Multiple Choice Questions on If the circles intersect at two distinct points then which one of the following is correct ........ for NDA Exam Preparation

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Multiple Choice Questions

If the circles intersect at two distinct points then which one of the following is correct ........

Mathematics (NDA) Coordinate Geometry
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    Directions (2 Questions)
    Consider the two circles (x − 1)2 + ( y − 3)2 = r 2  and x2 +y2− 8x + 2y + 8 = 0

    If the circles intersect at two distinct points, then which one of the following is correct?

    r = 1

    Incorrect Answer

    1< r < 2

    Correct Answer

    r = 2

    Incorrect Answer

    2 < r < 8

    Incorrect Answer
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    Explanation:

    Condition for two circles intersect at two distinct points,
    Distance between centre < Sum of radius
    5 < r + 3 => 2 < r
    But r > 1 because 5 \nless  1 + 3

    By: Munesh Kumari
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