This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 15 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 15 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Identify the conic represented by the equation without completing the square:$x^2+y^2+3x-2y-1=0$ A) Parabola. B) Cirlce. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: B) Cirlce. 2. What is the equation of the circle that passes through (-15, 10) and has a center at (-16, 11)? A) $\left(x+16\right)^2+\left(y-11\right)^2=4$. B) $\left(x+11\right)^2+\left(y-16\right)^2=4$. C) $\left(x+16\right)^2+\left(y-11\right)^2=2$. D) $\left(x+13\right)^2+\left(y-17\right)^2=2$. Show Answer Correct Answer: C) $\left(x+16\right)^2+\left(y-11\right)^2=2$. 3. Which shape graph would the equation make? $x^2+y^2-2x+5x-19=0$ A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: A) Circle. 4. Conics is the intersection of a plane and the right circular cones called nappes. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 5. When the plane is perpendicular to the axis the ellipse become a ..... A) LINE. B) CIRCLE. C) POINT. D) TRIANGLE. Show Answer Correct Answer: B) CIRCLE. 6. Identify the conic:2x$^{2}$ + 6y-9 = 0 A) Parabola. B) Hyperbola. C) Ellipse. D) Circle. Show Answer Correct Answer: A) Parabola. 7. Identify the given conic sections that the equation represents. $x^2+y^2+6x-2y+9=0$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: A) Circle. 8. The equation of an ellipse centered at (3, 2) with a vertical major axis of length 8 and a minor axis of length 4 is A) $\frac{\left(x-3\right)^2}{16}+\frac{\left(y-2\right)^2}{4}=1$. B) $\frac{\left(x-3\right)^2}{64}+\frac{\left(y-2\right)^2}{16}=1$. C) $\frac{\left(x-3\right)^2}{4}+\frac{\left(y-2\right)^2}{16}=1$. D) $\frac{\left(x-3\right)^2}{16}+\frac{\left(y-2\right)^2}{64}=1$. Show Answer Correct Answer: C) $\frac{\left(x-3\right)^2}{4}+\frac{\left(y-2\right)^2}{16}=1$. 9. The equation of the circle which passes through the point (4, 5) and has its centre at (2, 2) is A) $\left(x-4\right)^2+\left(y-5\right)^2=14$. B) $\left(x-2\right)^2-\left(y-2\right)^2=13$. C) $\left(x+2\right)^2+\left(y-3\right)^2=5$. D) $\left(x-2\right)^2+\left(y-2\right)^2=13$. Show Answer Correct Answer: D) $\left(x-2\right)^2+\left(y-2\right)^2=13$. 10. If the directrix is y = 4 and the focus is at (3, 0), the value of p is: A) 8. B) -8. C) 2. D) -2. Show Answer Correct Answer: D) -2. 11. If the cutting plane passes through the vertex perpendicular to the cone axis, a point is formed. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 12. Graph the hyperbola given by the equation $\frac{(y-3)^2}{4}-\frac{(x+1)^2}{9} = 1$ A) $(0, 3)$ $(6, 3)$. B) $(-1, 5)$ $(-1, 1)$. C) $(-1, 3)$ $(-1, 3)$. D) $(-1, 5)$ $(-1, 1)$. Show Answer Correct Answer: B) $(-1, 5)$ $(-1, 1)$. 13. It is a curve where any point is at an equal distance from a fixed point (the focus ) and a fixed line (directrix). A) Circle. B) Parabola. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: B) Parabola. 14. X$^{2}$$^{}$-y $^{2}$ = 8 A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 15. These are figures that formed by intersecting two inverted cones and a plane. A) Cross Sections. B) Conic Sections. C) Circles. D) Parabolas. Show Answer Correct Answer: B) Conic Sections. 16. In the equation (x-4)$^{2}$+(x-3)$^{2}$=25, the radius is A) 4. B) 3. C) 5. D) 25. Show Answer Correct Answer: C) 5. 17. What is the coordinates of the centre and the radius of the circle with equation:(x + 2)$^{2}$ + (y + 5)$^{2}$ = 16? A) Centre (2, 5)Radius = 16 units. B) Centre (2, 5)Radius = 4 units. C) Centre (-2, -5)r = 16 units. D) Centre (-2, -5)Radius = 4 units. Show Answer Correct Answer: D) Centre (-2, -5)Radius = 4 units. 18. By inspection, identify the type of conic section generated by the equation:$-25x^2+y^2-100x-125=0$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 19. Given the equation 3x$^{2 }$-7y$^{2 }$+ 12x + 14y + 13 = 0, what type of conic section is this? A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 20. Write the equations of the asymptotes for the hyperbola $\frac{\left(y+2\right)^2}{36}-x^2=1$ A) $y-1=\pm6\left(x-2\right)$. B) $y+2=\pm6\left(x-1\right)$. C) $y=\pm6x$. D) $y+2=\pm6x$. Show Answer Correct Answer: D) $y+2=\pm6x$. 21. In the equation (x+2)$^{2}$+(y+3)$^{2}$=49, what is the center of the circle? A) (2, 3). B) (3, 2). C) (-3, -2). D) (-2, -3). Show Answer Correct Answer: D) (-2, -3). 22. An ellipse degenerates into a circle if A) C=0. B) C=a. C) All the above. D) None of the above. Show Answer Correct Answer: A) C=0. 23. What is the center of this circle:$x^2+y^2-10y+16=0$ A) ( 0, 4 ). B) ( 0, 5 ). C) ( 0, 6 ). D) ( 0, 7 ). Show Answer Correct Answer: B) ( 0, 5 ). 24. The major axis is: A) The shorter axis of an ellipse. B) The longer axis of an ellipse. C) The closest point closest to the Sun. D) The farthest point closest to the Sun. Show Answer Correct Answer: B) The longer axis of an ellipse. 25. What best describe a PARABOLA? 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: A) It is formed when the intersecting plane is parallel to the edge of the cone. ← 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