This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 2 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Write the equation of a circle in standard form:$\left(x+5\right)^2+\left(y+7\right)^2=36$ A) $\left(x+10\right)^2+\left(y+11\right)^2=36$. B) (x+10)2+(y+11)2=36 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x+10\right)^2+\left(y+11\right)^2=36$. 2. Identify the given conic sections that the equation represents. $36x^2+5y^2-90y-495=0$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. 3. Classify this conic:-60x$^{2}$ + 40y$^{2}$ + 9x + y =-7 A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 4. A parabola is the set of all points equidistant from the focus and the directrix. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 5. Find the eccentricity of the conic section given by $r = \frac{1}{0.5 +\cos(\theta)}$ A) 0.5. B) 1. C) 1.5. D) 2. Show Answer Correct Answer: B) 1. 6. In an ellipse, what distance does 'c' 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: C) The distance from the center to a focus. 7. 6x$^{2}$ + 6y$^{2}$-3x + 4y = 0 is the equation of a A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Circle. 8. Find the equation of the parabola with focus at (4, 5) and a directrix of x = 1. A) $(y-5)^2=6(x-5/2)$. B) $(x-4)^2=8(y-3)$. C) $(x+4)^2=8(y+3)$. D) $(x-4)^2=-8(y-3)$. Show Answer Correct Answer: A) $(y-5)^2=6(x-5/2)$. 9. What is the definition of locus of points? A) The sum of two numbers. B) The product of two numbers. C) A set of points. D) A set of points that satisfy a certain condition or property. Show Answer Correct Answer: D) A set of points that satisfy a certain condition or property. 10. What is the correct ordered pair for the VERTEX point? A) (h, k). B) (k, h). C) All the above. D) None of the above. Show Answer Correct Answer: A) (h, k). 11. Write an equation for the ellipse with each set of characteristics. Then answer the question.Vertices (-2, -4), (-2, 8)Length of minor axis is 10What is the center of the ellipse? A) (-2, 2). B) (-2, 4). C) (2, -2). D) (-2, 1). Show Answer Correct Answer: A) (-2, 2). 12. For a hyperbola, length of minor axis is A) 2a. B) 2b. C) A. D) B. Show Answer Correct Answer: B) 2b. 13. Y=-2(x+3)$^{2-6}$What is the equation of the directrix? A) X = 47/8. B) X =-47/8. C) Y = 47/8. D) Y =-47/8. Show Answer Correct Answer: D) Y =-47/8. 14. Which of the following center and radius gives the equation (x-3)$^{2}$ + (x + 4)$^{2}$ = $^{9}$/$_{4}$? A) Center:(3, -4)Radius:$^{3}$/$_{2}$. B) Center:(-3, -4)Radius:$^{3}$/$_{2}$. C) Center:(-3, -4)Radius:$^{9}$/$_{2}$. D) Center:(3, -4)Radius:$^{9}$/$_{2}$. Show Answer Correct Answer: A) Center:(3, -4)Radius:$^{3}$/$_{2}$. 15. What has A CIRCULAR BASE, and it's AXIS is always perpendicular line from the center of the base to the VERTEX A) THE VERTEX ANGLE. B) DIRENTRIX. C) A DOUBLE RIGHT CIRCULAR CONE. D) A RIGHT CIRCULAR CONE. Show Answer Correct Answer: D) A RIGHT CIRCULAR CONE. 16. Identify the conic $6y^2-5x-2y+5=0$ A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Parabola. 17. What is the sidewise surface of a circular cone? A) ELLIPSE. B) AXIS. C) THE NAPPE. D) PARABOLA. Show Answer Correct Answer: C) THE NAPPE. 18. The focus of a parabola is located at (-7, -1) and the directrix is at x =-1. Which statement is true? A) The vertex is at (4, -1). B) The graph opens to the right. C) The value of p is-3. D) The directrix is a horizontal line. Show Answer Correct Answer: C) The value of p is-3. 19. True or False? When the x-part is squared, the parabola opens up or down. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 20. What is the value of p? (x+3)$^{2}$ = 4(y+5) A) 4. B) 16. C) 1. D) None of the above. Show Answer Correct Answer: C) 1. 21. What is the focus of the following parabola? $\left(y-3\right)^2=-8\left(x+2\right)$ A) (3, -4). B) (-5, 2). C) (3, -2 ). D) (-4, 3 ). Show Answer Correct Answer: D) (-4, 3 ). 22. Which way does the graph move if the equation looks like y = (x-k)$^{2 }$? A) Graph moves UP. B) Graph moves to the RIGHT. C) Graph moves DOWN. D) Graph moves to the LEFT. Show Answer Correct Answer: B) Graph moves to the RIGHT. 23. $25x^2+9y^2-225=0$ A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: C) Ellipse. 24. What is the equation of a vertical ellipse whose center is (0, 0), length of the major axis is 12 and length of the minor axis is 10? A) $\frac{x^2}{36}+\frac{y^2}{25}=1$. B) $\frac{x^2}{25}+\frac{y^2}{36}=1$. C) $\frac{x^2}{144}+\frac{y^2}{100}=1$. D) $\frac{x^2}{100}+\frac{y^2}{144}=1$. Show Answer Correct Answer: B) $\frac{x^2}{25}+\frac{y^2}{36}=1$. 25. A conic section that has the set of all points in a plane, the sum of whose distances from two fixed points in the plane is a constant. A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: C) Ellipse. ← PreviousNext →Related QuizzesClass 11 Mathematics Chapter 11 Conic Sections Quiz 1Class 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 10Class 11 Mathematics Chapter 11 Conic Sections Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books