This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 13 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 13 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Identify the conic section described by the equation 2x$^{2}$-4y +3x-6 = 0. A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Parabola. 2. What happens to the parabola when you multiply its equation by a number less than 1? A) Graph moves UP. B) Graph gets WIDER. C) Graph moves DOWN. D) Graph gets NARROWER. Show Answer Correct Answer: B) Graph gets WIDER. 3. A CIRCLE IS A SPECIAL TYPE OF? A) CIRCLE. B) PARABOLA. C) ELLIPSE. D) HYPERBOLA. Show Answer Correct Answer: C) ELLIPSE. 4. Write an equation for an ellipse with the given characteristics:length of major axis = 12; foci at (-2, 1) (-2, -9) A) $\frac{\left(x-3\right)^2}{25}+\frac{\left(y+6\right)^2}{9}=1$. B) $\frac{\left(x+4\right)^2}{11}+\frac{\left(y+2\right)^2}{64}=1$. C) $\frac{\left(x+2\right)^2}{11}+\frac{\left(y+4\right)^2}{36}=1$. D) $\frac{\left(x-2\right)^2}{25}-\frac{\left(y+4\right)^2}{36}=1$. Show Answer Correct Answer: C) $\frac{\left(x+2\right)^2}{11}+\frac{\left(y+4\right)^2}{36}=1$. 5. Write the equation of a parabola with a vertex at (-2, 5), that opens down, and has a focal width of 12. A) $\left(x-2\right)^2=-12\left(y+5\right)$. B) $\left(x+2\right)^2=-12\left(y-5\right)$. C) $\left(x-2\right)^2=12\left(y+5\right)$. D) $\left(x+2\right)^2=12\left(y-5\right)$. Show Answer Correct Answer: B) $\left(x+2\right)^2=-12\left(y-5\right)$. 6. Write an equation for a parabola with the given focus F and vertex V:F(2, 5) V(-1, 5) A) $\left(y-5\right)^2=-12\left(x+1\right)$. B) $\left(y-5\right)^2=12\left(x+1\right)$. C) $\left(x-5\right)^2=8\left(y+1\right)$. D) $\left(y+5\right)^2=-12\left(x-1\right)$. Show Answer Correct Answer: B) $\left(y-5\right)^2=12\left(x+1\right)$. 7. What happens to the parabola when you multiply its equation by a number bigger than 1? A) Graph moves UP. B) Graph gets WIDER. C) Graph moves DOWN. D) Graph gets NARROWER. Show Answer Correct Answer: D) Graph gets NARROWER. 8. The sum of the distances from the foci to any point on the ellipse is equivalent the length of the ..... A) Minor axis. B) Major axis. C) Covertex. D) Vertex. Show Answer Correct Answer: B) Major axis. 9. It is the distance from the center to any point of a circle. A) Focus. B) Directrix. C) Radius. D) Diameter. Show Answer Correct Answer: C) Radius. 10. State the turning point for the equation:y = (x-6)$^{2 }$-4 A) (6, -4). B) (6, 4). C) (-6, 4). D) (-6, -4). Show Answer Correct Answer: A) (6, -4). 11. These conics are formed when the cutting plane intersects the vertex of the cone. These conics are also referred to as ..... A) Plane. B) Non-Degenerate Conics. C) Cone. D) Degenerate Conics. Show Answer Correct Answer: D) Degenerate Conics. 12. Ellipses and hyperbolas have ..... directrices A) 1. B) 2. C) 3. D) 4. Show Answer Correct Answer: B) 2. 13. What best describe a LINE? A) It is formed when the intersecting plane is parallel to the edge of the cone. B) It is formed when the intersecting plane parallel to the base of the once intersects with its vertex. C) It is formed when the plane intersects the vertex of the cone and is tangent to it. D) It is formed when the plane passes through the vertex and through both cones. Show Answer Correct Answer: C) It is formed when the plane intersects the vertex of the cone and is tangent to it. 14. The endpoints of the radius of a circle is at (1, 2) and (4, 3). What is the equation that defines the circle if its center is at (4, 3)? A) $\left(x-3\right)^2+\left(y-4\right)^2=10$. B) $\left(x-3\right)^2+\left(y+4\right)^2=10$. C) $\left(x-4\right)^2+\left(y-3\right)^2=10$. D) $\left(x-4\right)^2+\left(y+3\right)^2=10$. Show Answer Correct Answer: A) $\left(x-3\right)^2+\left(y-4\right)^2=10$. 15. For an ellipse eccentricity $e$ A) = 1. B) $<1$. C) $>1$. D) None of the above. Show Answer Correct Answer: B) $<1$. 16. Identify the conic section described by the equation 6x$^{2}$ + 6y$^{2}$-3x + 4y = 0. A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Circle. 17. The parabola y = 1/2 (x + 4)$^{2}$-3 will A) Open down. B) Open up. C) All the above. D) None of the above. Show Answer Correct Answer: B) Open up. 18. Write an equation for an ellipse with the given characteristics:vertices at (7, -4) (-3, -4); foci at (6, -4) (-2, -4) A) $\frac{\left(x-2\right)^2}{25}+\frac{\left(y+4\right)^2}{9}=1$. B) $\frac{\left(x-2\right)^2}{16}+\frac{\left(y-4\right)^2}{9}=1$. C) $\frac{\left(x-2\right)^2}{25}-\frac{\left(y+4\right)^2}{9}=1$. D) $\frac{\left(x+2\right)^2}{9}+\frac{\left(y+4\right)^2}{25}=1$. Show Answer Correct Answer: A) $\frac{\left(x-2\right)^2}{25}+\frac{\left(y+4\right)^2}{9}=1$. 19. Identify the given conic sections that the equation represents. $x^2+16y+6x=y^2+119$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 20. A hyperbola is formed if the angle of the cutting plane with the vertical axis is greater than the vertex angle. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 21. Identify the eccentricity of the conic section given by the polar equation $r = \frac{3}{1 + 2\sin(\theta)}$ A) 2. B) 1.5. C) 1. D) 0.5. Show Answer Correct Answer: A) 2. 22. Find the foci of the hyperbola given by the equation $\frac{x^2}{36}-\frac{y^2}{16} = 1$ A) $(\pm \sqrt{52}, 0)$. B) $(0, \pm \sqrt{52})$. C) $(\pm \sqrt{20}, 0)$. D) $(0, \pm \sqrt{20})$. Show Answer Correct Answer: A) $(\pm \sqrt{52}, 0)$. 23. Find the length of the transverse axis of a hyperbola with eccentricity 2 and distance between foci is $4\sqrt{2}$ A) 4. B) $\frac{4}{3}\sqrt{2}$. C) 3. D) $\frac{2}{3}\sqrt{2}$. Show Answer Correct Answer: D) $\frac{2}{3}\sqrt{2}$. 24. The distance between the foci of a hyperbola is 16 and its eccentricity is 2 . Its equation is A) X$^{2}$-y$^{2}$ = 32. B) X$^{2}$ + y$^{2}$ = 32. C) 2x$^{2}$-y$^{2}$ = 7. D) None of these. Show Answer Correct Answer: A) X$^{2}$-y$^{2}$ = 32. 25. TRUE or FALSE:A circle is a special type of ellipse. 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 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