Q. 274.2( 20 Votes )
The line y = x +
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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