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16. Tangents and Normals
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Q2 of 149 Page 16

Find the slope of the tangent to the curve x = t2 + 3t – 8, y = 2t2 – 2t – 5 at t = 2.

Given that x = t2 + 3t – 8, y = 2t2 – 2t – 5




Now,



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29

The normal to the curve x2 = 4y passing through (1, 2) is

1

Find the point on the curve y = x2 – 2x + 3, where the tangent is parallel to x-axis.

3

If the tangent line at a point (x, y) on the curve y = f(x) is parallel to x-axis, then write the value of

4

Write the value of if the normal to the curve y = f(x) at (x, y) is parallel to y-axis.

Questions · 149
16. Tangents and Normals
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