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AP EAMCET201923 Apr 2019Morning ShiftMathematicsTrigonometric EquationsActual

In ( P Q R ), let ( P> Q ). If the radian measures of ( P ) and ( Q ) satisfy the equation (4 ^3 x-3 x+a=0,0 < a < 1 ), then the radian measure of ( R ) is

Options

  1. A( 3 )
  2. B( 2 )
  3. C( 2 3 )
  4. D( 5 6 )

Correct answer

C. ( 2 3 )

Step-by-step solution

Given, (4 ^3 x-3 x+a=0 ) ( aligned & & a & =3 x-4 ^3 x & & a & = 3 x & & 3 P & =a= 3 Q aligned ) [since (P ) and (Q ) satisfy the equation] ( array lc & 3 P= 3 Q & 3 P= ( -3 Q) & 3 P= -3 Q & 3(P+Q)= & P+Q= 3 (i) & P+ Q+ R= & R= - 3 = 2 3 array )

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