This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 25 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 25 (20 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 2x$^{2}$ + 6y-9 = 0 A) Parabola Opens Up. B) Parabola Opens Down. C) Vertical Ellipse. D) Horizontal Ellipse. Show Answer Correct Answer: B) Parabola Opens Down. 2. If the plane intersects the double right circular cone at its VERTEX:THE PARABOLA BECOMES A ..... ?? A) POINTS. B) TWO INTERSECTING LINES. C) LINE. D) TRIANGLE. Show Answer Correct Answer: C) LINE. 3. Identify the conic section $\frac{\left(y-5\right)^2}{16}-\left(x+7\right)^2=1$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 4. Classify this conic:36x$^{2}$-5y$^{2}$ + 8x + 2y + 12 = 0 A) Hyperbola. B) Parabola. C) Ellipse. D) Circle. Show Answer Correct Answer: A) Hyperbola. 5. What is the length of a transverse axis? A) A. B) B. C) 2b. D) 2a. Show Answer Correct Answer: D) 2a. 6. What is the radius of the equation (x + 5)$^{2}$ + (y-10)$^{2}$ = 9? A) 4.5. B) 9. C) 3. D) 81. Show Answer Correct Answer: C) 3. 7. What is the equation of a parabola with vertex (-6, 7) and directrix x =-4? A) 4(x + 6) = (y-7)$^{2}$. B) -8(x + 6) = (y-7)$^{2}$. C) -4(y-7) = (x + 6)$^{2}$. D) -8(y-7) = (x + 6)$^{2}$. Show Answer Correct Answer: B) -8(x + 6) = (y-7)$^{2}$. 8. Identify the conic section $\left(x-2\right)^2+\left(y+4\right)^2=16$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: A) Circle. 9. Name the conic section and determine the vertices.9x$^{2}$-4y$^{2}$-54x-16y-79 = 0 A) Hyperbola; (3, 4), (3, -8). B) Hyperbola; (7, -2), (-1, -2). C) Hyperbola; (9, -2), (-3, -2). D) Hyperbola; (3, 2), (3, -6). Show Answer Correct Answer: B) Hyperbola; (7, -2), (-1, -2). 10. Identify the eccentricity for the conic section represented by $r = \frac{5}{3-2\cos(\theta)}$ A) 0.67. B) 1.5. C) 2. D) 2.5. Show Answer Correct Answer: A) 0.67. 11. Which of thefollowing center and radius gives the equation $\left(x-3\right)^2+\left(x+4\right)^2=\frac{9}{4}$ A) Center:$(-3, -4)$ $\frac{3}{2}$. B) Center:$\left(3, -4\right)$ $\frac{3}{2}$. C) Center:$(-3, -4)$ $\frac{9}{2}$. D) Center:$\left(3, -4\right)$ $\frac{9}{2}$. Show Answer Correct Answer: B) Center:$\left(3, -4\right)$ $\frac{3}{2}$. 12. The denotation used to indicate the distance from the center of an ellipse to the covertex is ..... A) A. B) B. C) C. D) F. Show Answer Correct Answer: B) B. 13. The focus is at (2, 0) and the vertex is at (-4, 0). What is the value of p. A) 6. B) -2. C) 2. D) -6. Show Answer Correct Answer: A) 6. 14. Write the equation at the origin with radius 6. A) X$^{ 2}$ + y$^{ 2}$ = 6. B) X$^{ 2}$ + y$^{ 2}$ = 36. C) X + y = 6. D) X + y = 36. Show Answer Correct Answer: B) X$^{ 2}$ + y$^{ 2}$ = 36. 15. Write the equation of a parabola with a focus at (1, 2) and a directrix of $x=-3$ A) $\left(y-2\right)^2=8\left(x+1\right)$. B) $\left(y+2\right)^2=8\left(x-1\right)$. C) $\left(x+1\right)^2=8\left(y-2\right)$. D) $\left(x-1\right)^2=8\left(y+2\right)$. Show Answer Correct Answer: A) $\left(y-2\right)^2=8\left(x+1\right)$. 16. What do you call the intersection of a plane and a right circular cone? A) Sonic section. B) Conic section. C) Tonic section. D) Tronix section. Show Answer Correct Answer: B) Conic section. 17. Y =-8(x+1)$^{2}$-2What direction does this parabola open? A) Up. B) Down. C) Left. D) Right. Show Answer Correct Answer: B) Down. 18. Write the equation of an ellipse with major axis endpoints of (-1, 1) and (-1, -5) and a minor axis length of 4. A) $\frac{\left(x+1\right)^2}{9}+\frac{\left(y+2\right)^2}{4}=1$. B) $\frac{\left(x+1\right)^2}{4}+\frac{\left(y+2\right)^2}{9}=1$. C) $\frac{\left(x+1\right)^2}{9}-\frac{\left(y+2\right)^2}{4}=1$. D) $\frac{\left(x+1\right)^2}{4}-\frac{\left(y+2\right)^2}{9}=1$. Show Answer Correct Answer: B) $\frac{\left(x+1\right)^2}{4}+\frac{\left(y+2\right)^2}{9}=1$. 19. Find the center:$\frac{\left(x-1\right)^2}{4}-\frac{\left(y+2\right)^2}{1}=1$ A) (1, -2). B) (-1, 2). C) (-2, 1). D) (2, -1). Show Answer Correct Answer: A) (1, -2). 20. Which of the following conic sections formed when the plane is parallel to the generating line of one cone? A) Parabola. B) Hyperbola. C) Circle. D) Ellipse. Show Answer Correct Answer: A) Parabola. ← PreviousRelated 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