This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 7 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Write an equation for the ellipse with each set of characteristics. Then answer the question.Vertices ( 4, 3), (4, -9)Length of minor axis is 8what is the center of this ellipse? A) (4, 6). B) (-4, 3). C) (6, 4). D) (4, -3). Show Answer Correct Answer: D) (4, -3). 2. Which conic is described by (x-4)$^{2}$ = 8(y-3)? A) Hyperbola. B) Ellipse. C) Circle. D) Parabola. Show Answer Correct Answer: D) Parabola. 3. What do you call the intersection of a plane with a cone? A) Circle. B) Analytic Geometry. C) Conic Sections. D) Degenerate Cases. Show Answer Correct Answer: C) Conic Sections. 4. What is the equation of a circle whose diameter is 24 and whose center is at the origin? A) X$^{2}$+y$^{2}$=125. B) X$^{2}$+y$^{2}$=64. C) X$^{2}$+y$^{2}$=144. D) X$^{2}$+y$^{2}$=576. Show Answer Correct Answer: C) X$^{2}$+y$^{2}$=144. 5. X= 1/4(y-5)$^{2}$-2What are the coordinates for the focus? A) (1, 5). B) (2, 6). C) (-2, 5). D) (-1, 5). Show Answer Correct Answer: D) (-1, 5). 6. (x)$^{2}$ =-4yWhat is the equation of the directrix? A) X = 1. B) X =-1. C) Y =-1. D) Y = 1. Show Answer Correct Answer: D) Y = 1. 7. What is the distance between the two foci? $\frac{\left(x+4\right)^2}{36}-\frac{\left(y-5\right)^2}{4}=1$ A) $2\sqrt{10}$. B) $4\sqrt{10}$. C) $4\sqrt{2}$. D) $8\sqrt{2}$. Show Answer Correct Answer: B) $4\sqrt{10}$. 8. Which correctly describes the parabola:$x=7\left(y-6\right)^2-2$ A) Opens left. B) Opens right. C) Opens up. D) Opens down. Show Answer Correct Answer: B) Opens right. 9. A conic section defines a set of all points in a plane, the difference 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: D) Hyperbola. 10. There are ..... types of conic sections. A) 1. B) 2. C) 3. D) 4. Show Answer Correct Answer: D) 4. 11. Identify the conic section described by the equation 6y$^{2}$-5x-2y + 5 = 0. A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Parabola. 12. The focus is at (-8, -39/4) and the vertex is at (-8, -10). What is the equation of the parabola? A) Y=(x+8)$^{2}$-10. B) Y=(x+11)$^{2}$+7. C) Y=-(x+8)$^{2}$-10. D) Y=(-x+11)$^{2}$-10. Show Answer Correct Answer: A) Y=(x+8)$^{2}$-10. 13. The straight line which runs from the apex of the cone to the base A) VERTEX ANGLE. B) GENERATOR. C) DOUBLE RIGHT CIRCULAR CONE. D) THE NAPPE. Show Answer Correct Answer: B) GENERATOR. 14. Which of these is not a conic section? A) Ellipse. B) Hyperbola. C) Rectangle. D) Parabola. Show Answer Correct Answer: C) Rectangle. 15. What do you call theset of all points in a plane that are the same distance from a given point? A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: A) Circle. 16. $\frac{x^2}{16}+\frac{y^2}{25}=1$ A) 4. B) 5. C) 16. D) 25. Show Answer Correct Answer: A) 4. 17. What type of conic section is represented by the polar equation $r = \frac{4}{3 + \sin(\theta)}$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. 18. Identify the conic section:$-6x^2+4y^2+9x+y+7=0$ A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 19. An ellipse degenerates into a line segment if A) C=0. B) C=a. C) All the above. D) None of the above. Show Answer Correct Answer: B) C=a. 20. The focus is at (2, 0) and the vertex is at (-4, 0). What is the equation of the parabola? A) Y$^{2}$ = 24(x+4). B) (y+4)$^{2}$ =-12x. C) X$^{2}$ = 16(y+4). D) (x+4)$^{2}$ =-20y. Show Answer Correct Answer: A) Y$^{2}$ = 24(x+4). 21. For the ellipse located at $\frac{\left(x\right)^2}{25}+\frac{\left(y\right)^2}{4}=1$ A) $\left(\pm\sqrt{29}, 0\right)$. B) $\left(0, \\pm\sqrt{29}\right)$. C) $\left(\pm\sqrt{21}, 0\right)$. D) $\left(0, \\pm\sqrt{21}\right)$. Show Answer Correct Answer: C) $\left(\pm\sqrt{21}, 0\right)$. 22. It is a locus of points in a given distance from one point called the center. A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: B) Circle. 23. Write an equation for the ellipse with each set of characteristics. Then answer the question.Vertices ( 4, 3), (4, -9)Length of minor axis is 8what type of an ellipse has the following characteristics? A) Vertical. B) Horizontal. C) All the above. D) None of the above. Show Answer Correct Answer: A) Vertical. 24. HYPERBOLA HAS HOW MANY DISJOINT CURVES?? A) 1. B) 2. C) 3. D) 4. Show Answer Correct Answer: B) 2. 25. Equation of a circle which passes through (3, 6) and touches the axes is A) X$^{2 }$ + y$^{2}$ + 6x + 6y + 3 = 0. B) X$^{2}$ + y$^{2}$-6x-6y + 9 = 0. C) X$^{2}$ + y$^{2}$-6x-6y-9 = 0. D) None of these. Show Answer Correct Answer: B) X$^{2}$ + y$^{2}$-6x-6y + 9 = 0. ← 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 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