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Question

The equation of tangent parallel to the line y=x drawn to the circle x2+y2=9 is/are
  1. y=x+32
  2. y=x+2 
  3. y=x2
  4. y=x32


Solution

The correct options are
A y=x+32
D y=x32
Given equation of circle is x2+y2=9
Let the tangent be y=x+c.
Now, the distance from centre C(0,0) to the tangent is equal to the radius
c2=3c=±32

Hence, equation of tangents are 
y=x±32

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