This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 1 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $16x^2-9y^2=144$ A) 16/3. B) 32/3. C) 8/3. D) 4/3. Show Answer Correct Answer: D) 4/3. 2. Which conic section is represented by the equation2x$^{2}$-16x-12y + 20 = 0 A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: D) Parabola. 3. A circle is centeredat the point $(1, -5)$ $3x+4y=8$ A) $\left(x-1\right)^2+\left(y+5\right)^2=25$. B) $\left(x-1\right)^2+\left(y-5\right)^2=25$. C) $\left(x+5\right)^2+\left(y+1\right)^2=25$. D) $\left(x+5\right)^2+\left(y-1\right)^2=25$. Show Answer Correct Answer: A) $\left(x-1\right)^2+\left(y+5\right)^2=25$. 4. What is the center of this circle: A) ( 0, 4 ). B) ( 0, 5 ). C) ( 0, 6 ). D) ( 0, 7 ). Show Answer Correct Answer: B) ( 0, 5 ). 5. $x^2+y^2-10x=0$ A) $\left(x+5\right)^2+y^2=25$. B) $\left(x-5\right)^2+\left(y-1\right)^2=25$. C) $x^2+\left(y-5\right)^2=25$. D) $\left(x-5\right)^2+y^2=25$. Show Answer Correct Answer: D) $\left(x-5\right)^2+y^2=25$. 6. What is the definition of a locus of points? A) The sum of two numbers. B) The product of two numbers. C) A set of points that satisfy a certain condition or property. D) The square root of a number. Show Answer Correct Answer: C) A set of points that satisfy a certain condition or property. 7. If the directrix is $y=4$ A) 8. B) 2. C) -8. D) -2. Show Answer Correct Answer: D) -2. 8. What equation is used to find foci points on an ellipse A) $c^2=a^2-b^2$. B) $c^2=a^2+b^2$. C) All the above. D) None of the above. Show Answer Correct Answer: A) $c^2=a^2-b^2$. 9. What is the coordinate of the center of the following circle:(x-5)$^{2}$ + (y + 3)$^{2}$ = 36? A) Center (5, -3). B) Center (-5, 3). C) Center (-5, -3). D) Center (5, 3). Show Answer Correct Answer: A) Center (5, -3). 10. In which conic section is a always greater than b? A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 11. Given radius of 3 and center of (-4, 6) A) (x + 4)$^{2 }$+ (y-6)$^{2}$ = 9. B) (x + 4)$^{2 }$+ (y-6)$^{2}$ = 3. C) (x + 6)$^{2 }$+ (y-4)$^{2}$ = 9. D) (x-4)$^{2 }$+ (y + 6)$^{2}$ = 9. Show Answer Correct Answer: A) (x + 4)$^{2 }$+ (y-6)$^{2}$ = 9. 12. What type of conic section is $36x^2-5y^2+8x+2y+12=0$ A) Hyperbola. B) Parabola. C) Ellipse. D) Circle. Show Answer Correct Answer: A) Hyperbola. 13. Write a general form equation in the xy-plane for the rotated conic at the given angle:$\frac{\left(x'\right)^2}{2}+\frac{\left(y'\right)^2}{10}=1, \\\\theta=\frac{\pi}{6}$ A) $4x^2+2\sqrt[]{3}xy+2y^2-10=0$. B) $3x^2-14x-y^2-12\sqrt[]{3}y=0$. C) $5x^2+2\sqrt[]{3}xy+7y^2-16=0$. D) $4x^2+4\sqrt[]{3}xy+4y^2-4=0$. Show Answer Correct Answer: A) $4x^2+2\sqrt[]{3}xy+2y^2-10=0$. 14. What is the center-radius form of the equation of acircle? A) $\left(x-h\right)^2+\left(y-k\right)^2=r^2$. B) $\left(x-h\right)^2-\left(y-k\right)^2=r^2$. C) $\left(x+h\right)^2+\left(y+k\right)^2=r^2$. D) $\left(x+h\right)^2-\left(y+k\right)^2=r^2$. Show Answer Correct Answer: A) $\left(x-h\right)^2+\left(y-k\right)^2=r^2$. 15. If we know the center of an ellipse being at (-9 ; 2), the parameter a = 12 and the parameter b = 7. The equation for a vertical ellipse that matches this description is: A) $\frac{\left(x+9\right)^2}{144}+\frac{\left(y-2\right)^2}{49}=1$. B) $\frac{\left(x+9\right)^2}{49}+\frac{\left(y-2\right)^2}{144}=1$. C) $\frac{\left(x+9\right)^2}{7}+\frac{\left(y-2\right)^2}{12}=1$. D) $\frac{\left(x-9\right)^2}{49}+\frac{\left(y+2\right)^2}{144}=1$. Show Answer Correct Answer: B) $\frac{\left(x+9\right)^2}{49}+\frac{\left(y-2\right)^2}{144}=1$. 16. Given the ellipse with equation 9x$^{2}$ + 25y$^{2}$ = 225, find the eccentricity. A) 3/5. B) 2/3. C) 5/4. D) 4/5. Show Answer Correct Answer: D) 4/5. 17. What do you call the perimeter of the base? A) DIRENTRIX. B) NAPPE. C) AXIS. D) HYPERBOLA. Show Answer Correct Answer: A) DIRENTRIX. 18. The parabola y = x$^{2}$-2x + 4 will have a vertex of A) (-1, 2). B) (1, 2). C) (-1, 3). D) (1, 3). Show Answer Correct Answer: D) (1, 3). 19. What is the direction of the transverse axis of the hyperbola given by the equation $\frac{y^2}{25}-\frac{x^2}{16} = 1$ A) Horizontal. B) Vertical. C) Diagonal. D) None of the above. Show Answer Correct Answer: B) Vertical. 20. What is the center? $\left(x+4\right)^2+\left(y-2\right)^2=100$ A) (4, -2). B) (4, 2). C) (-4, 2). D) (-4, -2). Show Answer Correct Answer: C) (-4, 2). 21. Identify the conic $\frac{\left(x-2\right)^2}{4}+\frac{\left(y-5\right)^2}{16}=1$ A) Circle. B) Vertical Ellipse. C) Horizontal Hyperbola. D) Horizontal Ellipse. Show Answer Correct Answer: B) Vertical Ellipse. 22. What do you call theconic section where any point is at an equal distance from a fixed point and afixed straight line? A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. 23. Equation of the circle with centre on the y-axis and passing through the origin and the point (2, 3) is A) $x^2+y^2+13y=0$. B) $3x^2+3y^2+13x+3=0$. C) $6x^2+6y^2-13x=0$. D) None of the above. Show Answer Correct Answer: D) None of the above. 24. What is the equation for the foci of a hyperbola? A) C$^{2}$ = a$^{2}$ + b$^{2}$. B) C$^{2}$ = a$^{2}$-b$^{2}$. C) 4p. D) (x-h)$^{2}$ + (y-k)$^{2}$ = r$^{2}$. Show Answer Correct Answer: A) C$^{2}$ = a$^{2}$ + b$^{2}$. 25. What is the eccentricity of the conic section represented by the equation $\frac{x^2}{25}+\frac{y^2}{36}=1$ A) 0. B) 1. C) Less than 1. D) Greater than 1. Show Answer Correct Answer: C) Less than 1. Next →Related QuizzesClass 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 10Class 11 Mathematics Chapter 11 Conic Sections Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books