This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 17 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 17 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Identify the given conic sections that the equation represents. $4x^2+y^2+24x-10y+45=0$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. 2. Find the radius of the circle:$x^2+y^2+24x+10y+160=0$ A) $3$. B) 3 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $3$. 3. A/An ..... is the set of all points in a plane that are equidistant from a given point in the plane called the center. A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: C) Circle. 4. The difference of the focal distances of any point on the hyperbola is equal to A) Length of conjugate axis. B) Eccentricity. C) Length of transverse axis. D) Latus rectum. Show Answer Correct Answer: C) Length of transverse axis. 5. A ..... is a conic section which is mirror-symmetrical and is approximately U-shaped. A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: A) Parabola. 6. What is the center of the circle given the equation? $x^2+y^2=1$ A) (1, 1). B) (1, 0). C) (0, 0). D) Not enough information. Show Answer Correct Answer: C) (0, 0). 7. Conics are special curves and are classified into four types. EXCEPT? A) Ellipse. B) Parabola. C) Circle. D) Cone. E) Hyperbola. Show Answer Correct Answer: D) Cone. 8. This conic section is formed when the cutting plane is parallel to the base and perpendicular to the axis. A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Circle. 9. A/An ..... is the set of all points in a plane such that the sum of the distances from two fixed points is constant. A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. 10. The plane intersects TWO NAPPES of the double right circular cone as long as the angle between the plane and the vertical axis is GREATER THAN OR EQUAL to the vertex angle. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 11. The equation of the parabola whose focus is located at (-1, 3) and whose directrix has the equation $x=-5$ A) $\left(x-1\right)^2=16\left(y+3\right)$. B) $\left(x+3\right)^2=8\left(y-3\right)$. C) $8\left(x+3\right)^2=\left(y-3\right)$. D) $\left(y-3\right)^2=8\left(x+3\right)$. Show Answer Correct Answer: B) $\left(x+3\right)^2=8\left(y-3\right)$. 12. Which equation shows an ellipse? A) $y^2+x-3y-15=0$. B) $2x^2-4y^2+18x+120y-159=0$. C) $4x^2+4y^2-16y+81=0$. D) $16x^2+11y^2+54x-61y-121=0$. Show Answer Correct Answer: D) $16x^2+11y^2+54x-61y-121=0$. 13. Which is the equation to find c on an ellipse? A) C$^{2}$ = a$^{2}$ + b$^{2}$. B) C$^{2}$ = a$^{2}$-b$^{2}$. C) 1/4d. D) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. Show Answer Correct Answer: B) C$^{2}$ = a$^{2}$-b$^{2}$. 14. Which is the most basic equation of a parabola? A) Y = x$^{2}$. B) Y = 2x$^{2}$ + 3. C) Y =-x$^{2}$-4. D) Y =-x$^{2}$. Show Answer Correct Answer: A) Y = x$^{2}$. 15. What conic section is formed when the plane (not necessarily vertical) intersects both cones to form two unbounded curves? A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 16. Identify the radius of the circle:$\left(x+7\right)^2+\left(y+8\right)^2=64$ A) $8$. B) 8 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $8$. 17. Which of the following is not a property of a circle? A) All radii are equal. B) A diameter is twice the length of the radius. C) The center is equidistant from all points on the circle. D) The circumference is the same as the area. Show Answer Correct Answer: D) The circumference is the same as the area. 18. Identify the given conic sections that the equation represents. $-9x^2+25y^2-100x-125=0$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 19. $y^2=x$ A) X-axis. B) Y-axis. C) All the above. D) None of the above. Show Answer Correct Answer: A) X-axis. 20. In an ellipse, the distance between its foci is 6 and the length of the minor axis is 8. Its eccentricity is A) $\frac{4}{5}$. B) $\frac{1}{\sqrt{52}}$. C) $\frac{3}{5}$. D) $\frac{1}{2}$. Show Answer Correct Answer: C) $\frac{3}{5}$. 21. What type of conic section is $6y^2-5x-2y+5=0$ A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Parabola. 22. Which of the following conic sections have transverse and conjugate axis? A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 23. An ellipse is the set of points in a plane whose distancesfrom two fixed points in the plane have a constant difference. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 24. Find the focus, and directrix of the parabola:x$^{2}$ = 28y A) Focus:(0, 7) Directrix:y=-7. B) Focus:(7, 0) Directrix:y=7. C) Focus:(0, -7) Directrix:x=-7. D) Focus:(7, 0) Directrix:x=7. Show Answer Correct Answer: A) Focus:(0, 7) Directrix:y=-7. 25. What conic section is formed when the plane intersects only one cone to form an unbounded curve or when the plane is parallel to the element? A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. ← PreviousNext →Related QuizzesClass 11 Mathematics Chapter 11 Conic Sections Quiz 1Class 11 Mathematics Chapter 11 Conic Sections Quiz 2Class 11 Mathematics Chapter 11 Conic Sections Quiz 3Class 11 Mathematics Chapter 11 Conic Sections Quiz 4Class 11 Mathematics Chapter 11 Conic Sections Quiz 5Class 11 Mathematics Chapter 11 Conic Sections Quiz 6Class 11 Mathematics Chapter 11 Conic Sections Quiz 7Class 11 Mathematics Chapter 11 Conic Sections Quiz 8Class 11 Mathematics Chapter 11 Conic Sections Quiz 9Class 11 Mathematics Chapter 11 Conic Sections Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books