This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 18 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 18 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $r=\frac{18}{2-6\\cos\theta}$ A) X =-6, ellipse. B) X = 3, parabola. C) X =-6, hyperbola. D) X =-3, hyperbola. Show Answer Correct Answer: D) X =-3, hyperbola. 2. For an ellipse, length of major axis is A) 2a. B) 2b. C) A. D) B. Show Answer Correct Answer: A) 2a. 3. If the plane passes through the vertex of the cone, the conic sections formed are called generate conics. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 4. How do you graph a hyperbola? A) Identify the center, vertices, foci, and asymptotes, then sketch the curves approaching the asymptotes. B) Draw a straight line through the center and vertices. C) Plot points randomly on the graph until a curve forms. D) Use a compass to draw a perfect circle around the center. Show Answer Correct Answer: A) Identify the center, vertices, foci, and asymptotes, then sketch the curves approaching the asymptotes. 5. What is the standard form of this equation? $25x^2-4y^2+16y-116=0$ A) $\frac{x^2}{4}-\frac{\left(y-2\right)^2}{25}=1$. B) $\frac{x^2}{4}-\frac{y^2}{25}=1$. C) $\frac{x^2}{25}-\frac{\left(y+2\right)^2}{4}=1$. D) $\frac{x^2}{4}-\frac{\left(y+2\right)^2}{25}=1$. Show Answer Correct Answer: D) $\frac{x^2}{4}-\frac{\left(y+2\right)^2}{25}=1$. 6. Identify the given conic sections that the equation represents. $9x^2-18x-43=4y^2+16y$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. 7. Identify the conic section $\frac{\left(x-4\right)^2}{25}-\frac{\left(y+1\right)^2}{16}=1$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 8. What is its eccentricity of the conic section described by the equation $\frac{x^2}{9}+\frac{y^2}{16}=1$ A) 0. B) 1. C) Less than 1. D) Greater than 1. Show Answer Correct Answer: C) Less than 1. 9. What is the equation for the foci 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$^{2}$. 10. Which equation is Vertex Form? A) Y=ax$^{2}$+bx+c. B) Y=a(x-h)$^{2}$+k. C) All the above. D) None of the above. Show Answer Correct Answer: B) Y=a(x-h)$^{2}$+k. 11. In the ellipse, $16x^2+y^2=16$ A) $2$. B) $\frac{9}{2}$. C) $\frac{1}{2}$. D) None of these. Show Answer Correct Answer: C) $\frac{1}{2}$. 12. What is the center of the circle with the equation:(x-3)$^{2}$ + (y + 5)$^{2}$ = 16? A) (3, 5). B) (-3, 5). C) (5, -3). D) (3, -5). Show Answer Correct Answer: D) (3, -5). 13. Convert the equationf(x) = x$^{2 }$-12x + 40into vertex form A) F(x) = (x + 6)$^{2 }$-4. B) F(x) = (x + 6)$^{2 }$+ 4. C) F(x) = (x-6)$^{2 }$-4. D) F(x) = (x-6)$^{2 }$+ 4. Show Answer Correct Answer: D) F(x) = (x-6)$^{2 }$+ 4. 14. Equation of the ellipse, whose length of the major axis is 20 and foci are $\left(0, \\pm5\right)$ A) $\frac{x^2}{100}+\frac{y^2}{75}=1$. B) $\frac{x^2}{75}+\frac{y^2}{100}=1$. C) $\frac{x^2}{100}+\frac{y^2}{25}=1$. D) None of these. Show Answer Correct Answer: B) $\frac{x^2}{75}+\frac{y^2}{100}=1$. 15. What is the relationship between the semi-major axis and the focal distance in an ellipse? A) C = a-b. B) C = a + b. C) $c^2=a^2-b^2$. D) $c^2=a^2+b^2$. Show Answer Correct Answer: C) $c^2=a^2-b^2$. 16. Which of the following is a point of intersection between the line x + y =1 and the ellipse x$^{2}$ + 3y$^{2}$ =21? A) (1.5, -3). B) (3, -1.5). C) (-1.5, 2.5). D) (1.5, -1.5). Show Answer Correct Answer: C) (-1.5, 2.5). 17. The endpoints of the minor axis of an ellipse are called the ..... A) Vertices. B) Covertices. C) Foci. D) Center. Show Answer Correct Answer: B) Covertices. 18. Identify the conic section being described by the general form of equation $5x^2+20x+5y^2-20y=25$ A) Circle. B) Hyperbola. C) Parabola. D) Ellipse. Show Answer Correct Answer: A) Circle. 19. Find the equation of a parabola with vertex at (-2, -8) and passes through point (-7, -6). A) Y = $^{2}$/$_{25}$(x + 2)$^{2}$-8. B) Y = $^{2}$/$_{81}$(x-2)$^{2}$-8. C) Y =-$^{2}$/$_{25}$(x + 7)$^{2}$-6. D) Y =-$^{2}$/$_{81}$(x-7)$^{2}$-6. Show Answer Correct Answer: A) Y = $^{2}$/$_{25}$(x + 2)$^{2}$-8. 20. Given a directrix of x=2 and a vertex of (4, 1) write the equation of the parabola. A) $x=\frac{1}{8}\left(y-1\right)^2+4$. B) X=81(y-1)2+4 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $x=\frac{1}{8}\left(y-1\right)^2+4$. 21. Write the equation of an ellipse with foci (-5, 2) and (3, 2) and minor axis endpoints (-1, 5) and (-1, -1) A) $\frac{\left(x+1\right)^2}{9}+\frac{\left(y-2\right)^2}{16}=1$. B) $\frac{\left(x+1\right)^2}{16}+\frac{\left(y-2\right)^2}{9}=1$. C) $\frac{\left(x+1\right)^2}{9}+\frac{\left(y-2\right)^2}{25}=1$. D) $\frac{\left(x+1\right)^2}{25}+\frac{\left(y-2\right)^2}{9}=1$. Show Answer Correct Answer: D) $\frac{\left(x+1\right)^2}{25}+\frac{\left(y-2\right)^2}{9}=1$. 22. This is the standard equation of a circle. Which of these indicate the coordinates of the center of a circle? A) ( h, k ). B) ( k, h ). C) ( h, r ). D) ( r, k ). Show Answer Correct Answer: A) ( h, k ). 23. Depending on the angle made by the plane with the vertical axis of the cone, the plane can cut the cone in HOW MANY WAYS? A) ONE. B) TWO. C) THREE. D) FOUR. Show Answer Correct Answer: C) THREE. 24. What can you get if an angle made by the plane to the vertical axis is exactly equal to the vertex angle (a=b)? A) CIRCLE. B) ELLIPSE. C) PARABOLA. D) HYPERBOLA. Show Answer Correct Answer: C) PARABOLA. 25. The center of the ellipse:$\frac{x^2}{25}+\frac{\left(y-3\right)^2}{16}=1$ A) (0, 3). B) (0, -3). C) (3, 0). D) (-3, 0). Show Answer Correct Answer: A) (0, 3). ← 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 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