This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 8 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What kind of line does a right circular cone have in its axis? A) A HORIZONTAL LINE. B) VERTICAL LINE. C) A PERPENDICULAR LINE. D) A INFINITE LINE. Show Answer Correct Answer: C) A PERPENDICULAR LINE. 2. How do you convert the general form of a circle's equation to standard form? A) By factoring the equation into linear terms. B) By completing the square for x and y. C) By using the quadratic formula to find the roots. D) By rearranging the equation to isolate y. Show Answer Correct Answer: B) By completing the square for x and y. 3. Name the center of the ellipse and the a and b values:$\frac{x^2}{100}+\frac{\left(y+2\right)^2}{25}=1$ A) Center:(0, -2) a = 100 b = 25. B) Center:(0, 2) a = 10b = 5. C) Center:(0, -2)a=10b=5. D) Center:(0, 2)a=100b=25. Show Answer Correct Answer: C) Center:(0, -2)a=10b=5. 4. Which conic section is represented by the equation4x$^{2}$ + 25y$^{2}$-8x + 150y + 129 = 0 A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 5. What type of conic section is $3x^2-y^2-11x+4=0$ A) Ellipse. B) Circle. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 6. Determine the eccentricity for the conic section described by $r = \frac{2}{1 + 0.5\sin(\theta)}$ A) 0.5. B) 1. C) 1.5. D) 2. Show Answer Correct Answer: A) 0.5. 7. The focus of a parabola is at ( 5, 0 ) and the vertex is at ( 0, 0 ). What is the equation of this parabola? A) Y$^{2}$ = 20x. B) Y$^{2 }$=-20x. C) X$^{2}$ = 20y. D) X$^{2}$ =-20y. Show Answer Correct Answer: A) Y$^{2}$ = 20x. 8. Circle is the figure formed when the cutting plane on a nappe is perpendicular to the cone axis. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 9. Write the equation of a circle in standard form:$137+6y=-y^2-x^2-24x$ A) $\left(x+12\right)^2+\left(y+3\right)^2=16$. B) (x+12)2+(y+3)2=16 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\left(x+12\right)^2+\left(y+3\right)^2=16$. 10. A ..... is the set of all points (x, y) in a plane that are equidistant from a fixed point, called the center. A) Locus. B) Conic section. C) Circle. D) Radius. Show Answer Correct Answer: C) Circle. 11. A hyperbola has vertices at (0, -1) and (4, -1) and foci at (-2, -1) and (6, -1). What is the value of b$^{2}$? A) 12. B) 144. C) 4. D) 16. Show Answer Correct Answer: A) 12. 12. A circle is passing through the points (0, 0) and (6, 12). Its center is on the line y=x+3. What is the equation of the circle? A) $\left(x+6\right)^2+\left(y+3\right)^2=45$. B) $\left(x-3\right)^2+\left(y-6\right)^2=45$. C) $\left(x-6\right)^2+\left(y-3\right)^2=45$. D) $\left(x+3\right)^2+\left(y+6\right)^2=45$. Show Answer Correct Answer: B) $\left(x-3\right)^2+\left(y-6\right)^2=45$. 13. Which of the following equations represents a hyperbola with vertices at $(\pm 4, 0)$ A) $\frac{x^2}{16}-\frac{y^2}{9} = 1$. B) $\frac{y^2}{16}-\frac{x^2}{9} = 1$. C) $\frac{x^2}{9}-\frac{y^2}{16} = 1$. D) $\frac{y^2}{9}-\frac{x^2}{16} = 1$. Show Answer Correct Answer: A) $\frac{x^2}{16}-\frac{y^2}{9} = 1$. 14. Which conic section is represented by the equation 9x$^{2}$-4y$^{2}$-54x-40y-55 = 0 A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 15. What type of conic section if a plane perpendicular to cone axis? A) Ellipse. B) Hyperbola. C) Parabola. D) Circle. Show Answer Correct Answer: D) Circle. 16. If the focus of a parabola is (0, -3) and its directrix is y = 3, then its equation is A) X$^{2}$ =-12y. B) X$^{2}$ = 12y. C) Y$^{2}$= 12 x. D) Y$^{2}$=-12 x. Show Answer Correct Answer: A) X$^{2}$ =-12y. 17. A parabola has a vertex at (-4, 1).Where is the axis of symmetry? A) Y =-4. B) X = 4. C) X =-4. D) Y = 4. Show Answer Correct Answer: C) X =-4. 18. A ..... is the set of all points whose difference from two fixed points is constant. A) Hyperbola. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: A) Hyperbola. 19. Which conic's equation has 2 squares with the same signs and different leading coefficents? A) Parabola. B) Circle. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: C) Ellipse. 20. $x^2+y^2=30$ A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: C) Ellipse. 21. Does the parabola open up or down? How do you know? $y=3x^2+2x-4$ A) Up, because a = 3. B) Up, because b = 2. C) Down, because a = 2. D) Down, because c =-4. Show Answer Correct Answer: A) Up, because a = 3. 22. What is the radius? $\left(x+4\right)^2+\left(y-2\right)^2=100$ A) 100. B) 10. C) -4. D) 2. Show Answer Correct Answer: B) 10. 23. What do you call theset of all points P in a plane such that the sum of the distances from P to twofixed points is a constant? A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. 24. Classify this conic:25x$^{2}$ + 5y$^{2}$ + 6x + 4y +2 = 0 A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 25. What type of conic section is represented by the polar equation $r = \frac{1}{2-\sin(\theta)}$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: B) Ellipse. ← 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 9Class 11 Mathematics Chapter 11 Conic Sections Quiz 10Class 11 Mathematics Chapter 11 Conic Sections Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books