This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 23 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 23 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the radius of the circle indicated by the equation (x-2)$^{2}$+ y$^{2 }$= 36? A) 6. B) -6. C) 36. D) -36. Show Answer Correct Answer: A) 6. 2. Find the foci of the of the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$ A) (0, -3) & (0, 3). B) (0, -9) & (0, 9). C) (-3, 0) & (3, 0). D) (-9, 0) & (9, 0). Show Answer Correct Answer: C) (-3, 0) & (3, 0). 3. A curve called a Conic Section is made if the Plane Intersect a Double Left circular cone and gets three-dimensional curves of different types?? A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 4. It is the intersection of a plane and a double-napped cone A) Locus. B) Circle. C) Conic section. D) Radius. Show Answer Correct Answer: C) Conic section. 5. 6x$^{2}$ + 6y$^{2}$-3x + 4y = 0 A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Circle. 6. Which conic's equation has 2 squares with opposite signs? A) Parabola. B) Circle. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 7. What is the center of the circle given by the equation $(x-7)^2+(y+1)^2=36$ A) $\left(-7, -1\right)$. B) $\left(1, -7\right)$. C) $\left(7, -1\right)$. D) $\left(-1, 7\right)$. Show Answer Correct Answer: C) $\left(7, -1\right)$. 8. Write an equation for this parabola:focus (3, 2)directrix y = 8 A) $y=-\frac{1}{12}\left(x-3\right)^2+5$. B) $y=-\frac{1}{24}\left(x-3\right)^2+2$. C) $x=-\frac{1}{12}\left(y-3\right)^2+5$. D) $x=-\frac{1}{24}\left(y-3\right)^2+2$. Show Answer Correct Answer: A) $y=-\frac{1}{12}\left(x-3\right)^2+5$. 9. Which shape graph would the equation make? $x^2+4y^2-2x+5x-19=0$ A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: C) Ellipse. 10. (y-4)$^{2}$ =-8(x+1)What are the coordinates for the focus? A) (1, 4). B) (-1, 6). C) (-1, 2). D) (-3, 4). Show Answer Correct Answer: D) (-3, 4). 11. Which of the following is the general equation of the hyperbola? A) $Ax^2+By^2+Cx+Dy+E=0$. B) $Ax^2-By^2+Cx+Dy+E=0$. C) $Ax^2+Ay^2+Cx+Dy+E=0$. D) $Ax^2+Cx+Dy+E=0$. Show Answer Correct Answer: B) $Ax^2-By^2+Cx+Dy+E=0$. 12. Determine the centre and radius of a circle $x^2-6x+y^2+4y+4=0$ A) Centre (-2, 3) and radius = 3. B) Centre (4, -6) and radius = 9. C) Centre (-6, 4) and radius = 9. D) Centre (3, -2) and radius = 3. Show Answer Correct Answer: D) Centre (3, -2) and radius = 3. 13. What is the focal width? $-\frac{1}{12}\left(y-2\right)^2-3=x$ A) 3. B) 12. C) -3. D) 4. Show Answer Correct Answer: B) 12. 14. The equation 6x$^{2}$ + 6y$^{2}$-3x + 4y = 0 will be a ..... A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Circle. 15. What is the equation describing the relationship between dimensions and foci of a hyperbola? A) C$^{2}$ = a$^{2}$ + b$^{2}$. B) C$^{2}$ = a$^{2}$-b$^{2}$. C) 4p. D) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. Show Answer Correct Answer: A) C$^{2}$ = a$^{2}$ + b$^{2}$. 16. Which of the following represents a circle centered at the origin with radius 6? A) $x^2+y^2=36$. B) $x^2+y^2=12$. C) $\left(x+6\right)+\left(y+6\right)^2=0$. D) $\left(x-6\right)+\left(y-6\right)^2=36$. Show Answer Correct Answer: A) $x^2+y^2=36$. 17. Write an equation for the hyperbola with the given characteristics:foci (8, 0) (8, 8); vertices (8, 2) (8, 6) A) $\frac{\left(y-4\right)^2}{2}-\frac{\left(x-5\right)^2}{7}=1$. B) $\frac{\left(y-4\right)^2}{4}-\frac{\left(x-8\right)^2}{12}=1$. C) $\frac{\left(y-5\right)^2}{4}-\frac{\left(x-2\right)^2}{12}=1$. D) $\frac{\left(y-4\right)^2}{4}-\frac{\left(x-8\right)^2}{12}=1$. Show Answer Correct Answer: B) $\frac{\left(y-4\right)^2}{4}-\frac{\left(x-8\right)^2}{12}=1$. 18. Identify the conic section A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 19. What do you call theset of all points P in a plane such that the differences of the distances fromP to two fixed points is a constant? A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 20. What is the value of p? (y-4)$^{2 }$=-8(x+1) A) -8. B) 2. C) 4. D) -32. Show Answer Correct Answer: B) 2. 21. 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) $\sqrt{131}$. 22. What is formed when the plane intersects tangent to the cones? A) Degenerate conics. B) A point. C) A single line. D) Intersecting lines. Show Answer Correct Answer: C) A single line. 23. Set of points equidistant to the center A) Circle. B) Hyperbola. C) Ellipse. D) Parabola. Show Answer Correct Answer: A) Circle. 24. In a vertical parabola, which coordinate changes from the vertex to the focus? A) $y$. B) Y Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $y$. 25. Identify the conic represented by the equation without completing the square:$y^2+4x+2y-15=0$ A) Parabola. B) Cirlce. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) 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