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Circle question

2021 · 16 Mar · Shift 2 · Q37
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  5. /2021 · 16 Mar · Shift 2 · Q37

Circle question

2021 · 16 Mar · Shift 2 · Q37

JEE MainMathematicsCircleMCQ+4 / −1
Let the lengths of intercepts on x-axis and y-axis made by the circle x2 + y2 + ax + 2ay + c = 0, (a < 0) be 2 2{\sqrt 2 }2​ and 2 5{\sqrt 5 }5​, respectively. Then the shortest distance from origin to a tangent to this circle which is perpendicular to the line x + 2y = 0, is equal to :
  1. A
    10{\sqrt {10} }10​
  2. B
    6{\sqrt {6} }6​
  3. C
    11{\sqrt {11} }11​
  4. D
    7{\sqrt {7} }7​
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