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Circle and System of Circles Test - 18

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Circle and System of Circles Test - 18
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  • Question 1
    4 / -1
    A tangent PT is drawn to the circle x2 + y2 = 4 at the point P(√3, 1). A straight line L, perpendicular to PT is a tangent to the circle (x - 3)2 + y2 = 1
    A common tangent of the two circle is
  • Question 2
    4 / -1
    A tangent PT is drawn to the circle χ2 + y2 = 4 at the point P(√3, 1). A straight line L, perpendicular to PT is a tangent to the circle (χ - 3)2 + y2 = 1
    A possible equation L is
  • Question 3
    4 / -1
    The equation of the tangent from the point (0, 1) to the circle x2 + y2 - 2x - 6y + 6 = 0, is
  • Question 4
    4 / -1
    If m1 and m2 are the slopes of tangents to the circle x2 + y2 = 4 from the point (3, 2), then m1 - m2 is equal to
  • Question 5
    4 / -1
    The angle between the tangents dawn at the points (5, 12) and (12, - 5) to the circles x2 + y2 = 169 is
  • Question 6
    4 / -1
    Tangents are drawn from the point (17, 7) to the circle x2 + y2 = 1692
    Statement I The tangents are mutually perpendicular
    Statement II The locus of the points from which mutually perpendicular tangents can be drawn to the given circles is x2 + y2 = 338
  • Question 7
    4 / -1
    If 3x + y + k = 0 is a tangent to the circle x2 + y2 = 10, then the values of k are
  • Question 8
    4 / -1
    From the point P(16, 7), tangents PQ and PR are drawn to circle x2 + y2 - 2x - 4y - 20 = 0. If C is the centre of the circle, then area of equilateral PQCR is
  • Question 9
    4 / -1
    The condition for a line y = 2x + c to touch the circle x + y2 = 16 is
  • Question 10
    4 / -1
    The equation of the common tangent of the two touching circles, y2 + x2 - 6x -12y + 37 = 0 and x2 + y2 - 6y + 7 = 0 is
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