This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 10 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 10 (49 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the value of p? (y-4)$^{2 }$=-8(x+1) A) 4. B) -8. C) 2. D) -32. Show Answer Correct Answer: C) 2. 2. Find the radius of the circle:$-6x+x^2=97+10y-y^2$ A) $\sqrt{131}$. B) 131 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\sqrt{131}$. 3. What is formed when the plane intersects tangent to the cones? A) Degenerate conics. B) A point. C) Intersecting lines. D) A single line. Show Answer Correct Answer: D) A single line. 4. Set of points equidistant to the center A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Circle. 5. Identify the conic represented by the equation without completing the square:$y^2+4x+2y-15=0$ A) Parabola. B) Cirlce. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: A) Parabola. 6. 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 are the a and b values? A) A = 36, b = 16. B) A = 6, b = 3. C) A = 6, b = 4. D) A = 4, b = 6. Show Answer Correct Answer: C) A = 6, b = 4. 7. An ellipse has a center at the origin and vertices at (-4, 0), (0, 2), (4, 0), and (0, -2). Is the major axis horizontal or vertical? A) Horizontal. B) Vertical. C) Neither. D) None of the above. Show Answer Correct Answer: A) Horizontal. 8. Identify the conic:4x$^{2}$-5y$^{2}$ + 2x-8y + 10 = 0 A) Hyperbola. B) Circle. C) Parabola. D) Ellipse. Show Answer Correct Answer: A) Hyperbola. 9. The general form ofa circle. A) $x^2+y^2+Dx+Ey+F=0$. B) $\left(x+h\right)^2-\left(y+k\right)^2=r^2$. C) $\left(x-h\right)^2+\left(y-k\right)^2=r^2$. D) $x^2-y^2+Dx+Ey+F=0$. Show Answer Correct Answer: A) $x^2+y^2+Dx+Ey+F=0$. 10. What equation is used to find foci points on a hyperbola A) $c^2=a^2-b^2$. B) $c^2=a^2+b^2$. C) All the above. D) None of the above. Show Answer Correct Answer: B) $c^2=a^2+b^2$. 11. Identify the given conic sections that the equation represents. $-x^2+10x+y-21=0$ A) Ellipse. B) Circle. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. 12. $\frac{x^2}{25}+\frac{y^2}{4}=1$ A) C:(0, 0), a=5, b=2. B) C:(0, 0), a=2, b=5. C) C:(0, 0), a=25, b=4. D) C:(0, 0), a=5, b=4. Show Answer Correct Answer: A) C:(0, 0), a=5, b=2. 13. A parabola has a vertex at (-3, 2). What is the equation of the axis of symmetry? A) Y =-2. B) Y = 2. C) X = 3. D) X =-3. Show Answer Correct Answer: D) X =-3. 14. Does the line $2y-5x+4=0$ $x^2+y^2+3x-2y+2=0$ A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 15. An ..... is the set of all points whose sum from two fixed points is constant A) Ellipse. B) Parabola. C) Circle. D) Hyperbola. Show Answer Correct Answer: A) Ellipse. 16. 36x$^{2}$-5y$^{2}$ + 8x + 2y + 12 = 0 A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 17. If the plane intersects the cone at an angle to the x-axis (tilted) to form a bounded curve, then the conic section is a/an ..... A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. 18. Identify the conic represented by the equation without completing the square:$4x^2-9y^2-8x+12y-144=0$ A) Hyperbola. B) Cirlce. C) Parabola. D) Ellipse. Show Answer Correct Answer: A) Hyperbola. 