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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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In a right-angled triangle, the sides are a,  ba,\;b and cc, with cc as hypotenuse, and c−b≠1,  c+b≠1c - b \ne 1,\;c + b \ne 1. Then the value of (log⁡c+ba+log⁡c−ba)/(2log⁡c+ba×log⁡c−ba)\left( {{{\log }_{c + b}}a + {{\log }_{c - b}}a} \right)/\left( {2{{\log }_{c + b}}a \times {{\log }_{c - b}}a} \right) will be
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Correct option: D
1
Option D (1) is correct because the expression simplifies to log⁡a2log⁡a2\frac{{\log {a^2}}}{{\log {a^2}}}, which equals 1.

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