# Find the equation of the tangent line to the curve y = x2 – 2x + 7 which isperpendicular to the line 5y – 15x = 13.  (CBSE 2014)

slope of given line is 3

finding the slope of the tangent by differentiating the curve

m(tangent) = 2x – 2

since both lines are perpendicular to each other

(2x – 2) × 3 = – 1

since this point lies on the curve, we can find y by substituting x

therefore, the equation of the tangent is

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