19. Find the standard form of the hyperbola given $4x^2-y^2+72x+20y+160=0$ A) $\frac{\left(x+9\right)^2}{16}-\frac{\left(y-10\right)^2}{64}=1$. B) $\frac{\left(x+9\right)^2}{16}-\left(y-10\right)^2=1$. C) $\frac{\left(x+9\right)^2}{64}-\frac{\left(y-10\right)^2}{16}=1$. D) $\frac{\left(y-10\right)^2}{16}-\frac{\left(x+9\right)^2}{64}=1$. Show Answer Correct Answer: A) $\frac{\left(x+9\right)^2}{16}-\frac{\left(y-10\right)^2}{64}=1$. 20. Given:Circle P has a center at (4, -4)Given:(1, 0) is a point on the circleDetermine the diameter of circle P? A) 12 units. B) 10 units. C) 5 units. D) 4 units. Show Answer Correct Answer: B) 10 units. 21. Identify the conic section described by the equation 4x$^{2}$-5y$^{2}$ + 2x-8y + 10 = 0. A) Circle. B) Hyperbola. C) Parabola. D) Ellipse. Show Answer Correct Answer: B) Hyperbola. 22. Which is the equation of a parabola that opens downward and has axis of symmetry x =-1? A) Y =-(x-1)$^{2}$ + 2. B) Y = (x + 1)$^{2}$ + 2. C) Y =-(x + 1)$^{2}$ + 2. D) Y = (x-1)$^{2}$ + 2. Show Answer Correct Answer: C) Y =-(x + 1)$^{2}$ + 2. 23. Which of the following is true about the unit circle? A) It's a Center is (0, 0) and its radius is 1. B) It's a Center is (1, 1) and its radius is 0. C) It's a Center is (1, 0) and its radius is 1. D) It's a Center is (0, 1) and its radius is 0. Show Answer Correct Answer: A) It's a Center is (0, 0) and its radius is 1. 24. The slope of the asymptotes of hyperbola with vertices at (2, 10) and (32, 10) and foci at (0, 10) and (34, 10) A) $m=\pm\frac{8}{15}$. B) $m=\pm\frac{15}{17}$. C) $m=\pm\frac{17}{15}$. D) $m=\pm\frac{15}{8}$. Show Answer Correct Answer: A) $m=\pm\frac{8}{15}$. 25. How far is the vertex from the focus? $-\frac{1}{12}\left(y-2\right)^2-3=x$ A) -3. B) 4. C) 3. D) 12. Show Answer Correct Answer: C) 3. 26. What is the axis of symmetry? $-\frac{1}{12}\left(y-2\right)^2-3=x$ A) Y=-3. B) X=-3. C) X=2. D) Y=2. Show Answer Correct Answer: D) Y=2. 27. If the parabola y$^{2}$ = 4ax passes through the point (3, 2), then the length of its latus rectum is A) 1/3. B) 4/3. C) 2/3. D) 4. Show Answer Correct Answer: B) 4/3. 28. What is the length of the latus rectum of the parabola $y^2-12x+24=0$ A) 9. B) 6. C) 3. D) 12. Show Answer Correct Answer: D) 12. 29. From an equation, the distance among the center of the ellipse and a focus: A) Value of a. B) Value of h. C) Value of b. D) Value of c. E) Value of k. Show Answer Correct Answer: D) Value of c. 30. The foci of an ellipse are located at (-2, 3) & (2, 3), where is the center? A) (2, 0). B) (-2, 0). C) (0, 3). D) (3, 0). Show Answer Correct Answer: C) (0, 3). 31. 2x$^{2}$ + 6y-9 = 0 A) Horizontal Ellipse. B) Vertical Ellipse. C) Parabola Opens Up. D) Parabola Opens Down. Show Answer Correct Answer: D) Parabola Opens Down. 32. If the plane intersects the double right circular cone at its VERTEX:THE PARABOLA BECOMES A ..... ?? A) TRIANGLE. B) POINTS. C) TWO INTERSECTING LINES. D) LINE. Show Answer Correct Answer: D) LINE. 33. Identify the conic section $\frac{\left(y-5\right)^2}{16}-\left(x+7\right)^2=1$ A) Hyperbola. B) Parabola. C) Ellipse. D) Circle. Show Answer Correct Answer: A) Hyperbola. 