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NCERT Solutions for class 11 Maths | Chapter 11 - Conic Sections

Free download in PDF Class 11 Maths Chapter 11 Conic Sections Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries./p>

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(1) The length of the latus rectum of x2 = 9y is equal to _______.
[A] 3 units
[B] 9/4 units
[C] 9 units
[D] -3 units
Answer: 9 units
(2) (x2/9)+(y2/25) = 1 represents a vertical ellipse.
[A] True
[B] False
Answer: True
(3) The equation of the directrix of the parabola y2 = 16x is _______.
[A] 4
[B] -4
[C] 16
[D] -16
Answer: -4
(4) The focal distance of a point on the parabola y2 = 16x is 5. The abcissa of this point is _____.
[A] 1
[B] 4
[C] -1
[D] 5
Answer: 1
(5) The equation of common tangents to the curves x2 + 4 y2 = 8 and y2 = 4 x are
[A] 2 y – x – 4 = 0 and 2 y + x + 4 = 0
[B] y – 2 x – 4 = 0 and y + 2 x + 4 = 0
[C] 2 y – x – 2 = 0 and 2 y + x + 2 = 0
[D] y – 2 x – 2 = 0 and y + 2 x + 2 = 0
Answer: 2 y – x – 4 = 0 and 2 y + x + 4 = 0
(6) The line y = x – 1 touches the ellipse 3 x2 + 4 y2 = 12, at
[A] (1/2, –1/2)
[B] (3, 2)
[C] (–1, –2)
[D] None of these
Answer: None of these
(7) Equation of the ellipse whose axes are co–ordinate axes and whose length of latus rectum, and eccentricity are equal and equal to ½ each is
[A] 6 x2 + 12 yx2 = 1
[B] 12 xx2 + 6 yx2 = 1
[C] 3 xx2 + 12 yx2 = 1
[D] 9 xx2 + 12 yx2 = 1
Answer: 9 xx2 + 12 yx2 = 1
(8) The equation 3 (x + y – 5)2 + 2 (x – y + 7)2 = 6 represents an ellipse, whose centre is
[A] (–1, 6)
[B] (6, –1)
[C] (1, –6)
[D] (–6, 1)
Answer: (–1, 6)
(9) Foci of the ellipse; 25 (x + 1)2 +9(y +2)2 = 225, are<
[A] (–1, –2) and (–1, –6)
[B] (–2, 1) and (–2, 6)
[C] (–1, 2) and (–1, –6)
[D] (–1, 2) and (–1, –6)
Answer: (–1, 2) and (–1, –6)
(10) The area of the triangle formed by the points on the ellipse 25x2 + 16y2 = 400 whose eccentric angles are p/2, p and 3p/2 is
[A] 10 sq. units
[B] 20 sq. units
[C] 30 sq. units
[D] 40 sq. units
Answer: 20 sq. units
(11) The general equation of second order ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 represents an ellipse if (Δ = abc + 2fgh - af2 - bg2 - ch2 )
[A] Δ ≠ 0 and h2 < ab
[B] Δ ≠ 0 and h2 > ab
[C] Δ ≠ 0 and h2 ≠ ab
[D] Δ ≠ 0 and h2 = ab
Answer: Δ ≠ 0 and h2 < ab
(12) The center of the circle 4x2+4y2-8x+12y-25=0 is ?
[A] (2,-3)
[B] (-2,3)
[C] (-4,6)
[D] (4,-6)
Answer: (2,-3)
(13) The focus of parabola y2 = 8x is
[A] (-2, 0)
[B] focus and the vertex
[C] (0, 2)
[D] (0, -2)
Answer: (-2, 0)
(14) A chord of the parabola is a focal chord if it passes through ____
[A] the center
[B] the focus
[C] the vertex
[D] None of these
Answer: the focus
(15) The length of latus rectum of the ellipse x2 /36 + y2 /49 = 1 is
[A] 49/6
[B] 98/6
[C] 36/7
[D] 72/7
Answer: 72/7
(16) The equation of parabola with vertex (-2, 1) and focus (-2, 4) is
[A] 10y = x2 + 4x + 16
[B] 12y = x2 + 4x + 16
[C] 12y = x2 + 4x
[D] 12y = x2 + 4x + 8
Answer: 12y = x2 + 4x + 16
(17) The foci of an ellipse are (±2, 0) and its eccentricity is 1/2 then its equation is
[A] x2 /12 + y2 /16 = 1
[B] x2 /16 + y2 /12 = 1
[C] x2 /4 + y2 /12 = 1
[D] x2 /12 + y2 /4 = 1
Answer: x2 /16 + y2 /12 = 1
(18) If a chord the circle x2 + y2 = 8 makes equal intercepts of lenghtsa on the coordinate axes, then
[A] |a| < 8
[B] |a| < 4
[C] |a| > 4
[D] |a| > 8
Answer: |a| < 4
(19) The equation of parabola with vertex at origin the axis is along x-axis and passing through the point (2, 3) is
[A] y2 = 9x
[B] y2 = 9x/2
[C] y2 = 2x
[D] y2 = 2x/9
Answer: y2 = 9x/2
(20) The equation of the circle having radius 3 units and which touches the y-axis at the origin and lies in the 1st and 4thquadrant is ____.
[A] x2 + y2 = 9
[B] x2 -6x + 6y + y2 = 0
[C] x2 - 6y + y2 = 0
[D] x2 - 6x + y2 = 0
Answer: x2 - 6x + y2 = 0

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