This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 3 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. To form an ellipse, the orientation of the cutting plane as it intersects the double napped cone is ..... A) Horizontal. B) Parallel to one side of the cone. C) Slightly tilted. D) Vertical. Show Answer Correct Answer: C) Slightly tilted. 2. $x^2+y^2-16y-12x+19=0$ A) $\left(x-6\right)^2+\left(y-8\right)^2=9$. B) $\left(x-6\right)^2+\left(y-8\right)^2=81$. C) $\left(x-6\right)^2+\left(y+8\right)^2=9$. D) $\left(x-8\right)^2+\left(y-6\right)^2=81$. Show Answer Correct Answer: B) $\left(x-6\right)^2+\left(y-8\right)^2=81$. 3. Which conic section does the equation $r = \frac{2}{1 + \sin(\theta)}$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. 4. The focus is always inside the parabola. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 5. What are the coordinates of center of circle passing through (0, 0), (4, 0) and (0, -6) A) (-2, 3). B) (2, -3). C) (3, 2). D) (3, -2). Show Answer Correct Answer: B) (2, -3). 6. In an ellipse, what is the length of the minor axis? A) A. B) 2a. C) B. D) 2b. E) C. Show Answer Correct Answer: D) 2b. 7. Identify the eccentricity of the conic section given by the polar equation $r = \frac{3}{2-\cos(\theta)}$ A) 0.5. B) 1. C) 2. D) 1.5. Show Answer Correct Answer: B) 1. 8. Given the following equation, x$^{2}$+5xy+8y$^{2}$-10x+3y+10=0What type of conic section is this? A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: A) Ellipse. 9. Write an equation for the ellipse with each set of characteristics. Then answer the questions.Vertices ( 4, 3), (4, -9)Length of minor axis is 8What is the center of this ellipse? ..... Write the equation in standard form ..... A) (4, 6). B) (-4, 3). C) (6, 4). D) (4, -3). Show Answer Correct Answer: D) (4, -3). 10. What type of conic section is $-6x^2+4y^2+9x+y+7=0$ A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 11. The equation of parabola with vertex at origin the axis is along x-axis and passing through the point (2, 3) is(a) y$^{2 }$= 9x(b) 2y$^{2 }$= 9x(c) y$^{2 }$= 2x(d) 9y$^{2}$ = 2x A) . B) . C) . D) . Show Answer Correct Answer: A) . 12. Ellipse is the figure formed when the plane cuts one nappe parallel to the side of the cone. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 13. The area of the triangle formed by the lines joining the vertex of the parabola x$^{2}$ = 12y to the ends of its latus rectum is A) 12 sq.unit. B) 16 sq.unit. C) 18 sq.unit. D) 24 sq.unit. Show Answer Correct Answer: C) 18 sq.unit. 14. How can you tell the difference between an ellipse and a circle? A) If the ellipse open curved shape is a line. B) If the ellipse is close to the circle. C) If the circle closed curved shape is flat. D) If the circle is infinite line. Show Answer Correct Answer: C) If the circle closed curved shape is flat. 15. Which shape graph would the equation make? $4x^2+4y^2-19=0$ A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: A) Circle. 16. What is the directrix of the parabola with equation $\left(x-4\right)^2=8\left(y+3\right)$ A) Y =-3. B) X= 5. C) Y=-5. D) Y= 2. Show Answer Correct Answer: C) Y=-5. 17. The center of the circle given by the equation $\left(x+4\right)^2+\left(y-1\right)^2=16$ A) $\left(4, -1\right)$. B) $\left(-4, 1\right)$. C) $\left(1, 4\right)$. D) $\left(-1, 4\right)$. Show Answer Correct Answer: B) $\left(-4, 1\right)$. 18. What is p in the equation:(y-9)$^{2 }$=$^{ }$-40(x+4) A) -10. B) 10. C) -40. D) 40. Show Answer Correct Answer: A) -10. 19. Which is the center of the circle with the equation(x-3)$^{2}$ + (y + 5)$^{2}$ = 16 A) (3, 5). B) (-3, 5). C) (5, -3). D) (3, -5). Show Answer Correct Answer: D) (3, -5). 20. What is the equationof the circle given its center at (0, 0) and a radius of $\sqrt{2}$ A) $x^2+y^2=\sqrt{2}$. B) $x^2+y^2=2$. C) $x^2+y^2=\sqrt{-2}$. D) $x^2+y^2=-2$. Show Answer Correct Answer: B) $x^2+y^2=2$. 21. Identify the conic section described by the equation 25x$^{2}$ + 5y$^{2}$ + 6x + 4y +2 = 0. A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 22. Which of the following is the equation of the circle with a center at (5, 10) and diameter = 10 A) (x-5)$^{2}$ + (y-10)$^{2}$ = 10. B) (x-5)$^{2}$ + (y-10)$^{2}$ = 100. C) (x + 5)$^{2}$ + (y + 10)$^{2}$ = 25. D) (x-5)$^{2}$ + (y-10)$^{2}$ = 25. Show Answer Correct Answer: D) (x-5)$^{2}$ + (y-10)$^{2}$ = 25. 23. The circle is a special kind of ellipse. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 24. Given the equation x$^{2 }$+ y$^{2 }$-10x + 3y + 10 = 0, what type of conic section is this? A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Circle. 25. The focus is p units away from the vertex. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. ← 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 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 10Class 11 Mathematics Chapter 11 Conic Sections Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books