This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 10 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 10 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Identify the conic section $\left(y-9\right)^2+\left(x+4\right)^2=1$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: A) Circle. 2. Write an equation for a parabola with the given focus F and vertex V:F(2, 8) V(2, 10) A) $\left(x-4\right)^2=-8\left(y+10\right)$. B) $\left(x-2\right)^2=-8\left(y-10\right)$. C) $\left(x-2\right)^2=-6\left(y-5\right)$. D) $\left(x-3\right)^2=-5\left(y+10\right)$. Show Answer Correct Answer: B) $\left(x-2\right)^2=-8\left(y-10\right)$. 3. What is the center of the circle indicated by the equation (x-2)$^{2}$+ y$^{2 }$= 36? A) (2, 0). B) (-2, 0). C) (-1, 0). D) (1, 0). Show Answer Correct Answer: A) (2, 0). 4. $\left(x-h\right)^2+\left(y-k\right)^2=r^2$ A) ( h, k ). B) ( k, h ). C) ( h, r ). D) ( r, k ). Show Answer Correct Answer: A) ( h, k ). 5. There are figures that formed by intersecting two inverted cones and a plane. A) Cross Sections. B) Circles. C) Conic Sections. D) Parabolas. Show Answer Correct Answer: C) Conic Sections. 6. A satellite in orbit around Earth traces a path called a/an ..... A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. 7. An ellipse is formed if the angle of the cutting plane with the vertical axis is less than the vertex angle. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 8. Write the equation of a circle in standard form:$4y+y^2=-28x-x^2-191$ A) $\left(x+10\right)^2+\left(y+2\right)^2=9$. B) (x+10)2+(y+2)2=9 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x+10\right)^2+\left(y+2\right)^2=9$. 9. The ..... of a conic is the chord passing through the focus and perpendicular to the axis. A) Directrix. B) Radius. C) Eccentricity. D) None of the above. Show Answer Correct Answer: D) None of the above. 10. What is the major axis for the following equation? $\frac{\left(x-4\right)^2}{4}+\frac{\left(y-1\right)^2}{36}=1$ A) Horizontal. B) Vertical. C) All the above. D) None of the above. Show Answer Correct Answer: B) Vertical. 11. What is the length of a semi-major axis? A) The length of a semi-major axis is equal to the length of the minor axis. B) The length of a semi-major axis is twice the length of the major axis. C) The length of a semi-major axis is one-fourth the length of the major axis. D) The length of a semi-major axis is half the length of the major axis. Show Answer Correct Answer: D) The length of a semi-major axis is half the length of the major axis. 12. Which conic is given by (x-4)$^{2}$ = 8(y-3)? A) Hyperbola. B) Ellipse. C) Circle. D) Parabola. Show Answer Correct Answer: D) Parabola. 13. Identify the conic section $-\frac{\left(y+1\right)^2}{25}+\frac{\left(x+1\right)^2}{16}=1$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 14. Write the equation of a circle in standard form:$x^2+y^2-10x+20y+61=0$ A) $\left(x-4\right)^2+\left(y+12\right)^2=64$. B) (x-4)2+(y+12)2=64 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x-4\right)^2+\left(y+12\right)^2=64$. 15. In a hyperbola, the transverse axis passes through which of the following points ..... A) Center. B) Foci. C) Vertices. D) All of the above. Show Answer Correct Answer: D) All of the above. 16. Which conic's equation has only 1 squared term? A) Parabola. B) Circle. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: A) Parabola. 17. What type of conic section is represented by the equation $y^2=8x$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: D) Parabola. 18. What is the eccentricity of the ellipse, if the minor axis is equal to the distance between the foci. 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) $\frac{1}{\sqrt{2}}$. 19. Floating angle theorem A) B) An angle formed when a tangent and a chord meet that measures half of the arc. C) AB=CD. D) When 2 tangents meet outside of a circle they are congruent. Show Answer Correct Answer: A) 20. The set of all points in a plane that are equidistant from a fixed line (directrix) and a fixed point (focus) in the plane is called ..... A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: B) Parabola. 21. A surface is formed when a straight line intersects a vertical line at a fixed point and rotates about that fixed point. What would be the term for what you have obtained? A) CIRCLE. B) DOUBLE RIGHT CIRCULAR CONE. C) CONIC SECTIONS. D) PARABOLAS. Show Answer Correct Answer: B) DOUBLE RIGHT CIRCULAR CONE. 22. If the radius is the distance from the outside to the middle what is the diameter A) The diameter stretches from one side to another. B) The diameter is the outside of the circle. C) The diameter makes up the whole circle. D) The diameter is half the radius. Show Answer Correct Answer: A) The diameter stretches from one side to another. 23. Write the equation for a circle with center (-2, 0) and a radius of 7. A) $\left(x+2\right)^2+y^2=7$. B) $\left(x-2\right)^2+y^2=7$. C) $\left(x+2\right)^2+y^2=49$. D) $\left(x-2\right)^2+y^2=49$. Show Answer Correct Answer: C) $\left(x+2\right)^2+y^2=49$. 24. A degenerate hyperbola is represented by intersecting lines. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 25. Find the equation of the specified hyperbola with its center at the origin:Vertices:$\left(0, \pm8\right)$ $y=\pm4x$ A) $\frac{y^2}{64}-\frac{x^2}{4}=1$. B) 64y2-4x2=1 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{y^2}{64}-\frac{x^2}{4}=1$. ← 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 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books