The equation of tangent with slope m of the circle x2+y2=a2 are given by y=mx±m√1+a2
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=± m√1+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
⇒∣∣∣c√1+m2∣∣∣=a
⇒c√1+m2=±a
⇒c=±a√1+m2
⇒ The given statement is wrong