This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 11 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 11 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A/An ..... is the set of all points in a plane that are the same distance from a fixed point called the focus and a fixed line called the directrix. A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: A) Parabola. 2. Identify the conic section described by the equation 2x$^{2}$ + 8x-4y + 5 = 0. A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Parabola. 3. Find the vertex, focus, and directrix of the parabola:-(1/40)x$^{2}$ = y A) Vertex:(0, 0) Focus:(-20, 0) Directrix:x = 10. B) Vertex:(0, 0) Focus:(0, 10) Directrix:y=10. C) Vertex:(0, 0) Focus:(0, 10) Directrix:y=-10. D) Vertex:(0, 0) Focus:(0, -10) Directrix:y = 10. Show Answer Correct Answer: D) Vertex:(0, 0) Focus:(0, -10) Directrix:y = 10. 4. If the plane intersects the double right circular cone at its VERTEX THE ELLIPSE becomes a ..... ? A) POINT. B) LINE. C) TWO INTERSECTING LINES. D) CIRCLE. Show Answer Correct Answer: A) POINT. 5. There are only three types of conic sections. Which of the following is not a type of conic section? A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: A) Circle. 6. What is the definition of a co-vertex in a hyperbola? A) A point where the hyperbola intersects its transverse axis. B) A point where the hyperbola intersects its conjugate axis. C) A point that represents the center of the hyperbola. D) A point that defines the asymptotes of the hyperbola. Show Answer Correct Answer: B) A point where the hyperbola intersects its conjugate axis. 7. Which conic section is represented by the equation2x$^{2}$ + 3y$^{2}$-6= 0? A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 8. $y^2-6y+8x=15$ A) ( 3, 3). B) (24, 3). C) (-24, 3). D) (-3, 3). Show Answer Correct Answer: A) ( 3, 3). 9. A circle is a special type of an ellipse. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 10. What is p for this parabola? $(x-6)^2=20(y-1)$ A) P=20. B) P=4. C) P=5. D) P=6. Show Answer Correct Answer: C) P=5. 11. The length of the major axis is 6, what is the value of the first denominator in the equation? A) 6. B) 3. C) 12. D) 9. Show Answer Correct Answer: D) 9. 12. The focus is at (2, 0) and the vertex is at (0, 0). What is the equation of the parabola? A) Y$^{2}$ = 8x. B) (y)$^{2}$ =-12x. C) X$^{2}$ = 8y. D) (x)$^{2}$ =-8y. Show Answer Correct Answer: A) Y$^{2}$ = 8x. 13. What type of conic section does the polar equation $r = \frac{5}{1 + 2\cos(\theta)}$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 14. It is a set of all points in the plane that are equidistant from a fixed point. A) CIRCLE. B) ELLIPSE. C) HYPERBOLA. D) PARABOLA. Show Answer Correct Answer: A) CIRCLE. 15. Write the equation of a hyperbola with foci (-4, -5) and (8, -5) and a transverse axis length of 10. A) $\frac{\left(y+5\right)^2}{25}-\frac{\left(x-2\right)^2}{11}=1$. B) $\frac{\left(y+5\right)^2}{11}-\frac{\left(x-2\right)^2}{25}=1$. C) $\frac{\left(x-2\right)^2}{11}-\frac{\left(y+5\right)^2}{25}=1$. D) $\frac{\left(x-2\right)^2}{25}-\frac{\left(y+5\right)^2}{11}=1$. Show Answer Correct Answer: D) $\frac{\left(x-2\right)^2}{25}-\frac{\left(y+5\right)^2}{11}=1$. 16. Find the center of the circle $x^2-2x+y^2+10y+17=0$ A) (5, -1). B) (-5, 1). C) (1, -5). D) (-1, 5). Show Answer Correct Answer: C) (1, -5). 17. What is the standard form of the following equation? $4x^2+8x-9y^2+36y-176=0$ A) $\frac{\left(x-1\right)^2}{36}-\frac{\left(y-2\right)^2}{16}=1$. B) $\frac{\left(x+1\right)^2}{36}-\frac{\left(y-2\right)^2}{16}=1$. C) $\frac{\left(x+1\right)^2}{9}-\frac{\left(y+2\right)^2}{16}=1$. D) $\frac{\left(x-1\right)^2}{16}-\frac{\left(y+2\right)^2}{36}=1$. Show Answer Correct Answer: B) $\frac{\left(x+1\right)^2}{36}-\frac{\left(y-2\right)^2}{16}=1$. 18. The equation of a hyperbola with foci on the x axis is A) $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$. B) $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$. C) $x^2+y^2=\left(a^2+b^2\right)$. D) $x^2-y^2=\left(a^2+b^2\right)$. Show Answer Correct Answer: B) $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$. 19. A/An ..... is the set of all points in a plane such that the absolute value of the difference of distances from two fixed points is constant. A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 20. Write the equation of a circle in standard form:center:$\left(-15, 3\sqrt[]{7}\right)$ $8\pi$ A) $\left(x+15\right)^2+\left(y-3\sqrt{7}\right)^2=16$. B) (x+15)2+(y-37)2=16 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x+15\right)^2+\left(y-3\sqrt{7}\right)^2=16$. 21. Identify the given conic sections that the equation represents. $9x^2+4y^2-54x-8y-59=0$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. 22. What is the area of a sector of a circle with a radius of 8 inches and formed by a central angle that measures 60$^\circ$? A) $\frac{8\pi}{3}$. B) $\frac{16\pi}{3}$. C) $\frac{32\pi}{3}$. D) $\frac{64\pi}{3}$. Show Answer Correct Answer: C) $\frac{32\pi}{3}$. 23. Identify the conic section described by the equation $x^2-4y^2=16$ A) Circle. B) Hyperbola. C) Parabola. D) Ellipse. Show Answer Correct Answer: B) Hyperbola. 24. The parabola y = x$^{2}$-2x + 4 will A) Open up. B) Open down. C) All the above. D) None of the above. Show Answer Correct Answer: A) Open up. 25. Find the center of the circle $x^2+y^2-2x+4y+1=0$ A) (-1, 2). B) (2, -1). C) (1, -2). D) (-2, 1). Show Answer Correct Answer: C) (1, -2). ← 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