91.Find the equation of the tangent and normal to the given curves at the points given: y = x4 – 6x3 + 13x2 – 10x + 5 at ( 0 , 5 )
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92.Find the equation of the tangent and normal to the given curves at the points given: y = x4 –6x3+ 13x2 – 10x + 5 at (1 ,3)
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93.Find the equation of the tangent and normal to the given curves at the points given:
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94.Find the equation of the tangent and normal to the given curves at the points given:
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Long Answer Type
95.Find the equation of the tangent and normal to the given curves at the points given:
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96.Find the equation of the tangent and normal to the given curves at the points given: Also find the points of intersection where both tangent and normal cut the x-axis.
97.Find the equation of the tangent and normal to the given curves at the points given: Also find the points of intersection where both tangent and normal cut the x-axis.
The equation of curve is Differentiating both sides w.r.t. x, we get,.
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98.Find the equation of the tangent to the curve y = (x3 – 1) (x – 2) at points where the curve cuts the x-axis.
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Short Answer Type
99.Find the equation of the tangent to the curve at the point where it cuts the x-axis.
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Long Answer Type
100.
Prove that the line is a tangent to the curve at the point where the curve cuts y-axis.