Verified Solution • 2025–26 Session moderate

QJEEM21Maaa7f: JEE Main 2021 Mathematics - Class 11 JEEM21Maaa7f Solution: Consider a circle C which touches the y-axis at (0, 6) and cuts …

Consider a circle C which touches the y-axis at (0, 6) and cuts off an intercept 656\sqrt 5 on the x-axis. Then the radius of the circle C is equal to :

Multiple Choice Options

  • A 53\sqrt {53}
  • B 9
  • C 8
  • D 82\sqrt {82}

Step-by-Step Verified Solution

JEE Main 2021 (Online) 27th July Evening Shift Mathematics - Circle Question 81 English Explanation

r=62+(3+5)2r = \sqrt {{6^2} + {{\left( {3 + \sqrt 5 } \right)}^2}}

=36+45=9= \sqrt {36 + 45} = 9

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