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The line y = x −1 can be expressed in polar coordinates (r,θ ) as
  • a)
    r = cosθ
  • b)
    r = sinθ
  • c)
    r(cosθ + sinθ ) =1
  • d)
    r(cosθ - sinθ ) =1
Correct answer is option 'D'. Can you explain this answer?
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The line y = x −1 can be expressed in polar coordinates (r,&thet...
The line y = x is a linear equation that represents a straight line on a Cartesian coordinate plane. It is a diagonal line that passes through the origin (0,0) with a slope of 1. This means that for every increase of 1 unit in the x-coordinate, there is an increase of 1 unit in the y-coordinate. Similarly, for every decrease of 1 unit in the x-coordinate, there is a decrease of 1 unit in the y-coordinate. The line y = x has a positive slope and goes through all points where the x-coordinate is equal to the y-coordinate.
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The line y = x −1 can be expressed in polar coordinates (r,&thet...
Y=rsinθ
x=rcosθ

rsinθ=rcosθ -1
1=rcosθ-rsinθ
1=r(cosθ-sinθ)
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The line y = x −1 can be expressed in polar coordinates (r,θ ) asa)r = cosθb)r = sinθc)r(cosθ + sinθ ) =1d)r(cosθ -sinθ ) =1Correct answer is option 'D'. Can you explain this answer?
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