Q. 193.9( 36 Votes )

# Find the points o

Answer :

It is given that x2 + y2 – 2x – 3 = 0

Now, differentiating both sides with respect to x, we get   We know that the tangents are parallel to the x –axis if the slope of the tangent is 0 ie, 1-x = 0

x = 1

But, x2 + y2 – 2x – 3 = 0 for x = 1

y2 = 4

y = 2

Therefore, the points at which the tangents are parallel to the x-axis are (1,2) and (1, -2).

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