This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 14 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 14 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which one is the equation of the directrix of the parabolax$^{2 }$= 8y? A) X =-2. B) X = 2. C) Y =-2. D) Y = 2. Show Answer Correct Answer: C) Y =-2. 2. Is the locus of a point which moves so that the difference of its distances from two fixed points is constant. A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 3. What type of conic section is this equation? $\frac{\left(x+2\right)^2}{9}+\frac{\left(y-4\right)^2}{25}=1$ A) Hyperbola. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: C) Ellipse. 4. These are curves obtained by the intersection of right circular cone and a plane. A) Parabola. B) Ellipse. C) Hyperbola. D) Conic sections. Show Answer Correct Answer: D) Conic sections. 5. Which of the following equations represent a hyperbola? A) $4x^2-4y^2+16x-16y-20=0$. B) $4x^2+4y^2+16x-16y-20=0$. C) $4x^2+8y^2+16x-16y-20=0$. D) $4x^2+16x-16y-20=0$. Show Answer Correct Answer: A) $4x^2-4y^2+16x-16y-20=0$. 6. What is the focus of a parabola? A) A point from which distances to points on the parabola are measured, lying on the axis of symmetry. B) The vertex of the parabola where it changes direction. C) A line that runs parallel to the directrix of the parabola. D) The endpoint of the latus rectum of the parabola. Show Answer Correct Answer: A) A point from which distances to points on the parabola are measured, lying on the axis of symmetry. 7. Identify the conic represented by the equation without completing the square:$x^2+16y^2-160y+384=0$ A) Parabola. B) Cirlce. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: D) Ellipse. 8. Identify the conic section $\left(y-9\right)^2=\left(x+4\right)$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: D) Parabola. 9. Write the equation of a circle with a center at (2, -3) and a radius of 4. A) $\left(x+2\right)^2+\left(y-3\right)^2=4$. B) $\left(x-2\right)^2+\left(y-3\right)^2=4$. C) $\left(x+2\right)^2+\left(y-3\right)^2=16$. D) $\left(x-2\right)^2+\left(y+3\right)^2=16$. Show Answer Correct Answer: D) $\left(x-2\right)^2+\left(y+3\right)^2=16$. 10. What is formed when the plane intersects the cones at the vertex only? A) Degenerate conics. B) A point. C) A single line. D) Intersecting lines. Show Answer Correct Answer: B) A point. 11. The standard formula for 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) $x^2+y^2+Dx+Ey+F=0$. D) $x^2-y^2+Dx+Ey+F=0$. Show Answer Correct Answer: A) $\left(x-h\right)^2+\left(y-k\right)^2=r^2$. 12. Identify the conic:6x$^{2}$ + 6y$^{2}$-3x + 4y = 0 A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Circle. 13. Identify the given conic sections that the equation represents. $16x^2+25y^2-64x-336=0$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. 14. For a parabola eccentricity $e$ A) = 1. B) $<1$. C) $>1$. D) None of the above. Show Answer Correct Answer: A) = 1. 15. Identify the given conic sections that the equation represents. $4x^2+4y^2-20x-32y+81=0$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: A) Circle. 16. All radii of a circle have equal length. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 17. How do you graph a circle given its equation in standard form? A) Connect the points on the graph to form a circle. B) Plot the center and use the radius to plot points around it to form the circle. C) Use the equation to find the slope and intercept. D) Graph the equation as a straight line. Show Answer Correct Answer: B) Plot the center and use the radius to plot points around it to form the circle. 18. Which of the following is the equation for a circle with a center at (-8, -3) and a radius of 4? A) (x-8)$^{2}$ + (y-3)$^{2}$ = 16. B) (x+8)$^{2}$ + (y-3)$^{2}$ = 4. C) (x+8)$^{2}$ + (y+3)$^{2}$ = 16. D) (x-8)$^{2}$ + (y+3)$^{2}$ = 4. Show Answer Correct Answer: C) (x+8)$^{2}$ + (y+3)$^{2}$ = 16. 19. Find the vertices:$\frac{\left(x-1\right)^2}{4}-\frac{\left(y+2\right)^2}{1}=1$ A) (3, -2) and (-1, -2). B) (1, 2) and (-1, 2). C) (1, 0) and (1, -4). D) (-1, 0) and (-1, 4). Show Answer Correct Answer: A) (3, -2) and (-1, -2). 20. What is the orientation of this ellipse? A) Horizontal. B) Vertical. C) All the above. D) None of the above. Show Answer Correct Answer: B) Vertical. 21. What is the center for the following equation? $\frac{\left(y+2\right)^2}{9}-\frac{\left(x-4\right)^2}{25}=1$ A) (2, -4). B) (-2, 4). C) (-4, -2). D) (4, -2). Show Answer Correct Answer: D) (4, -2). 22. What is the focus of the following parabola?(y + 5)$^{2 }$=-12 (x-2) A) (2, -5). B) (-5, 2). C) (1, -5 ). D) (-1, -5 ). Show Answer Correct Answer: D) (-1, -5 ). 23. What is the vertex of the parabola:y=2(x-3)$^{2}$+4 A) (3, 4). B) (-3, 4). C) (3, -4). D) (-3, -4). Show Answer Correct Answer: A) (3, 4). 24. A degenerate ellipse is represented by a line. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 25. Write an equation for the ellipse with each set of characteristics. Vertices ( 4, 3), (4, -9). Length of minor axis is 8 A) $\frac{\left(x-4\right)^2}{16}+\frac{\left(y+3\right)^2}{36}=1$. B) 16(x-4)2+36(y+3)2=1 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{\left(x-4\right)^2}{16}+\frac{\left(y+3\right)^2}{36}=1$. ← 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