This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 21 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 21 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. It is a regular oval shape, traced by a point moving in a plane so that the sum of its distances from two other points (the foci) is constant. A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: D) Ellipse. 2. The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half of the distance between the foci is A) $\frac{4}{3}$. B) $\frac{4}{\sqrt{3}}$. C) $\frac{2}{\sqrt{3}}$. D) None of these. Show Answer Correct Answer: C) $\frac{2}{\sqrt{3}}$. 3. The center of the circle $4x^2+4y^2-8x+12y-25=0$ A) (2, -3). B) (-2, 3). C) (-4, 6). D) (4, -6). Show Answer Correct Answer: A) (2, -3). 4. Which of the following conic sections with $e<1$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 5. What is the center of this equation(x-3)$^{2}$ + (y + 2)$^{2}$ = 16 A) (-3, 2). B) (3, 2). C) (-3, -2). D) (3, -2). Show Answer Correct Answer: D) (3, -2). 6. If a is negative, the parabola opens ..... A) Up/right. B) Down/left. C) All the above. D) None of the above. Show Answer Correct Answer: B) Down/left. 7. Which of the following parabola whose curve opens downward? A) $\left(y-k\right)^2=4p\left(x-h\right)$. B) $\left(y-k\right)^2=-4p\left(x-h\right)$. C) $\left(x-h\right)^2=4p\left(y-k\right)$. D) $\left(x-h\right)^2=-4p\left(y-k\right)$. Show Answer Correct Answer: D) $\left(x-h\right)^2=-4p\left(y-k\right)$. 8. Find the eccentricity of the conic section given by $r = \frac{2}{1-\cos(\theta)}$ A) 1. B) 1.5. C) 2. D) 2.5. Show Answer Correct Answer: A) 1. 9. If the directrix is y = 4 and the focus is at (3, 0), the vertex of the parabola is: A) (3, 0). B) (3, 2). C) (3.5, 0). D) (0, 3.5). Show Answer Correct Answer: B) (3, 2). 10. X + 3 = (y-1)$^{2}$ A) Parabola Opens Up. B) Parabola Opens Down. C) Parabola Opens Right. D) Parabola Opens Left. Show Answer Correct Answer: C) Parabola Opens Right. 11. Given the equation x$^{2 }$+ 8y$^{2 }$-10x + 3y + 10 = 0, what type of conic section is this? A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: A) Ellipse. 12. (y)$^{2}$ =-8xWhat are the coordinates for the focus? A) (0, -2). B) (2, 0). C) (0, 2). D) (-2, 0). Show Answer Correct Answer: D) (-2, 0). 13. 25x$^{2}$ + 5y$^{2}$ + 6x + 4y +2 = 0 A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 14. Determine another point on the parabola with an axis of symmetry at x =-2 and a point (-1, -7). A) (0, -7). B) (-3, -7). C) (5, -7). D) (-2, -7). Show Answer Correct Answer: B) (-3, -7). 15. What is the fixed point that joined two cones in a double right circular cone called? A) ELLIPSE. B) AXIS. C) GENERATOR. D) VERTEX. Show Answer Correct Answer: D) VERTEX. 16. What is the definition of a vertex in a hyperbola? A) A point where the hyperbola intersects its transverse axis. B) A point where the hyperbola intersects its conjugate axis. C) The center point of the hyperbola. D) A point at infinity on the hyperbola. Show Answer Correct Answer: A) A point where the hyperbola intersects its transverse axis. 17. The endpoints of the major axis of an ellipse are called the ..... A) Vertices. B) Covertices. C) Foci. D) Center. Show Answer Correct Answer: A) Vertices. 18. Which shape graph would the equation make? $4x^2+6y-19=0$ A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: B) Parabola. 19. Write the standard form equation of the hyperbola that has vertices at (-2, -3) and (-8, -3) and an asymptote of $y+3=\frac{8}{3}\left(x+5\right)$ A) $\frac{\left(x+5\right)^2}{64}-\frac{\left(y+3\right)^2}{9}=1$. B) $\frac{\left(y+3\right)^2}{9}-\frac{\left(x+5\right)^2}{64}=1$. C) $\frac{\left(y+3\right)^2}{64}-\frac{\left(x+5\right)^2}{9}=1$. D) $\frac{\left(x+5\right)^2}{9}-\frac{\left(y+3\right)^2}{64}=1$. Show Answer Correct Answer: D) $\frac{\left(x+5\right)^2}{9}-\frac{\left(y+3\right)^2}{64}=1$. 20. A hyperbola is the set of points in a plane whose distancesfrom two fixed points in the plane have a constant difference. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 21. Find the sector area of circle with the following:Diameter:22 cmArc Measure:90 degrees A) 94.985 cm$^{2}$. B) 8.635 cm$^{2}$. C) 379.94 cm$^{2}$. D) 17.27 cm$^{2}$. Show Answer Correct Answer: A) 94.985 cm$^{2}$. 22. The eccentricity of the ellipse if the minor axis is equal to the distance between the foci is A) $\frac{\sqrt{3}}{2}$. B) $\frac{2}{\sqrt{3}}$. C) $\frac{1}{\sqrt{2}}$. D) $\frac{\sqrt{2}}{3}$. Show Answer Correct Answer: C) $\frac{1}{\sqrt{2}}$. 23. What is the equation of a circle with radius 4 and center (0, 8)? A) X$^{2}$ + (y-8)$^{2}$ = 16. B) (x-8)$^{2}$ + y$^{2}$ = 4. C) X$^{2}$ + (y-8)$^{2}$ = 4. D) X$^{2}$ + (y+8)$^{2}$ = 16. Show Answer Correct Answer: A) X$^{2}$ + (y-8)$^{2}$ = 16. 24. Diameter is ..... A) The length from one edge of the circle to the middle. B) The length from one edge of the circle to the other and goes across the middle. C) The the length around the circle. D) The size of the circle. Show Answer Correct Answer: B) The length from one edge of the circle to the other and goes across the middle. 25. Which conic section does the equation $r = \frac{5}{3 +\cos(\theta)}$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. ← 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