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Question

The equation of tangent with slope m of the circle x2+y2=a2 are given by y=mx±m1+a2


  1. True

  2. False


Solution

The correct option is B

False


We want to find the equation of the tangent whose slope is m. the equation given to us is of the form y

=mx+c. we have to check if c=± m1+a2

Let the equation of the circle be y=mx+c

We know the perpendicular from center to the tangent is equal to radius.

(we will be using this condition in solving problem related to tangents)

Distance of (0,0) from mx-y+c=0,=4

c1+m2=a

c1+m2=±a

c=±a1+m2

The given statement is wrong

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