This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 9 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What best describes a locus where all points are 2 cm from a point P? A) Circle. B) Line. C) Ellipse. D) Triangle. Show Answer Correct Answer: A) Circle. 2. What is the center-radius form of the equation of a circle? A) $\left(x-h\right)^2+\left(y-k\right)^2=r^2$. B) $\left(x-h\right)^2-\left(y-k\right)^2=r^2$. C) $\left(x+h\right)^2+\left(y+k\right)^2=r^2$. D) $\left(x+h\right)^2-\left(y+k\right)^2=r^2$. Show Answer Correct Answer: A) $\left(x-h\right)^2+\left(y-k\right)^2=r^2$. 3. Which conic section is represented by the equation $2x^2-16x-12y+20=0$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: D) Parabola. 4. What type of conic section is $6x^2+6y^2-3x+4y=0$ A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Circle. 5. Which correctly describes the parabola:$x=-3\left(y+1\right)^2+5$ A) Opens left. B) Opens right. C) Opens up. D) Opens down. Show Answer Correct Answer: A) Opens left. 6. Asymptotes of the hyperbola $\frac{y^2}{a^2}-\frac{x^2}{b^2}=1$ A) $y=\pm\frac{a}{b}x$. B) $y=\pm\frac{b}{a}x$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $y=\pm\frac{a}{b}x$. 7. Directrix of the parabola $y=4x^2$ A) $y=1$. B) $y=-4$. C) $y=\frac{1}{16}$. D) $y=-\frac{1}{16}$. Show Answer Correct Answer: D) $y=-\frac{1}{16}$. 8. Identify the given conic sections that the equation represents. $-4x^2+y^2+8x-20y-4=0$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 9. Why are Conic Sections given this name? A) They are the cross-sections given when a cone is sliced. B) Because it's part of 'da rules'. C) They are the cross-sections given when any 3D image is sliced. D) None of the above. Show Answer Correct Answer: A) They are the cross-sections given when a cone is sliced. 10. What is the center of (x-5)$^{2 }$+ (y + 1)$^{2}$ = 25 A) (5, -1). B) (-5, 1). C) (1, 5). D) (-1, 5). Show Answer Correct Answer: A) (5, -1). 11. Which is a horizontal ellipse? A) $\frac{x^2}{4}+\frac{y^2}{9}=1$. B) $\frac{x^2}{16}+\frac{y^2}{16}=1$. C) $\frac{x^2}{16}+\frac{y^2}{9}=1$. D) $x^2+\frac{y^2}{49}=1$. Show Answer Correct Answer: C) $\frac{x^2}{16}+\frac{y^2}{9}=1$. 12. If a vertex of a horizontal ellipse is at (0, 0) and the length of the major axis is 8, where is the other vertex? A) (8, 0). B) (0, 8). C) (16, 0). D) (0, 16). Show Answer Correct Answer: A) (8, 0). 13. What is the center for this ellipse? $\frac{\left(x+1\right)^2}{16}+\frac{\left(y-4\right)^2}{4}=1$ A) (4, 2). B) (-1, 4). C) (1, -4). D) (2, 4). Show Answer Correct Answer: B) (-1, 4). 14. What is the midpoint between the points at (12, 7) and (18, 19)? A) (30, 26). B) (15, 13). C) (-6, -12). D) (3, 6). Show Answer Correct Answer: B) (15, 13). 15. A type of conic section which has the set of all points that are equidistant from a fixed point in the plane. A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: A) Circle. 16. What type of conic section is $25x^2+5y^2+6x+4y+2=0$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 17. All parabolas with a vertical directrix open the left or right. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 18. Which of the following is the standard form of the equation of an ellipse centered at the origin with semi-major axis $a$ $b$ A) $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$. B) $\frac{x^2}{b^2} + \frac{y^2}{a^2} = 1$. C) $\frac{x^2}{a^2}-\frac{y^2}{b^2} = 1$. D) $\frac{x^2}{b^2}-\frac{y^2}{a^2} = 1$. Show Answer Correct Answer: A) $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$. 19. What are the coordinates of the center of the ellipse given by the equation $\frac{(x-3)^2}{16} + \frac{(y+2)^2}{9} = 1$ A) $(3, 2)$. B) $(-3, -2)$. C) $(3, -2)$. D) $(-3, 2)$. Show Answer Correct Answer: C) $(3, -2)$. 20. In an ellipse, what is the length of the major axis? A) A. B) 2a. C) B. D) 2b. E) C. Show Answer Correct Answer: B) 2a. 21. If a parabola has a vertex of (1, 0) and a focus of (9/7, 0), what would the fraction be that is in front of the parentheses in the equation? A) 2/7. B) 7/8. C) 8/7. D) 7/2. Show Answer Correct Answer: B) 7/8. 22. What is an equation of a quadratic with x-intercepts at $\left(4, 0\right)$ $\left(-5, 0\right)$ A) $y=-\frac{1}{3}\left(x+4\right)\left(x-5\right)$. B) $y=4\left(x+4\right)\left(x+5\right)$. C) $y=-\frac{4}{5}\left(x-4\right)\left(x+5\right)$. D) $y=3\left(x-4\right)\left(x-5\right)$. Show Answer Correct Answer: C) $y=-\frac{4}{5}\left(x-4\right)\left(x+5\right)$. 23. Identify the conic represented by the equation without completing the square:$4x^2-24x-9y^2-90y-153=0$ A) Parabola. B) Cirlce. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: C) Hyperbola. 24. Identify the conic:25x$^{2}$ + 5y$^{2}$ + 6x + 4y +2 = 0 A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 25. Given a parabola with a vertex of (4, 0) and a focus of (4, -1) write the equation of the parabola. A) $y=-\frac{1}{4}\left(x-4\right)^2$. B) Y=-41(x-4)2 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $y=-\frac{1}{4}\left(x-4\right)^2$. ← 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 10Class 11 Mathematics Chapter 11 Conic Sections Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books