This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 4 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the equation of the ellipse that has a horizontal semi-major axis of length five, and a semi-minor axis of length 3, that is centered at the point (6, -7)? A) $\frac{\left(x-6\right)^2}{25}+\frac{\left(y+7\right)^2}{9}=1$. B) 25(x-6)2+9(y+7)2=1 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{\left(x-6\right)^2}{25}+\frac{\left(y+7\right)^2}{9}=1$. 2. How will you know if an ellipse is vertical? A) The denominators will all be the same. B) The bigger denominator will be under the x. C) The bigger denominator will be under the y. D) None of the above. Show Answer Correct Answer: C) The bigger denominator will be under the y. 3. In which conic section is a always first? A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 4. The following is a:$\frac{\left(y-2\right)^2}{4}-\frac{\left(x+3\right)^2}{9}=1$ A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: C) Hyperbola. 5. Find the length of the semi-major axis of an ellipse with the following properties:eccentricity = 1/3 Distance between foci is 2. A) 6. B) 4. C) 3. D) 1. Show Answer Correct Answer: C) 3. 6. Find the equation of a parabola that passes through point (2, 1) with vertex (0, 0). A) Y =-$^{1}$/$_{4}$x$^{2 }$-2. B) Y =-$^{1}$/$_{4}$x$^{2}$ + 2. C) Y = $^{1}$/$_{4}$x$^{2}$ + 2. D) Y = 1$^{1}$/$_{4}$x$^{2 }$-2. Show Answer Correct Answer: B) Y =-$^{1}$/$_{4}$x$^{2}$ + 2. 7. Conic sections are the curves obtained by intersecting a ..... and a right circular cone. A) Angle. B) Side. C) Plane. D) Axis. Show Answer Correct Answer: C) Plane. 8. Write an equation for the hyperbola with the given characteristics:vertices (3, 0) (-3, 0); asymptotes $y=\pm\frac{2}{3}x$ A) $\frac{x^2}{3}-\frac{y^2}{5}=1$. B) $\frac{x^2}{64}-\frac{y^2}{25}=1$. C) $\frac{y^2}{4}-\frac{x^2}{16}=1$. D) $\frac{x^2}{9}-\frac{y^2}{4}=1$. Show Answer Correct Answer: D) $\frac{x^2}{9}-\frac{y^2}{4}=1$. 9. Which of the following is not a degenerate conic? A) A point. B) A straight line. C) Two intersecting lines. D) Three straight lines. Show Answer Correct Answer: D) Three straight lines. 10. Which direction would this parabola face? $-\frac{1}{12}\left(y-2\right)^2-3=x$ A) Open Up. B) Open Down. C) Open Left. D) Open Right. Show Answer Correct Answer: C) Open Left. 11. Write the equation of a circle in standard form:center:$\left(14, 17\right)$ $\left(15, 17\right)$ A) $\left(x-14\right)^2+\left(y-17\right)^2=1$. B) (x-14)2+(y-17)2=1 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x-14\right)^2+\left(y-17\right)^2=1$. 12. What best describe a POINT? 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: B) It is formed when the intersecting plane parallel to the base of the once intersects with its vertex. 13. What is the directrix of a parabola? A) A fixed point used in the definition of the parabola. B) A fixed line used in the definition of the parabola. It is perpendicular to the axis of symmetry and is located at a distance from the vertex. C) The vertex of the parabola itself. D) The focus of the parabola. Show Answer Correct Answer: B) A fixed line used in the definition of the parabola. It is perpendicular to the axis of symmetry and is located at a distance from the vertex. 14. Which way does the parabola below open? (x+3)$^{2}$ = 4(y+5) A) Up. B) Down. C) Left. D) Right. Show Answer Correct Answer: A) Up. 15. What type of conic section is described by the polar equation $r = \frac{3}{2 + 2\sin(\theta)}$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. 16. Which conic section is described by the equation x$^{2 }$+ 9y$^{2 }$= 9? A) Circle. B) Parabola. C) Hyberbola. D) Ellipse. Show Answer Correct Answer: D) Ellipse. 17. Which of the following is a set of points that are equidistant from a certain point? A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: A) Circle. 18. Find the center of the parabola $y^2+x+y=0$ A) (1, -1). B) $\left(\frac{1}{4}, \frac{-1}{2}\right)$. C) $\left(\frac{-1}{2}, \frac{1}{4}\right)$. D) $\left(1, \frac{-1}{2}\right)$. Show Answer Correct Answer: B) $\left(\frac{1}{4}, \frac{-1}{2}\right)$. 19. These are curves obtained by intersecting a plane and a right circular cone. A) Cross Sections. B) Conic Sections. C) Circles. D) Parabolas. Show Answer Correct Answer: B) Conic Sections. 20. Which shape graph would the equation make? $-5x^2+4y^2-2x+5x-19=0$ A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 21. When x part is squared, the parabola open up or down A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 22. What is a conic section? A) An intersection between a plane and a double-napped cone. B) An intersection between a line and a double-napped cone. C) An intersection between a plane and a cylinder. D) An intersection between a plane and a sphere. Show Answer Correct Answer: A) An intersection between a plane and a double-napped cone. 23. If the plane intersects the double right circular cone at its VERTEX:THE HYPERBOLA BECOMES A ..... ?? A) INFINITE LINE. B) POINT. C) LINES. D) TWO INTERSECTING LINES. Show Answer Correct Answer: D) TWO INTERSECTING LINES. 24. What is the directrix of the parabola(x-4)$^{2 }$= 8(y + 3)? A) Y =-3. B) X= 5. C) Y=-5. D) Y= 2. Show Answer Correct Answer: C) Y=-5. 25. What is the equation for the focus points on an ELLIPSE? A) C$^{2}$ = a$^{2}$ + b$^{2}$. B) C$^{2}$ = a$^{2}$-b$^{2}$. C) 1/4d. D) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. Show Answer Correct Answer: B) C$^{2}$ = a$^{2}$-b$^{2}$. ← 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 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 10Class 11 Mathematics Chapter 11 Conic Sections Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books