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Circle question

2022 · 29 Jun · Shift 2 · Q30
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  5. /2022 · 29 Jun · Shift 2 · Q30

Circle question

2022 · 29 Jun · Shift 2 · Q30

JEE MainMathematicsCircleMCQ+4 / −1
Let a triangle ABC be inscribed in the circle x2−2(x+y)+y2=0{x^2} - \sqrt 2 (x + y) + {y^2} = 0x2−2​(x+y)+y2=0 such that ∠BAC=π2\angle BAC = {\pi \over 2}∠BAC=2π​. If the length of side AB is 2\sqrt 22​, then the area of the Δ\DeltaΔ ABC is equal to :
  1. A
    1
  2. B
    (6+3)/2\left( {\sqrt 6 + \sqrt 3 } \right)/2(6​+3​)/2
  3. C
    (3+3)/4\left( {3 + \sqrt 3 } \right)/4(3+3​)/4
  4. D
    (6+23)/4\left( {\sqrt 6 + 2\sqrt 3 } \right)/4(6​+23​)/4
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