This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 22 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 22 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If a is positive, the parabola opens ..... A) Up/right. B) Down/left. C) All the above. D) None of the above. Show Answer Correct Answer: A) Up/right. 2. Which of the following shows the standard equation of the circle with center at (0, 0) and a radius of 3? A) $x^2+y^2=3$. B) $x^2+y^2=9$. C) $x^2+y^2=4$. D) $x^2+y^2=81$. Show Answer Correct Answer: B) $x^2+y^2=9$. 3. What best describe a CROSSED LINES? A) It is formed when the intersecting plane is parallel to the edge of the cone. B) It is formed when the intersecting plane parallel to the base of the once intersects with its vertex. C) It is formed when the plane intersects the vertex of the cone and is tangent to it. D) It is formed when the plane passes through the vertex and through both cones. Show Answer Correct Answer: D) It is formed when the plane passes through the vertex and through both cones. 4. X$^{2}$+5xy+8y$^{2}$-10x+3y+10=0What type of conic section is represented by this equation? A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: A) Ellipse. 5. Hyperbola is the figure formed when the plane intersects both nappes and is parallel to the cone axis. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 6. The length of a line segment passing through the center whose endpoints are on the circle. A) Line. B) Point. C) Radius. D) Diameter. Show Answer Correct Answer: D) Diameter. 7. Which of the following are always true for a hyperbola (mark all correct answers) A) $a>b$. B) $a$. C) $a$. D) $a^2+b^2=c^2$. E) $a^2-b^2=c^2$. Show Answer Correct Answer: D) $a^2+b^2=c^2$. 8. Write the equation of a hyperbola with foci at $(\pm 5, 0)$ $(\pm 3, 0)$ A) $\frac{x^2}{9}-\frac{y^2}{16} = 1$. B) $\frac{x^2}{16}-\frac{y^2}{9} = 1$. C) $\frac{x^2}{9}-\frac{y^2}{25} = 1$. D) $\frac{x^2}{25}-\frac{y^2}{9} = 1$. Show Answer Correct Answer: C) $\frac{x^2}{9}-\frac{y^2}{25} = 1$. 9. A hyperbola has vertices $\left(0, \\pm5\right)$ A) $\frac{y^2}{11}-\frac{x^2}{25}=1$. B) $\frac{x^2}{25}-\frac{y^2}{11}=1$. C) $\frac{x^2}{11}-\frac{y^2}{25}=1$. D) $\frac{y^2}{25}-\frac{x^2}{11}=1$. Show Answer Correct Answer: D) $\frac{y^2}{25}-\frac{x^2}{11}=1$. 10. $x^2-3y^2-2x-8=0$ A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 11. What is the equation of a circle centered at (-2, 5) and a radius of 9 A) (x-2)$^{2+}$(y+5)$^{2}$=81. B) (x+2)$^{2+}$(y-5)$^{2}$=81. C) (x-2)$^{2+}$(y+5)$^{2}$=9. D) (x+2)$^{2}$+(y-5)$^{2}$=9. Show Answer Correct Answer: B) (x+2)$^{2+}$(y-5)$^{2}$=81. 12. What is the significance of the conjugate axis in a hyperbola? A) It is the longest diameter of the hyperbola. B) It is perpendicular to the transverse axis and helps define the shape of the hyperbola. C) It represents the distance between the foci of the hyperbola. D) It is the axis along which the hyperbola opens. Show Answer Correct Answer: B) It is perpendicular to the transverse axis and helps define the shape of the hyperbola. 13. The shorter axis of symmetry of an ellipse is called the ..... A) Major axis. B) Minor axis. C) Axis of symmetry. D) Eccentricity. Show Answer Correct Answer: B) Minor axis. 14. Is the locus of a point that moves at a constant distance from a fixed point. A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: A) Circle. 15. -6x$^{2}$ + 4y$^{2}$ + 9x + y =-7 A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 16. What is the correct equation of a left opening parabola if h=3, k=3, and p=-2? A) $\left(y-3\right)^2=-8\left(x-3\right)$. B) $\left(x-3\right)^2=-2\left(y-3\right)$. C) $\left(y+3\right)^2=2\left(x+3\right)$. D) $\left(y-3\right)^2=4\left(x-3\right)$. Show Answer Correct Answer: A) $\left(y-3\right)^2=-8\left(x-3\right)$. 17. Solve for the equation of the circle which is centered at the point of intersection of the lines $x+3y+3=0$ $x+y+1=0$ A) $x^2+y^2+2y+24=0$. B) $x^2+y^2+2y-24=0$. C) $x^2+y^2+4y-20=0$. D) $x^2+y^2-4y+20=0$. Show Answer Correct Answer: B) $x^2+y^2+2y-24=0$. 18. A moving point maintains equal distance from two parallel lines.Which of the following does the locus P belongs to A) Circle. B) A straight line. C) Two parallel lines. D) Two perpendicular lines. Show Answer Correct Answer: B) A straight line. 19. If the parabola y$^{2}$ = 4ax passes through the point (3, 2), then the length of its latus rectum is(a) 2/3 (b) 4/3(c) 1/3(d) 4 A) . B) . C) . D) . Show Answer Correct Answer: A) . 20. What is the coordinate of the vertex? (y-4)$^{2 }$=-8(x+1) A) (1, 4). B) (-1, -4). C) (1, -4). D) (-1, 4). Show Answer Correct Answer: D) (-1, 4). 21. In a horizontal parabola, which coordinate changes from the vertex to the focus? A) $x$. B) X Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $x$. 22. The following are conic sections except: A) Circle. B) Ellipse. C) Point. D) Parabola. Show Answer Correct Answer: C) Point. 23. Identify the conic represented by the equation by completing the square:$x^2+16y^2-160y+384=0$ A) Parabola. B) Cirlce. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: D) Ellipse. 24. Write the equation of a circle in standard form:center:$\left(-6, -15\right)$ $\sqrt[]{5}$ A) $\left(x+6\right)^2+\left(y+15\right)^2=5$. B) (x+6)2+(y+15)2=5 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x+6\right)^2+\left(y+15\right)^2=5$. 25. Which is the equation of a circle with center (2, 1) that passes through (2, 4)? A) (x-2)$^{2}$ + (y-1)$^{2}$ = 9. B) (x-2)$^{2}$ + (y-1)$^{2}$ = 3. C) (x + 2)$^{2}$ + (y + 1)$^{2}$ = 9. D) (x + 2)$^{2}$ + (y + 1)$^{2}$ = 3. Show Answer Correct Answer: A) (x-2)$^{2}$ + (y-1)$^{2}$ = 9. ← 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