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Circle and System of Circles Test - 9

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Circle and System of Circles Test - 9
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  • Question 1
    4 / -1
    If x/α + y/β = 1 touches the circles x2 + y2 = a2, then point (1/α, 1/β) lies on a/ am
  • Question 2
    4 / -1
    Angle between tangents drawn to circles x2 + y2 = 20, from the point (6, 2) is
  • Question 3
    4 / -1
    The locus of a point which moves, so that the ratio of the length of the tangents to the circle x2 + y2 + 4x + 3 = 0 and x2 + y2 - 6x + 5 = 0 is 2 : 3 is
  • Question 4
    4 / -1
    Two tangents to the circle x2 + y2 = 4 at the points A and B meet at P(-4, 0). The area of the quadrilateral PAOB, where O is the origin, is
  • Question 5
    4 / -1
    If y = 3x is the tangent to a circle with centre (1, 1), then the other tangent drawn through (0, 0) to the circle is
  • Question 6
    4 / -1
    The equations of the tangents to circle 5x2 + 5y2 = 1, parallel to line 3x + 4y = 1 are
  • Question 7
    4 / -1
    The measure of the chord intercepted circle x2 + y2 = 9 and the line x - y + 2 = 0 is
  • Question 8
    4 / -1
    The location for the l1x + m1y + n1 = 0 to be conjugate with respect to the circle x2 + y2 = r2, is
    Solution

  • Question 9
    4 / -1
    The locus of the mid - points of the chord of the circle x2 + y2 = 4 which subtends a right angle at the origin is
  • Question 10
    4 / -1
    The locus of the point of intersection of the tangents at the extremeties of a chord of the circle x2 + y2 - 2ax = 0 passes throught the point, is
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