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Properties of Triangle question

2024 · 29 Jan · Shift 1 · Q33
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  5. /2024 · 29 Jan · Shift 1 · Q33

Properties of Triangle question

2024 · 29 Jan · Shift 1 · Q33

JEE MainMathematicsProperties of TriangleMCQ+4 / −1
Let (5,a4)\left(5, \frac{a}{4}\right)(5,4a​) be the circumcenter of a triangle with vertices A(a,−2),B(a,6)\mathrm{A}(a,-2), \mathrm{B}(a, 6)A(a,−2),B(a,6) and C(a4,−2)C\left(\frac{a}{4},-2\right)C(4a​,−2). Let α\alphaα denote the circumradius, β\betaβ denote the area and γ\gammaγ denote the perimeter of the triangle. Then α+β+γ\alpha+\beta+\gammaα+β+γ is
  1. A
    60
  2. B
    62
  3. C
    53
  4. D
    30
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