JEE Questions for Maths Conic Section Quiz 12 - MCQExams.com


Maths-Conic Section-18303.png

  • Maths-Conic Section-18304.png
  • 2)
    Maths-Conic Section-18305.png

  • Maths-Conic Section-18306.png

  • Maths-Conic Section-18307.png

Maths-Conic Section-18309.png

  • Maths-Conic Section-18310.png
  • 2)
    Maths-Conic Section-18311.png

  • Maths-Conic Section-18312.png

  • Maths-Conic Section-18313.png

Maths-Conic Section-18315.png

  • Maths-Conic Section-18316.png
  • 2)
    Maths-Conic Section-18317.png

  • Maths-Conic Section-18318.png
  • None of these

Maths-Conic Section-18320.png

  • Maths-Conic Section-18321.png
  • 2)
    Maths-Conic Section-18322.png

  • Maths-Conic Section-18323.png
  • None of these

Maths-Conic Section-18325.png

  • Maths-Conic Section-18326.png
  • 2)
    Maths-Conic Section-18327.png

  • Maths-Conic Section-18328.png

  • Maths-Conic Section-18329.png

Maths-Conic Section-18331.png
  • (1, 1)
  • (4, 1)
  • (4, 4)
  • (1, 4)

Maths-Conic Section-18333.png

  • Maths-Conic Section-18334.png
  • 2)
    Maths-Conic Section-18335.png

  • Maths-Conic Section-18336.png
  • None of these

Maths-Conic Section-18338.png

  • Maths-Conic Section-18339.png
  • 2)
    Maths-Conic Section-18340.png

  • Maths-Conic Section-18341.png

  • Maths-Conic Section-18342.png

Maths-Conic Section-18344.png

  • Maths-Conic Section-18345.png
  • 2)
    Maths-Conic Section-18346.png

  • Maths-Conic Section-18347.png

  • Maths-Conic Section-18348.png
The eccentricity of an ellipse is
  • 1
  • Greater than 1
  • Less than 1
  • Zero

Maths-Conic Section-18351.png

  • Maths-Conic Section-18352.png
  • 2)
    Maths-Conic Section-18353.png

  • Maths-Conic Section-18354.png

  • Maths-Conic Section-18355.png

Maths-Conic Section-18357.png
  • 4
  • 3

  • Maths-Conic Section-18358.png

  • Maths-Conic Section-18359.png
If the length of the major axis of an ellipse is 17/8 times the length of the minor axis, then the eccentricity of the ellipse is

  • Maths-Conic Section-18361.png
  • 2)
    Maths-Conic Section-18362.png

  • Maths-Conic Section-18363.png

  • Maths-Conic Section-18364.png

  • Maths-Conic Section-18365.png

Maths-Conic Section-18548.png
  • A pair of straight lines
  • An ellipse
  • A hyperbola
  • A parabola
S and T are the foci of an ellipse and B is end point of the minor axis. If STB is an equilateral triangle, the eccentricity of the ellipse is

  • Maths-Conic Section-18367.png
  • 2)
    Maths-Conic Section-18368.png

  • Maths-Conic Section-18369.png

  • Maths-Conic Section-18370.png

Maths-Conic Section-18372.png

  • Maths-Conic Section-18373.png
  • 2)
    Maths-Conic Section-18374.png

  • Maths-Conic Section-18375.png

  • Maths-Conic Section-18376.png

Maths-Conic Section-18378.png

  • Maths-Conic Section-18379.png
  • 2)
    Maths-Conic Section-18380.png

  • Maths-Conic Section-18381.png

  • Maths-Conic Section-18382.png

Maths-Conic Section-18384.png

  • Maths-Conic Section-18385.png
  • 2)
    Maths-Conic Section-18386.png

  • Maths-Conic Section-18387.png
  • None of these

Maths-Conic Section-18388.png
  • An ellipse
  • A circle
  • A pair of straight lines
  • A hyperbola

Maths-Conic Section-18390.png
  • 4
  • 6
  • 8
  • 12

Maths-Conic Section-18392.png

  • Maths-Conic Section-18393.png
  • 2)
    Maths-Conic Section-18394.png

  • Maths-Conic Section-18395.png

  • Maths-Conic Section-18396.png
The eccentricity of a hyperbola passing through the points (3, 0), (3√2,will be

  • Maths-Conic Section-18398.png
  • 2)
    Maths-Conic Section-18399.png

  • Maths-Conic Section-18400.png

  • Maths-Conic Section-18401.png
The one which does not represent a hyperbola is

  • Maths-Conic Section-18403.png
  • 2)
    Maths-Conic Section-18404.png

  • Maths-Conic Section-18405.png

  • Maths-Conic Section-18406.png
The equation of the hyperbola whose conjugate axis is 5 and the distance between the foci is 13 is

  • Maths-Conic Section-18408.png
  • 2)
    Maths-Conic Section-18409.png

  • Maths-Conic Section-18410.png

  • Maths-Conic Section-18411.png
The length of the transverse axis of a hyperbola is 7 and it passes through the point (5, –2). The equation of the hyperbola is

