Q13 of 149 Page 16

Find the equation of the tangent line to the curve y = x2 – 2x + 7 which is

perpendicular to the line 5y – 15x = 13.

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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 13

Find the equation of the tangent line to the curve y = x2 – 2x + 7 which is

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Find the equation of all lines having slope 2 and that are tangent to the curve

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Find the equation of all lines of slope zero and that is tangent to the curve