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99 Percentile Qs Bank for JEE MainMathematicsInverse Trigonometric Functions

With usual notations in ABC , if C=90^ , then ⁻¹ ( a b+c )+ ⁻¹ ( b c+a )=

Options

  1. A4
  2. B6
  3. C3

Correct answer

A. 4

Step-by-step solution

⁻¹ ( a b+c )+ ⁻¹ ( b c+a )= ⁻¹ [ a b+c + b c+a 1- ( a b+c ) ( b c+a ) ]= ⁻¹ [ a c+a²+b c+b² a c+b c+a b+c²-a b ]= ⁻¹ ( a c+b c+c² a c+b c+c² ) [ a²+b²=c² . , refer diagram ]= ⁻¹(1)= 4

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