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MHT CET202121 Sep 2021Morning ShiftMathematicsStraight LinesActual

If the polar co-ordinates of a point are ( 2 , 4 ) , then its Cartesian co-ordinates are

Options

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

Correct answer

D. (1,1)

Step-by-step solution

Polar coordinates z = a + ib are ( 2 , 4 ) 2 = a ^2+ b ^2 a ^2+ b ^2=2 and ( 4 )= b a b a =1 a = b a ^2+ b ^2=2 2 a ^2=2 a ^2=1 a = 1 Since point lies in 1^ st quadrant, a=1 b=1 Cartesian coordinates are (1,1)

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