This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 11 Conic Sections – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 11 Conic Sections Quiz 6 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which conic section is represented by the equation9x$^{2}$-4y$^{2}$-54x-40y-55 = 0Rewrite the equation in standard form ..... A) Circle. B) Ellipse. C) Hyperbola. D) Parabola. Show Answer Correct Answer: C) Hyperbola. 2. (y)$^{2}$ =-8xWhat direction does this parabola open? A) Up. B) Down. C) Left. D) Right. Show Answer Correct Answer: C) Left. 3. What is the equation of the parabola with a focus at (4, 3) and a directrix at y=-1? A) $\left(x-4\right)^2=4\left(y-1\right)$. B) $\left(x-4\right)^2=-8\left(y-1\right)$. C) $\left(x-1\right)^2=8\left(y-4\right)$. D) $\left(x-4\right)^2=8\left(y-1\right)$. Show Answer Correct Answer: D) $\left(x-4\right)^2=8\left(y-1\right)$. 4. Find the equation of circle whose is centre at (-2, 3 ) and passing through the point (-5, 4 ) A) $\left(x-2\right)^2+\left(y+3\right)^2=10$. B) $\left(x+2\right)^2+\left(y-3\right)^2=10$. C) $\left(x+4\right)^2+\left(y-3\right)^2=5$. D) $\left(x-4\right)^2-\left(y+3\right)^2=5$. Show Answer Correct Answer: B) $\left(x+2\right)^2+\left(y-3\right)^2=10$. 5. Endpoints of major axis:$\frac{x^2}{25}+\frac{y^2}{49}=1$ A) (7, 0) and (-7, 0). B) (0, -7) and (0, 7). C) (5, 0) and (-5, 0). D) (0, -5) and (0, 5). Show Answer Correct Answer: B) (0, -7) and (0, 7). 6. Find the equation of a parabola that passes through point (10, -4) with vertex (0, -1). A) Y =$^{1}$/$_{4}$x$^{2}$-1. B) Y = $^{1}$/$_{20}$x$^{2 }$-1. C) Y = $^{1}$/$_{5}$x$^{2 }$-1. D) Y = $^{1}$/$_{20}$x$^{2}$ + 4. Show Answer Correct Answer: B) Y = $^{1}$/$_{20}$x$^{2 }$-1. 7. A line segment that connects two points on a circle without passing through the center? A) Radius. B) Sector. C) Segment. D) Chord. Show Answer Correct Answer: D) Chord. 8. Find the distance between the directrix and the vertex of the parabola $x^2+8y=0$ A) 1. B) 2. C) 4. D) 8. Show Answer Correct Answer: B) 2. 9. Identify the given conic sections that the equation represents. $2y^2+x=-20y-51$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: C) Parabola. 10. What is the center and radius given the equation, 8x+x$^{2}$-2y+y$^{2}$-64=0? A) Center:(-4, 1), Radius:9. B) Center:(4, 1), Radius:9. C) Center:(1, -4), Radius:81. D) Center:(-4, 1), Radius:81. Show Answer Correct Answer: A) Center:(-4, 1), Radius:9. 11. What is the focus of the parabola with equation $\left(y+5\right)^2=-12\left(x-2\right)$ A) (2, -5). B) (-5, 2). C) (1, -5 ). D) (-1, -5 ). Show Answer Correct Answer: D) (-1, -5 ). 12. $(x-4)^2+(y+7)^2=13$ A) $x^2+y^2+2x-10y+5=0$. B) $x^2+y^2-10x-7y+32=0$. C) $x^2+y^2-8x+14y+52=0$. D) $x^2+y^2-14x-10y+8=0$. Show Answer Correct Answer: C) $x^2+y^2-8x+14y+52=0$. 13. What is the directrix of the parabola $\left(x-4\right)^2=8\left(y+3\right)$ A) Y =-3. B) X = 5. C) Y =-5. D) Y = 2. Show Answer Correct Answer: C) Y =-5. 14. Find the standard form of the equation of the parabola whose focus (0, 4) and a directrix y=-4. A) Y = (1/16)x$^{2}$. B) Y$^{2}$ = 4x. C) Y$^{2}$ = 16x. D) Y = (1/4)x$^{2}$. Show Answer Correct Answer: A) Y = (1/16)x$^{2}$. 15. Which is the radius of the circle with equation(x-2)$^{2}$ + (y + 4)$^{2}$ = 9 A) 81. B) 3. C) 9. D) 4.5. Show Answer Correct Answer: B) 3. 16. It is a curve obtained as the double right circular cone intersects with a plane? A) CONIC SECTIONS. B) PARABOLA. C) DOUBLE RIGHT CIRCULAR CONE. D) A CIRCLE. Show Answer Correct Answer: A) CONIC SECTIONS. 17. What direction does the parabola point? $y^2=16x$ A) Up. B) Down. C) Left. D) Right. Show Answer Correct Answer: D) Right. 18. A chord that goes through the center of a circle. A) Chord. B) Radius. C) Diameter. D) Circle. E) Circumference. Show Answer Correct Answer: C) Diameter. 19. Determine the eccentricity of the conic section described by $r = \frac{4}{1-0.5\cos(\theta)}$ A) 0.5. B) 1. C) 1.5. D) 2. Show Answer Correct Answer: A) 0.5. 20. Identify the given conic sections that the equation represents. $x^2+y^2-2x+4y-11=0$ A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: A) Circle. 21. What value must 'c' be so that the graph of $4x^2+cy^2+2x-2y-18=0$ A) -8. B) 4. C) -4. D) 8. Show Answer Correct Answer: B) 4. 22. The term "conic section"derives from the fact that each curve is formed when a plane intersects a right circular cone. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 23. Identify the conic represented by the equation without completing the square:$x^2+y^2+12x-6y-4=0$ A) Parabola. B) Cirlce. C) Hyperbola. D) Ellipse. Show Answer Correct Answer: B) Cirlce. 24. What conic section is formed when the plane is horizontal or parallel to the base? A) Circle. B) Ellipse. C) Parabola. D) Hyperbola. Show Answer Correct Answer: A) Circle. 25. The equation $\frac{x^2}{b^2}+\frac{y^2}{a^2}=1$ A) A vertical ellipse with a center at the origin. B) A horizontal ellipse with center at the origin. C) A circumference with center at the origin. D) A vertical ellipse with center at (h, k). Show Answer Correct Answer: A) A vertical ellipse with a center at the origin. ← 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 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