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KCET2014MathematicsThree Dimensional Geometry

If ( x= 3 4 , < x < 3 2 ), then the value of ( x 2 ) is

Options

  1. A( 3 10 )
  2. B( - 3 10 )
  3. C( - 1 10 )
  4. D( 1 10 )

Correct answer

C. ( - 1 10 )

Step-by-step solution

Given, ( x= 3 4 , In the second quadrant, ( ( x 2 ) ) is negative. [ array l 2 x=1+ 2 x=1+ ( 3 4 ) 2= (16+9) 16 = 25 16 x= 5 4 array ] Thus, ( x=- 4 5 . ) since ( . Using the formula, ( 2 A=2 2 A-1 ), ( 2 2 ( x 2 )=1+ x=1+ (- 4 5 ) ) ( 2 2 ( x 2 )= 1 5 ) ( 2 ( x 2 )= 1 10 ) ( ( x 2 )= 1 10 =- 1 10 . ) since ( x 2 ) lies in the quadrant II

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