If the length of the chord of the circle, x 2 + y 2 = r 2 ( r > 0 ) along the line, y - 2 x = 3 is r ,…

If the length of the chord of the circle, x2+y2=r2(r>0) along the line, y-2x=3 is r, then r2 is equal to:
  1. 95
  2. 12
  3. 245
  4. 125

Solution

AB=r,AD=r2

CD=rsin60°=3r2
⇒0+0-312+22=3r2⇒r=235⇒r2=125

Asked in: JEE Main 2020 (05 Sep Shift 2)

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