  • Maths-Conic Section-18413.png
  • 2)
    Maths-Conic Section-18414.png

  • Maths-Conic Section-18415.png
  • None of these
If (4,and (–4,be the vertices and (6,and (–6,be the foci of a hyperbola, then its eccentricity is

  • Maths-Conic Section-18417.png
  • 2

  • Maths-Conic Section-18418.png

  • Maths-Conic Section-18419.png

Maths-Conic Section-18421.png
  • 4
  • 6
  • 8
  • 10

Maths-Conic Section-18423.png

  • Maths-Conic Section-18424.png
  • 2)
    Maths-Conic Section-18425.png

  • Maths-Conic Section-18426.png
  • None of these
If the length of the transverse and conjugate axes of a hyperbola be 8 and 6 respectively, then the difference focal distances of any point of the hyperbola will be
  • 8
  • 6
  • 14
  • 2
If (0, ±and (0, ±be the foci and vertices of a hyperbola, then its equation is

  • Maths-Conic Section-18429.png
  • 2)
    Maths-Conic Section-18430.png

  • Maths-Conic Section-18431.png

  • Maths-Conic Section-18432.png

Maths-Conic Section-18434.png
  • A parabola
  • An ellipse
  • A hyperbola
  • None of these

Maths-Conic Section-18436.png
  • A straight line
  • A circle
  • An ellipse
  • A hyperbola
If the centre, vertex and focus of a hyperbola be (0, 0), (4,and (6,respectively, then the equation of the hyperbola is

  • Maths-Conic Section-18438.png
  • 2)
    Maths-Conic Section-18439.png

  • Maths-Conic Section-18440.png

  • Maths-Conic Section-18441.png
The eccentricity of the hyperbola can never be equal to

  • Maths-Conic Section-18443.png
  • 2)
    Maths-Conic Section-18444.png

  • Maths-Conic Section-18445.png
  • 2
A hyperbola passes through the points (3,and (–17,and has its centre at origin and transverse axis is along x-axis. The length of its transverse axis
  • 2
  • 4
  • 6
  • None of these

Maths-Conic Section-18448.png
  • Circle
  • Parabola
  • Hyperbola
  • Ellipse

Maths-Conic Section-18450.png
  • 8
  • 7
  • 6
  • 4
The equation of the hyperbola in the standard from (with transverse axis along the x-axis) having the length of the latus rectum = 9 units and eccentricity = 5/4 is

  • Maths-Conic Section-18452.png
  • 2)
    Maths-Conic Section-18453.png

  • Maths-Conic Section-18454.png

  • Maths-Conic Section-18455.png

  • Maths-Conic Section-18456.png

Maths-Conic Section-18458.png

  • Maths-Conic Section-18459.png
  • 2)
    Maths-Conic Section-18460.png

  • Maths-Conic Section-18461.png

  • Maths-Conic Section-18462.png
The locus of the centre of a circle, which touches externally the given two circles, is
  • Circle
  • Parabola
  • Hyperbola
  • Ellipse

Maths-Conic Section-18464.png
  • 1
  • 2)
    Maths-Conic Section-18465.png
  • 3

  • Maths-Conic Section-18466.png

Maths-Conic Section-18468.png

  • Maths-Conic Section-18469.png
  • 2)
    Maths-Conic Section-18470.png

  • Maths-Conic Section-18471.png

  • Maths-Conic Section-18472.png

Maths-Conic Section-18474.png
  • (±4, 0)
  • (0, ±4)
  • (0, ±4)
  • (0, ±5)

Maths-Conic Section-18476.png

  • Maths-Conic Section-18477.png
  • 2)
    Maths-Conic Section-18478.png

  • Maths-Conic Section-18479.png

  • Maths-Conic Section-18480.png

Maths-Conic Section-18482.png

  • Maths-Conic Section-18483.png
  • 2)
    Maths-Conic Section-18484.png

  • Maths-Conic Section-18485.png

  • Maths-Conic Section-18486.png

Maths-Conic Section-18488.png
  • An ellipse
  • A circle
  • A hyperbola
  • A parabola
The locus of a point which moves such that the difference of its distances from two fixed points is always a constant is
  • A straight line
  • A circle
  • An ellipse
  • A hyperbola

Maths-Conic Section-18490.png

  • Maths-Conic Section-18491.png
  • 2)
    Maths-Conic Section-18492.png

  • Maths-Conic Section-18493.png

  • Maths-Conic Section-18494.png
The distance between the foci of a hyperbola is double the distance between its vertices and the length of its conjugate axis is 6. The equation of the hyperbola referred to its axes as axes of co-ordinate is

  • Maths-Conic Section-18496.png
  • 2)
    Maths-Conic Section-18497.png

  • Maths-Conic Section-18498.png

  • Maths-Conic Section-18499.png

Maths-Conic Section-18501.png
  • Parabola
  • Ellipse
  • Hyperbola
  • None of these
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