Q. 274.2( 20 Votes )

# The line y = x +

Answer :

It is given that tangent to the curve y2 = 4x

Then differentiating with respect to x, we have, Then, the equation of the tangent at any given point (x,y) is given by, The given line is y = x + 1

Slope of the line = 1

The line y = x + 1 is a tangent to the given curve if the slope of the line is equal to the slope of the tangent.

Also, the line must intersect the curve.

Then, we have, y =2

Now, y = x+1

x = y -1

x = 2-1 = 1

Therefore, the line y = x+1 is a tangent to the given curve at the point (1, 2).

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