circle

C) Imaginary Circle

D) Real circle

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

A) c/a

B) a/c

C) None of these

D) ac

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

A) x^2 = −4ay

B) x^2 = 4ay

C) y^2 = −4ax

D) y^2 = 4ax

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8. 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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9. The chord containing the Centre of the circle is

A) Area of circle

B) Tangent of circle

C) Diameter of circle

D) Radius of circle

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

A) a circle

B) a conic

C) a sphere

D) a cone

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

A) On

B) Inside

C) Outside

D) None of these

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12. The circle whose radius is 1 is called:

A) circumcircle

B) in-circle

C) point circle

D) Unit circle

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13. The curve y² = 4ax is symmetric about

A) x − axis

B) y − axis

C) None of these

D) Both (a) and (b)

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

A) e

B) E

C) r

D) R

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

A) Slope of tangent

B) Normal at P

C) Tangent line

D) None of these

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

A) Focus

B) Vertex

C) Origin

D) None of these

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

A) y^2 = 4ax

B) x^2 = 4ay

C) y^2 = −4ax

D) x^2 = −4ay

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

A) None of these

B) π/3

C) π/4

D) π/2

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19. Latus rectum of x² = −4ay is

A) x = −a

B) y = a

C) y = −a

D) x = a

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20. The circle whose radius is zero is called:

A) Unit circle

B) point circle

C) circumcircle

D) in-circle

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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