Fsc Second Year Math mcqs CH#06 Conic Sections

Fsc Second Year Math mcqs Conic Sections consists of 350+ mcqs. Prepare these mcqs for ECAT, exam and all admission test preparation.

1. Equation of circle with center at origin and radius $\sqrt{5}$ is

A) $x^2+y^2=\sqrt{5}$

B) $x^2+y^2=5$

C) $x^2+y^2=25$

D) $(x-3)^2+y^2=5$

B) $x^2+y^2=5$

2. Two circles are said to be concentric if they have

A) same radius

B) same centre

C) same diameter

D) different centres

B) same centre

3. The centre of the circle $(x+1)^2+(y-3)^2=3$

A) (-1, -3)

B) (1, 3)

C) (1, -3)

D) (-1, 3)

4. General equation of circle is

A) $x^2+2y^2+2gx+2fy+c=0$

B) $2x^2+y^2+2gx+2fy+c=0$

C) $x^2+y^2+2gx+2fy+c=0$

D) $x^2-y^2+2gx+2fy+c=0$

C) $x^2+y^2+2gx+2fy+c=0$

5. The radius of the circle $(x-5)^2+(y-3)^2=8$ is

A) 64

B) 8

C) $2\sqrt{2}$

D) 2

C) $2\sqrt{2}$

6. The radius of the circle of $x^2+y^2+2gx+2fy+c=0$ is

A) $\sqrt{g^2+f^2+c}$

B) $\sqrt{g^2+f^2-c}$

C) $\sqrt{g^2-f^2+c}$

D) g+f-c

B) $\sqrt{g^2+f^2-c}$

7. If the circle $x^2+y^2+x+2y+c=0$ passes through (-1, 0) then

A) c = -1

B) c = 2

C) c = 1

D) c = 0

8. If (2, 3) and (2, 1) are the ends of the diameter, then centre of the circle is

A) (1, 1)

B) (2, 3)

C) (2, 2)

D) (2, 1)

C) (2, 2)

9. Equation of tangent to the circle $x^2+y^2=4$ at (0, 2) is

A) x = 1

B) x = 2

C) y = 1

D) y = 2

10. Equation of tangent to the circle $x^2+y^2=4$ at (2, 0) is

A) x = 1

B) x = 2

C) y = 1

D) y = 2

B) x = 2

11. Conic sections or conics are the curves obtained by cutting a cone by

(a) a line

(b) a plane

(d) a sphere

(b) a plane

12. If a plane passes through the vertex of the cone, then intersection is

(a) a point circle

(b) an ellipse

(d) a hyperbola

(a) a point circle

13. If the intersecting plane is parallel to the axis of the cone and intersects both of its nappes then, the resulting section is

(a) a circle

(b) an ellipse

(d) a hyperbola

14. The area of the circle $x^2+y^2+2x+2y+1=0$ is

A) 8 $\pi$

B) 4 $\pi$

C) 2 $\pi$

D) $\pi$

15. The size of the circle obtained by cutting the cone by a plat perpendicular to the axis of the cone depends on how near te plane is to the

(a) space of the cone

(b) nape of the cone

(d) vertex of the cone

16. The length of the tangent drawn from the point (2, 2) to the circle $x^2+y^2+2x+4y-14=0$ is

A) 1

B) $\sqrt{6}$

C) 4

D) 12

A) 0

17. If the intersecting plane iş slightly tilted and cuts only one nape d the cone, the resulting section is

(a) a circle

(b) sphere

(d) hyperbola

(b) sphere

18. The length of the diameter to the circle $x^2+y^2=a^2$ is

A) 4a

B) 3a

C) 2a

D) a

C) 2a

19. If eccentricity e = 1 then conic is

A) Parabola

B) Ellipse

C) Hyperbola

D) Circle

A) Parabola

20. For the hyperbola $\frac{x^2}{16}-\frac{y^2}{25}=1$ , then c =

A) $\pm \sqrt{34}$

B) $\pm \sqrt{41}$

C) $\pm {3}$

D) $\pm {4}$

B) $\pm \sqrt{41}$

Q. If the cone is cut by a plane perpendicular to the axis of the cre then the section is a

(a) a circle

(b) sphere

(d) hyperbola

Check Answer A

Q If the intersecting plane is parallel to a generator of the cone b intersects its one nappe only, the resulting section is

(a) a circle

(b) an ellipse

(d) a hyperbola

Check Answer C

Q.8 The set of all points in a plane which are equidistant from some fixed point in plane is known as

(a) a circle

(b) an ellipse

(d) a hyperbola

Check Answer A

Fsc Second Year Math mcqs CH#06 Conic Sections

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