This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 20 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 20 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which conic's equation has only 1 square? A) Parabola. B) Circle. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: A) Parabola. 2. The equation of the parabola with vertex at the origin, the axis along the x axis and passing through the point (2, 3) is A) $y^2=9x$. B) $y^2=\frac{9x}{2}$. C) $y^2=2x$. D) $y^2=\frac{2x}{9}$. Show Answer Correct Answer: B) $y^2=\frac{9x}{2}$. 3. In the equation $(x-3)^2+(y-2)^2=16$ A) $(3, 2)$. B) $(-3, -2)$. C) $(-2, -3)$. D) $(2, 3)$. Show Answer Correct Answer: A) $(3, 2)$. 4. A parabola is formed if the angle of the cutting plane with the vertical axis is equal to the vertex angle. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 5. $(x-3)^2+(y-5)^2=20$ A) $x^2+y^2-6x-10y+14=0$. B) $x^2+y^2-10x-6y+14=0$. C) $x^2+y^2+8x-3y+20=0$. D) $x^2+y^2-6x-10y+20=0$. Show Answer Correct Answer: A) $x^2+y^2-6x-10y+14=0$. 6. At what point of the parabola $x^2=9y$ A) (1, 1). B) (3, 1). C) (1, 3). D) (-3, -3). Show Answer Correct Answer: B) (3, 1). 7. Classify this conic:x$^{2}$+5xy+8y$^{2}$-10x+3y+10=0 A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: A) Ellipse. 8. In an ellipse, what distance does 'b' represent? A) The distance from the center to a vertex. B) The distance from the center to an endpoint of the Minor Axis. C) The distance from the center to a focus. D) The length of the minor axis. E) The length of the major axis. Show Answer Correct Answer: B) The distance from the center to an endpoint of the Minor Axis. 9. The foci are located inside the ellipse. True or False A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 10. $\frac{x^2}{4}-\frac{y^2}{12}=1$ A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 11. What is the center of the circle with the equation $x^2+y^2-6x+8y+9=0$ A) $\left(3, -4\right)$. B) $\left(3, 4\right)$. C) $\left(4, -3\right)$. D) $\left(1, 2\right)$. Show Answer Correct Answer: A) $\left(3, -4\right)$. 12. What is the focus of the following parabola? $x=-\frac{1}{12}\left(y+5\right)^2+2$ A) (2, -5). B) (-5, 2). C) (1, -5 ). D) (-1, -5 ). Show Answer Correct Answer: D) (-1, -5 ). 13. What conic section describe by: "an equation of the second degree in which the xy-term is missing and only one square term is present" . A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: D) Parabola. 14. Degenerate conics are formed when the cutting plane crosses the vertex. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 15. (x+3)$^{2}$ = 4(y+5)What is the equation of the directrix? A) X = 4. B) X = 2. C) Y =-4. D) Y =-6. Show Answer Correct Answer: D) Y =-6. 16. What type of conic section is this equation? $\frac{\left(x-5\right)^2}{9}-\frac{\left(y-1\right)^2}{25}=1$ A) Parabola. B) Hyperbola. C) Circle. D) Ellipse. Show Answer Correct Answer: B) Hyperbola. 17. The radius of the circle given by the equation $\left(x-2\right)^2+\left(y+3\right)^2=25$ A) 5. B) 10. C) 25. D) 2. Show Answer Correct Answer: A) 5. 18. What is the center? $\left(x-3\right)^2+\left(y\right)^2=36$ A) (3, 0). B) (0, 3). C) (0, -3). D) (-3, 0). Show Answer Correct Answer: A) (3, 0). 19. Classify this conic:40x$^{2}$-40y$^{2}$ + 2x-8y + 10 = 0 A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 20. What type of conic section is this:A and C have opposite signs A) Circle, Point, or an empty set. B) Hyperbola. C) Ellipse, or an empty set. D) Parabola. Show Answer Correct Answer: B) Hyperbola. 21. Identify the radius of the circle:$x^2+\left(y+2\right)^2=121$ A) $11$. B) 11 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $11$. 22. What is the center, a and b values for the following equation:x$^{2}$ + 4y$^{2}$ + 16x-80y + 320 = 0 A) (-8, 10); a = 12, b = 6. B) (-8, 10); a = 6, b = 12. C) (8, -10); a = 12, b = 6. D) (8, -10); a = 6, b = 12. Show Answer Correct Answer: A) (-8, 10); a = 12, b = 6. 23. If a circle has its center in the origin with a diameter of 8 units, which of the following represents its equation? A) $x^2+y^2=4$. B) $x^2+y^2=8$. C) $x^2+y^2=16$. D) $x^2+y^2=64$. Show Answer Correct Answer: D) $x^2+y^2=64$. 24. Parabola is the figure formed when the plane cuts one nappe at an angle with the cone axis. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 25. Identify the conic:-6x$^{2}$ + 4y$^{2}$ + 9x + y =-7 A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. ← 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