CBSE  /  Class 11  /  Maths  /  Conic Sections

  • 1. 
    The locus of the point from which the tangent to the circles x² + y² - 4 = 0 and x² + y² - 8x + 15 = 0 are equal is given by the equation

  • 8x + 19 = 0
  • 8x - 19 = 0
  • 4x - 19 = 0
  • 4x + 19 = 0

  • 2. 
    The perpendicular distance from the point (3, -4) to the line 3x – 4y + 10 = 0

  • 7
  • 8
  • 9
  • 10

  • 3. 
    A man running a race course notes that the sum of the distances from the two flag posts from him is always 10 meter and the distance between the flag posts is 8 meter. The equation of posts traced by the man is

  • x²/9 + y²/5 = 1
  • x²/9 + y2 /25 = 1
  • x²/5 + y²/9 = 1
  • x²/25 + y²/9 = 1

  • 4. 
    The center of the ellipse (x + y - 2)² /9 + (x - y)² /16 = 1 is

  • (0, 0)
  • (0, 1)
  • (1, 0)
  • (1, 1)

  • 5. 
    The parametric coordinate of any point of the parabola y² = 4ax is

  • (-at², -2at)
  • (-at², 2at)
  • (a sin²t, -2a sin t)
  • (a sin t, -2a sin t)

  • 6. 
    The equation of parabola with vertex at origin the axis is along x-axis and passing through the point (2, 3) is

  • y² = 9x
  • y² = 9x/2
  • y² = 2x
  • y² = 2x/9

  • 7. 
    At what point of the parabola x² = 9y is the abscissa three times that of ordinate

  • (1, 1)
  • (3, 1)
  • (-3, 1)
  • (-3, -3)

  • 8. 
    The number of tangents that can be drawn from (1, 2) to x² + y² = 5 is

  • 0
  • 1
  • 2
  • More than 2

  • 9. 
    In an ellipse, the distance between its foci is 6 and its minor axis is 8 then its eccentricity is

  • 4/5
  • 1/√52
  • 3/5
  • 1/2

  • 10. 
    If the length of the tangent from the origin to the circle centered at (2, 3) is 2 then the equation of the circle is

  • (x + 2)² + (y - 3)² = 3²
  • (x - 2)² + (y + 3)² = 3²
  • (x - 2)² + (y - 3)² = 3²
  • (x + 2)² + (y + 3)² = 3²
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