Maths-
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Easy

Question

The transformed equation of 14 x to the power of 2 end exponent minus 4 x y plus 11 y to the power of 2 end exponent minus 36 x plus 48 y plus 41 equals 0 when the axes are translated to (1, –2) is

  1. 14 x to the power of 2 end exponent plus 4 x y minus 11 y to the power of 2 end exponent equals 25    
  2. 14 x to the power of 2 end exponent minus 4 x y plus 11 y to the power of 2 end exponent equals 25    
  3. 14 x to the power of 2 end exponent plus 4 x y plus 11 y to the power of 2 end exponent equals 25    
  4. none of these    

hintHint:

replace the values of new x and y coordinates and solve.

The correct answer is: 14 x to the power of 2 end exponent minus 4 x y plus 11 y to the power of 2 end exponent equals 25
 
 


    14 x to the power of 2 end exponent minus 4 x y plus 11 y to the power of 2 end exponent equals 25

    when the origin is shifted to (1,-2), we get
    x= x’ + 1 and y=y’-2
    replacing this in the equation, we get
    14x’2+11y’2 -4x’y’-25=0

    shifting of origin is done when the aes are shifted parallely to a different location on the cartesian plane.
    this results in change  of coordinates as: x=x'+h and y=y'+k
    where h,k are the new origin.

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