This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 19 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 19 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A point moves so that the sum of its distances from (4, 0), (-4, 0) is 10. Find the equation of its locus? A) $16x^2+25y^2-400=0$. B) $25x^2+9y^2+225=0$. C) $9x^2+25y^2-225=0$. D) $9x^2+16y^2-144=0$. Show Answer Correct Answer: C) $9x^2+25y^2-225=0$. 2. Which type of conic section is this equation? $2x^2+8x+3y^2-6y-1=0$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: B) Ellipse. 3. Write the standard form of the circle by completing the square:x$^{2}$ + y$^{2}$ +10y = 39 A) X$^{2}$ + (y+5)$^{2}$ = 49. B) X$^{2}$ + (y+5)$^{2}$ = 64. C) (x+5)$^{2}$ + y$^{2}$ = 61. D) (x+5)$^{2}$ + y$^{2}$ = 100. Show Answer Correct Answer: B) X$^{2}$ + (y+5)$^{2}$ = 64. 4. What is the vertex? $-\frac{1}{12}\left(y-2\right)^2-3=x$ A) (-3, 2). B) (2, -3). C) (-2, -3). D) (-3, -2). Show Answer Correct Answer: A) (-3, 2). 5. What is the significance of the eccentricity in conic sections? A) Eccentricity measures the deviation of a conic section from being circular. B) Eccentricity determines the area of the conic section. C) Eccentricity indicates the symmetry of the conic section. D) Eccentricity is used to calculate the perimeter of the conic section. Show Answer Correct Answer: A) Eccentricity measures the deviation of a conic section from being circular. 6. Which conic section is represented by the equation $-9x^2+y^2-72x-153=0$ A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 7. What type of conic section if A = C? A) Parabola. B) Circle, Point, or an empty set. C) Hyperboola. D) Ellipse or an empty set. Show Answer Correct Answer: B) Circle, Point, or an empty set. 8. What is the center of the circle with endpoints of a diameter of (-5, 3) and (7, 5)? A) (1, 4). B) (4, 1). C) (1, 6). D) (6, 1). Show Answer Correct Answer: A) (1, 4). 9. If given the equation $\left(x+5\right)^2=\frac{1}{3}\left(y+4\right)$ $\left(x+5\right)^2=\frac{1}{3}\left(y+4\right)$ A) (5, -4). B) (-5, -4). C) (-15, -4). D) (15, -4). Show Answer Correct Answer: B) (-5, -4). 10. THE FOUR TYPES OF CONIC SECTIONs are:ELLIPSE, PARABOLA, AND HYPERBOLA AND CIRCLE ..... TRUE OR FALSE? A) FALSE. B) TRUE. C) All the above. D) None of the above. Show Answer Correct Answer: A) FALSE. 11. 6y$^{2}$-5x-2y + 5 = 0 A) Parabola. B) Circle. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: A) Parabola. 12. What is "a" in the equation:(y-9)$^{2 }$=$^{ }$-40(x+4) A) -10. B) 10. C) -40. D) 40. Show Answer Correct Answer: A) -10. 13. Identify the given conic sections that the equation represents. $-9x^2+y^2-72x-153=0$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 14. Find the equation of the parabola with vertex (5, 1) and Focus (2, 1). A) $(y-1)^2=12(x-5)$. B) $(y+1)^2=-12(x+5)$. C) $(y-1)^2=-12(x-5)$. D) $(x-5)^2=-12(y-1)$. Show Answer Correct Answer: C) $(y-1)^2=-12(x-5)$. 15. Graph the ellipse given by the equation $\frac{(x+2)^2}{4} + \frac{(y-1)^2}{9} = 1$ A) $(-2, 4)$ $(-2, -2)$. B) $(2, 1)$ $(-6, 1)$. C) $(-2, 4)$ $(-2, -2)$. D) $(-2, 1)$ $(-2, 1)$. Show Answer Correct Answer: A) $(-2, 4)$ $(-2, -2)$. 16. Find the equation of the hyperbola:$x^2-9y^2+2x-54y-161=0$ A) $\frac{\left(x+1\right)^2}{81}-\frac{\left(y+3\right)^2}{9}=1$. B) 81(x+1)2-9(y+3)2=1 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{\left(x+1\right)^2}{81}-\frac{\left(y+3\right)^2}{9}=1$. 17. Identify the conic section described by the equation-6x$^{2}$ + 4y$^{2}$ + 9x + y =-7. A) Circle. B) Parabola. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: D) Hyperbola. 18. Which parabola opens down with a vertex at (-3, 4)? A) Y = (x + 3)$^{2}$-4. B) Y =-(x + 3)$^{2}$-4. C) Y = (x + 3)$^{2}$ + 4. D) Y =-(x+3)$^{2}$ + 4. Show Answer Correct Answer: D) Y =-(x+3)$^{2}$ + 4. 19. The shape of a satellite dish can be described as a/an ..... Satellite dishes are this shape because radio waves are reflected from the surface of the dish and received into the focus. A) Parabola. B) Ellipse. C) Circle. D) Hyperbola. Show Answer Correct Answer: A) Parabola. 20. Classify this conic:x + 3 = (y-1)$^{2}$ A) Parabola Opens Up. B) Parabola Opens Down. C) Parabola Opens Right. D) Parabola Opens Left. Show Answer Correct Answer: C) Parabola Opens Right. 21. Write the equation of the circle with a radius of 3 and a center of (4, 2). A) ( x-4)$^{2}$ + (y-2)$^{2}$ = 3. B) ( x-2)$^{2}$ + (y-2)$^{2}$ = 3$^{2}$. C) ( x-4)$^{2}$ + (y-2)$^{2}$ = 3$^{2}$. D) ( x + 4)$^{2}$ + (y + 2)$^{2}$ = 3$^{2}$. Show Answer Correct Answer: C) ( x-4)$^{2}$ + (y-2)$^{2}$ = 3$^{2}$. 22. Identify the conic represented by the equation without completing the square:$16x^2+64x+9y^2-54y+1=0$ A) Parabola. B) Cirlce. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: D) Ellipse. 23. The vertices of a hyperbola are located at (1, 1) and (5, 1). Which are the coordinates of the center? A) (3, 1). B) (3, 0). C) (1, 3). D) (9, 1). Show Answer Correct Answer: A) (3, 1). 24. Find standard equation of parabola with focus (0, 4) and directrix y=-4 A) $y=\frac{x^2}{16}$. B) $y^2=4x$. C) $y^2=16x$. D) $y=\frac{x^2}{4}$. Show Answer Correct Answer: A) $y=\frac{x^2}{16}$. 25. Which conic's equation has 2 squares with the same signs and different leading coefficients? A) Parabola. B) Circle. C) Ellipse. D) Hyperbola. Show Answer Correct Answer: C) 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 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