Question

Find the equation of the tangent line to the curve y = x² – 2x +7 which is
(a) parallel to the line 2x – y + 9 = 0
(b) perpendicular to the line 5y – 15x = 13.

Answer 1

Ifa tangent is parallel to the line 2x − y + 9 = 0, then the slope of the tangent is equal to the slope of the line. Thus, the equation of the tangent passing through (2, 7) is given by, Hence, the equation of the tangent line to the given curve (which is parallel to line 2x − y + 9 = 0) is

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