This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 12 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 12 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The equation of the hyperbola whose vertices are 2 units from the center and whose transverse axis is vertical, with asymptotes $y=\pm2x$ A) $\frac{x^2}{4}-y^2=1$. B) $y^2-\frac{x^2}{4}=1$. C) $x^2-\frac{y^2}{4}=1$. D) $\frac{y^2}{4}-x^2=1$. Show Answer Correct Answer: D) $\frac{y^2}{4}-x^2=1$. 2. Write the equation of a hyperbola with conjugate axis endpoints (-6, -1) and (0, -1) and a transverse axis length of 4. A) $\frac{\left(y+1\right)^2}{4}-\frac{\left(x+3\right)^2}{9}=1$. B) $\frac{\left(x+3\right)^2}{9}-\frac{\left(y+1\right)^2}{4}=1$. C) $\frac{\left(y+1\right)^2}{9}-\frac{\left(x+3\right)^2}{4}=1$. D) $\frac{\left(x+3\right)^2}{4}-\frac{\left(y+1\right)^2}{9}=1$. Show Answer Correct Answer: A) $\frac{\left(y+1\right)^2}{4}-\frac{\left(x+3\right)^2}{9}=1$. 3. What are the different degenerate conic sections? A) Point, line, two intersecting line. B) Point, line, three intersecting line. C) Point, line, four intersecting lines. D) Point, line, five intersecting lines. Show Answer Correct Answer: A) Point, line, two intersecting line. 4. Find the vertex, focus, and directrix of the parabola:$^{}$x$^{2}$ = 28y A) Vertex:(0, 0) Focus:(0, 7) Directrix:y=-7. B) Vertex:(0, 0) Focus:(7, 0) Directrix:y=7. C) Vertex:(0, 0) Focus:(0, -7) Directrix:x=-7. D) Vertex:(0, 0) Focus:(7, 0) Directrix:x=7. Show Answer Correct Answer: A) Vertex:(0, 0) Focus:(0, 7) Directrix:y=-7. 5. Write the equation of a circle in standard form:center:$\left(-11, -14\right)$ $16\pi$ A) $\left(x+11\right)^2+\left(y+14\right)^2=16$. B) (x+11)2+(y+14)2=16 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x+11\right)^2+\left(y+14\right)^2=16$. 6. If a parabola has a focus at (-3, 0) and a vertex at the origin ..... what is the equation of the directrix? A) Y=3. B) Y=-3. C) X=3. D) X=-3. Show Answer Correct Answer: C) X=3. 7. What is the coordinate of the focus? (x+3)$^{2}$ = 4(y+5) A) (-3, -4). B) (-3, -6). C) (-4, 5). D) (-2, 5). Show Answer Correct Answer: A) (-3, -4). 8. The denotation used to indicate the distance from the center of the ellipse to the focus is ..... A) A. B) B. C) C. D) F. Show Answer Correct Answer: C) C. 9. What is the directrix of the parabola(x )$^{2 }$= 8y? A) Y =-3. B) X= 5. C) Y=-2. D) Y= 2. Show Answer Correct Answer: C) Y=-2. 10. What is the vertex of the parabola:$x=7\left(y-6\right)^2-2$ A) (6, -2). B) (-6, -2). C) (-2, 6). D) (-2, -6). Show Answer Correct Answer: C) (-2, 6). 11. What is the line containing the center and foci? A) Major Axis. B) Minor Axis. C) Vertices. D) None of the above. Show Answer Correct Answer: A) Major Axis. 12. Which of the following is the equation of an ellipse with center at $(0, 0)$ A) $\frac{x^2}{9} + \frac{y^2}{25} = 1$. B) $\frac{x^2}{25} + \frac{y^2}{9} = 1$. C) $\frac{x^2}{16} + \frac{y^2}{25} = 1$. D) $\frac{x^2}{25} + \frac{y^2}{16} = 1$. Show Answer Correct Answer: B) $\frac{x^2}{25} + \frac{y^2}{9} = 1$. 13. If a parabola has a vertex at (-5, 2), what is the axis of symmetry. A) Y = 2. B) X =-5. C) X = 5. D) Y =-2. Show Answer Correct Answer: B) X =-5. 14. What is the point inside the parabola 'p' units from the vertex? A) Vertex. B) Focus. C) Directrix. D) Axis of symmetry. Show Answer Correct Answer: B) Focus. 15. The equation that shows the relationship between the distances of the center the focus, vertex and covertex is ..... A) C$^{2}$ = a$^{2}$ + b$^{2}$. B) A$^{2}$ = b$^{2}$ + c$^{2}$. C) B$^{2}$ = a$^{2}$ + c$^{2}$. D) None of the above. Show Answer Correct Answer: B) A$^{2}$ = b$^{2}$ + c$^{2}$. 16. Which conic section is represented by the equationx$^{2}$ + y$^{2}$-10x-4y-21 = 0 A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: A) Circle. 17. Write the equation of a circle in standard form:$8x+32y+y^2=-263-x^2$ A) $\left(x+4\right)^2+\left(y+16\right)^2=9$. B) (x+4)2+(y+16)2=9 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x+4\right)^2+\left(y+16\right)^2=9$. 18. Which correctly describes the parabola:$y=2\left(x-1\right)^2-3$ A) Opens left. B) Opens right. C) Opens up. D) Opens down. Show Answer Correct Answer: C) Opens up. 19. What conic section is formed when the plane intersects only one cone to form a bounded curve or when the plane is tilted at any angle provided not parallel to the base, element or axis? A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. 20. What best describe a HYPERBOLA? 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: D) It is formed when the intersecting plane is positioned at a steeper angle. 21. What is the significance of the transverse axis in a hyperbola? A) It is the line segment that connects the vertices of the hyperbola and determines its orientation. B) It is the line that bisects the hyperbola into two equal parts. C) It represents the distance between the foci of the hyperbola. D) It is the axis that defines the asymptotes of the hyperbola. Show Answer Correct Answer: A) It is the line segment that connects the vertices of the hyperbola and determines its orientation. 22. These conics are formed when the cutting plane does not pass the vertex of the cone. These conics are also referred to as ..... A) Plane. B) Non-Degenerate Conics. C) Cone. D) Degenerate Conics. Show Answer Correct Answer: B) Non-Degenerate Conics. 23. Which of the following conic sections have four vertices? A) Circle. B) Ellipse. C) Hyperbola. D) Both Ellipse and Hyperbola. Show Answer Correct Answer: B) Ellipse. 24. Which conic section does the equation $r = \frac{6}{1-3\cos(\theta)}$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 25. Which way does the parabola open? (y-4)$^{2 }$=-8(x+1) A) Up. B) Down. C) Left. D) Right. Show Answer Correct Answer: C) Left. ← 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