This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 5 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A symmetrical open curve formed by the intersection of the vertical axis with a plane at a smaller angle with its vertex axis are called? A) HYPERBOLA. B) PARABOLA. C) CIRCLE. D) ELLIPSE. Show Answer Correct Answer: A) HYPERBOLA. 2. Find the equation of the specified hyperbola with its center at the origin:Vertices:$\left(0, \pm2\right)$ $\left(0, \pm4\right)$ A) $\frac{y^2}{4}-\frac{x^2}{12}=1$. B) 4y2-12x2=1 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{y^2}{4}-\frac{x^2}{12}=1$. 3. What type of conic section if a plane parallel to side of cone? A) Ellipse. B) Hyperbola. C) Parabola. D) Circle. Show Answer Correct Answer: C) Parabola. 4. Write an equation for the ellipse with each set of characteristics. Then answer the question.Vertices (-7, -3), (13, -3)foci (-5, -3 ), (11, -3)What is the a and b value of the ellipse? ..... A) (x+7)$^{2}$/10 + (y+3)$^{2}$/6 = 1. B) (x-3)$^{2}$/100 + (y+3)$^{2}$/64 = 1. C) (x+7)$^{2}$/36 + (y+3)$^{2}$/100 = 1. D) (x-3)$^{2}$/100 + (y+3)$^{2}$/36 = 1. Show Answer Correct Answer: D) (x-3)$^{2}$/100 + (y+3)$^{2}$/36 = 1. 5. The vertex of the parabola is(-3, 4), opens down, and has a compression factor of 1/2. What is the equation of the parabola? A) Y-1/2(x+3)$^{2}$+ 4. B) Y = 1/2(x-3)$^{2}$ + 4. C) Y=-1/2(x-3)$^{2}$+ 4. D) Y =-3(x-1/2)$^{2}$-4. Show Answer Correct Answer: A) Y-1/2(x+3)$^{2}$+ 4. 6. What is the eccentricity of the conic section having the equation $x^2=20y$ A) 0. B) 1. C) Less than 1. D) Greater than 1. Show Answer Correct Answer: B) 1. 7. Equation of ellipse in which b = 3, c = 4, centre at the origin; foci on the x axis is A) $\frac{x^2}{9}+\frac{y^2}{25}=1$. B) $\frac{x^2}{9}-\frac{y^2}{25}=1$. C) $\frac{x^2}{25}+\frac{y^2}{9}=1$. D) None of these. Show Answer Correct Answer: C) $\frac{x^2}{25}+\frac{y^2}{9}=1$. 8. What is the equation of the directrix? (y-4)$^{2 }$=-8(x+1) A) X =-3. B) X = 1. C) Y = 6. D) Y = 2. Show Answer Correct Answer: B) X = 1. 9. If the vertex of the parabola is the point (-3, 0) and the directrix is the line x + 5 = 0, then its equation is A) Y$^{2}$ = 8 (x + 3). B) Y$^{2}$ =-8 (x + 3). C) X$^{2}$ = 8 (y + 3). D) X$^{2}$ =-8 (y + 3). Show Answer Correct Answer: A) Y$^{2}$ = 8 (x + 3). 10. The focus is inside the parabola A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 11. What direction does the parabola open? $\left(y-9\right)^2=-40\left(x+4\right)$ A) Up. B) Down. C) Left. D) Right. Show Answer Correct Answer: C) Left. 12. How do you know that if a hyperbola open up or down? A) X comes first. B) Y comes first. C) A is in the first denominator. D) B is in the first denominator. Show Answer Correct Answer: B) Y comes first. 13. If the values of a and b on an ellipse are the same, then it becomes a ..... A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: A) Circle. 14. Given a parabola with a vertex at (4, 3) and a directrix of y=1, write the equation of the parabola. A) $y=\frac{1}{8}\left(x-4\right)^2+3$. B) Y=81(x-4)2+3 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $y=\frac{1}{8}\left(x-4\right)^2+3$. 15. What is the equation of the circle? A) (x + h)$^{2}$ + (y + k)$^{2}$ = r$^{2}$. B) (x + h)$^{2}$ + (y + k)$^{2}$ = r. C) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. D) (x-h)$^{2}$ + (y-k)$^{2}$ = r. Show Answer Correct Answer: C) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. 16. Which of the following is not a conic section? A) Circle. B) Ellipse. C) Hyperbola. D) Cylinder. Show Answer Correct Answer: D) Cylinder. 17. What is a line that remain fixed in the conic section? A) GENERATOR. B) AXIS. C) VERTEX. D) CONIC SECTION. Show Answer Correct Answer: B) AXIS. 18. Identify the foci of the ellipse given by the equation $\frac{x^2}{25} + \frac{y^2}{9} = 1$ A) $(\pm 4, 0)$. B) $(\pm 5, 0)$. C) $(0, \pm 3)$. D) $(\pm \sqrt{16}, 0)$. Show Answer Correct Answer: D) $(\pm \sqrt{16}, 0)$. 19. Write an equation for the ellipse with each set of characteristics. Then answer the question.Vertices ( 4, 3), (4, -7)Length of minor axis is 8what is the center of this ellipse? A) (x-4)$^{2}$/25 + (y-3)$^{2}$/16 = 1. B) (x-4)$^{2}$/25 + (y+2)$^{2}$/64 = 1. C) (x-4)$^{2}$/4 + (y-3)$^{2}$/5 = 1. D) (x-4)$^{2}$/16 + (y+2)$^{2}$/25 = 1. Show Answer Correct Answer: D) (x-4)$^{2}$/16 + (y+2)$^{2}$/25 = 1. 20. Which parabola opens left? A) X$^{2 }$= y. B) X$^{2 }$=-y. C) Y$^{2}$ = x. D) Y$^{2}$ =-x. Show Answer Correct Answer: D) Y$^{2}$ =-x. 21. A cone is cut by a plane that is perpendicular to its base. Which of the following could be the shape of the cross-section formed? A) Circle. B) Triangle. C) Rectangle. D) Trapezoid. Show Answer Correct Answer: B) Triangle. 22. Identify the conic section described by the equation 36x$^{2}$-5y$^{2}$ + 8x + 2y + 12 = 0. A) Hyperbola. B) Parabola. C) Ellipse. D) Circle. Show Answer Correct Answer: A) Hyperbola. 23. The following are degenerate conics except: A) Point. B) Pair of intersecting lines. C) Plane. D) Single Line. Show Answer Correct Answer: C) Plane. 24. What do you call if the plane intersects the double right circular cone at its vertex:the ellipse becomes a point, the parabola becomes a line and the hyperbola becomes two intersecting lines? A) THE VERTEX ANGLE. B) TRANSFORMATION. C) DEGENERATE CONICS. D) CONIC SECTION. Show Answer Correct Answer: C) DEGENERATE CONICS. 25. What is the graph of x$^{2}$ + 4y$^{2}$-2y = 8? A) Parabola. B) Hyperbola. C) Ellipse. D) Circle. Show Answer Correct Answer: C) Ellipse. ← 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 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 10Class 11 Mathematics Chapter 11 Conic Sections Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books