This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 16 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 16 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. When a plane intersects a double right circular cone, two dimensional curves called conic sections are formed. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 2. What is the center of this circle:$x^2+y^2-4x-6y-3=0$ A) ( 2, 3 ). B) (-2, 3 ). C) ( 2, -3 ). D) ( 3, 2 ). Show Answer Correct Answer: B) (-2, 3 ). 3. Identify the conic:36x$^{2}$-5y$^{2}$ + 8x + 2y + 12 = 0 A) Hyperbola. B) Parabola. C) Ellipse. D) Circle. Show Answer Correct Answer: A) Hyperbola. 4. THE TWO TYPES OF NAPPE:THE UPPER NAPPE AND LOWER NAPPETRUE OR FALSE? A) FALSE. B) TRUE. C) All the above. D) None of the above. Show Answer Correct Answer: B) TRUE. 5. Classify this conic:16y$^{2}$-5x-2y + 5 = 0 A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Parabola. 6. What best describe a CIRCLE? A) It is formed when the intersecting plane is parallel to the edge of the cone. B) It is formed when the intersecting plane is parallel to the base of the cone. C) It is formed when the intersecting plane is slightly tilted so as to make a closed figure. D) It is formed when the intersecting plane is positioned at a steeper angle. Show Answer Correct Answer: B) It is formed when the intersecting plane is parallel to the base of the cone. 7. What is the transverse axis for this hyperbola? $\frac{\left(y-3\right)^2}{9}-\frac{\left(x+2\right)^2}{4}=1$ A) Horizontal. B) Vertical. C) All the above. D) None of the above. Show Answer Correct Answer: B) Vertical. 8. What is the radius of this circle:$x^2+y^2-2x+8y+8=0$ A) 1. B) 2. C) 3. D) 4. Show Answer Correct Answer: C) 3. 9. It is the angle between the generator and the axis ..... A) THE RIGHT ANGLE. B) THE OBTUSE ANGLE. C) THE VERTEX ANGLE. D) THE ACUTE ANGLE. Show Answer Correct Answer: C) THE VERTEX ANGLE. 10. Identify the given conic sections that the equation represents. $y^2+x+10y+26=0$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. 11. When the cutting plane intersects the two cones parallel to their vertical axes and perpendicular to their bases, then the conic section is a ..... A) Parabola. B) Hyperbola. C) Circle. D) Ellipse. Show Answer Correct Answer: B) Hyperbola. 12. $3x^2+y^2=12$ A) 4. B) 3. C) 8. D) $\frac{4}{\sqrt{3}}$. Show Answer Correct Answer: D) $\frac{4}{\sqrt{3}}$. 13. For a hyperbola eccentricity $e$ A) = 1. B) $<1$. C) $>1$. D) None of the above. Show Answer Correct Answer: C) $>1$. 14. Classify this conic:6x$^{2}$ + 6y$^{2}$-3x + 4y = 0 A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Circle. 15. What type of equation is this? $\left(x-5\right)^2+\left(y+1\right)^2=49$ A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: C) Circle. 16. Which correctly describes the parabola:$y=-\frac{1}{2}\left(x+3\right)^2+4$ A) Opens left. B) Opens right. C) Opens up. D) Opens down. Show Answer Correct Answer: D) Opens down. 17. 4x$^{2}$-5y$^{2}$ + 2x-8y + 10 = 0 A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 18. Does the equation represent horizontal hyperbola or a vertical hyperbola? $\frac{\left(y-1\right)^2}{16}-\frac{\left(x+1\right)^2}{4}=1$ A) Horizontal. B) Vertical. C) All the above. D) None of the above. Show Answer Correct Answer: B) Vertical. 19. Is the point (3, 5) inside, outside or on the circle with equation x$^{2}$ + y$^{2}$ = 9? A) Inside the Circle. B) Outside the Circle. C) On the Circle. D) None of the above. Show Answer Correct Answer: B) Outside the Circle. 20. A degenerate parabola is represented by a point. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 21. Identify the conic represented by the equation without completing the square:$x^2+6x-4y+1=0$ A) Parabola. B) Cirlce. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Parabola. 22. How do you graph a parabola given its vertex and directrix? A) Plot the vertex, draw the directrix, and use the focus to determine the shape. The parabola opens towards the focus. B) Draw the vertex and directrix, then sketch a straight line through them. C) Use the vertex to create a circle and then draw the parabola around it. D) Plot the focus, then draw a line perpendicular to the directrix to find the vertex. Show Answer Correct Answer: A) Plot the vertex, draw the directrix, and use the focus to determine the shape. The parabola opens towards the focus. 23. What is $\lim_{x\rightarrow-\infty}5x^5+7x^4-3x^2-2x-8?$ A) $5$. B) $0$. C) $-\infty$. D) $+\infty$. Show Answer Correct Answer: C) $-\infty$. 24. These are sections formed when a double-napped cone is sliced through a plane. A) Plane. B) Cone. C) Conics. D) Degenerate Conics. Show Answer Correct Answer: C) Conics. 25. The shape of a furnace can be described as a/an ..... Furnaces are this shape to help cool the water used to condense the steam extracted from steam turbines into water. A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. ← 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