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AP EAMCET201920 Apr 2019Morning ShiftMathematicsInverse Trigonometric FunctionsActual

If ( x h y= , x h y= ) and (4 x=3 ). Then, ( h^2 y= )

Options

  1. A( 4 5 )
  2. B( 9 16 )
  3. C( 9 25 )
  4. D( 16 25 )

Correct answer

D. ( 16 25 )

Step-by-step solution

( aligned & Since, x= 3 4 & ^2 x= 9 25 & and ^2 x= 16 25 & and x y= , x y= & ^2 + ^2 =1 & ( x y)^2+( x y)^2=1 & 9 25 (1+ ^2 y )+ 16 25 ^2 y=1 & 9+9 ^2 y+16 ^2 y=25 aligned ) ( ^2 y= 16 25 ) Hence, option (4) is correct.

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