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CAT 2023 Set-2 | Quantitative Aptitude | Question: 18

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A triangle is drawn with its vertices on the circle $C$ such that one of its sides is a diameter of $C$ and the other two sides have their lengths in the ratio $a: b$. If the radius of the circle is $r$, then the area of the triangle is

  1. $\frac{2 a b r^{2}}{a^{2}+b^{2}}$
  2. $\frac{a b r^{2}}{a^{2}+b^{2}}$
  3. $\frac{a b r^{2}}{2\left(a^{2}+b^{2}\right)}$
  4. $\frac{4 a b r^{2}}{a^{2}+b^{2}}$

     

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