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QJEEM19Ma16de: JEE Main 2019 Mathematics - Class 11 JEEM19Ma16de Solution: If the angle of intersection at a point where the two circles…

If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is 90o, then the length (in cm) of their common chord is :

Multiple Choice Options

  • A 135{{13} \over 5}
  • B 6013{{60} \over {13}}
  • C 12013{{120} \over {13}}
  • D 132{{13} \over 2}

Step-by-Step Verified Solution

JEE Main 2019 (Online) 12th April Morning Slot Mathematics - Circle Question 109 English Explanation C1C2 = 122+52\sqrt {{{12}^2} + {5^2}} = 13

Area of Δ\Delta AC1C2 = 12.12.5=12.13AB2⇒AB=12013units{1 \over 2}.12.5 = {1 \over 2}.13{{AB} \over 2} \Rightarrow AB = {{120} \over {13}}units

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