34. What is the length of a transverse axis? A) B. B) A. C) 2a. D) 2b. Show Answer Correct Answer: C) 2a. 35. What is the radius of the equation (x + 5)$^{2}$ + (y-10)$^{2}$ = 9? A) 3. B) 4.5. C) 9. D) 81. Show Answer Correct Answer: A) 3. 36. What is the equation of a parabola with vertex (-6, 7) and directrix x =-4? A) -4(y-7) = (x + 6)$^{2}$. B) -8(y-7) = (x + 6)$^{2}$. C) -8(x + 6) = (y-7)$^{2}$. D) 4(x + 6) = (y-7)$^{2}$. Show Answer Correct Answer: C) -8(x + 6) = (y-7)$^{2}$. 37. Identify the conic section $\left(x-2\right)^2+\left(y+4\right)^2=16$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: A) Circle. 38. Name the conic section and determine the vertices.9x$^{2}$-4y$^{2}$-54x-16y-79 = 0 A) Hyperbola; (7, -2), (-1, -2). B) Hyperbola; (9, -2), (-3, -2). C) Hyperbola; (3, 2), (3, -6). D) Hyperbola; (3, 4), (3, -8). Show Answer Correct Answer: A) Hyperbola; (7, -2), (-1, -2). 39. Identify the eccentricity for the conic section represented by $r = \frac{5}{3-2\cos(\theta)}$ A) 2.5. B) 0.67. C) 2. D) 1.5. Show Answer Correct Answer: B) 0.67. 40. Which of thefollowing center and radius gives the equation $\left(x-3\right)^2+\left(x+4\right)^2=\frac{9}{4}$ A) Center:$\left(3, -4\right)$ $\frac{9}{2}$. B) Center:$(-3, -4)$ $\frac{3}{2}$. C) Center:$\left(3, -4\right)$ $\frac{3}{2}$. D) Center:$(-3, -4)$ $\frac{9}{2}$. Show Answer Correct Answer: C) Center:$\left(3, -4\right)$ $\frac{3}{2}$. 41. The denotation used to indicate the distance from the center of an ellipse to the covertex is ..... A) C. B) B. C) F. D) A. Show Answer Correct Answer: B) B. 42. The focus is at (2, 0) and the vertex is at (-4, 0). What is the value of p. A) 2. B) -2. C) 6. D) -6. Show Answer Correct Answer: C) 6. 43. Write the equation at the origin with radius 6. A) X + y = 6. B) X + y = 36. C) X$^{ 2}$ + y$^{ 2}$ = 6. D) X$^{ 2}$ + y$^{ 2}$ = 36. Show Answer Correct Answer: D) X$^{ 2}$ + y$^{ 2}$ = 36. 44. 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) $\left(x+1\right)^2=8\left(y-2\right)$. C) $\left(x-1\right)^2=8\left(y+2\right)$. D) $\left(y-2\right)^2=8\left(x+1\right)$. Show Answer Correct Answer: D) $\left(y-2\right)^2=8\left(x+1\right)$. 45. What do you call the intersection of a plane and a right circular cone? A) Tronix section. B) Tonic section. C) Conic section. D) Sonic section. Show Answer Correct Answer: C) Conic section. 46. Y =-8(x+1)$^{2}$-2What direction does this parabola open? A) Up. B) Right. C) Down. D) Left. Show Answer Correct Answer: C) Down. 47. 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) $\frac{\left(x+1\right)^2}{9}-\frac{\left(y+2\right)^2}{4}=1$. C) $\frac{\left(x+1\right)^2}{4}-\frac{\left(y+2\right)^2}{9}=1$. D) $\frac{\left(x+1\right)^2}{4}+\frac{\left(y+2\right)^2}{9}=1$. Show Answer Correct Answer: D) $\frac{\left(x+1\right)^2}{4}+\frac{\left(y+2\right)^2}{9}=1$. 48. Find the center:$\frac{\left(x-1\right)^2}{4}-\frac{\left(y+2\right)^2}{1}=1$ A) (2, -1). B) (1, -2). C) (-2, 1). D) (-1, 2). Show Answer Correct Answer: B) (1, -2). 49. 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 QuizzesScience QuizzesClass 11 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 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books