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16. Tangents and Normals
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Q14 of 149 Page 16

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

finding the slope of the tangent by differentiating the curve



Now according to question, the slope of all tangents is equal to 2, so




We can see that LHS is always greater than or equal to 0, while RHS is always negative. Hence no tangent is possible


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

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

15

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

16

Find the equation of the tangent to the curve which is parallel to the line 4x – 2y + 5 = 0.

Questions · 149
16. Tangents and Normals
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