Short Answer TypeFind points on the curve 
at which the tangents are (i) parallel to the x-axis (ii) parallel to the y-axis.
Long Answer TypeFind points on the curve 
at which the tangents are (i) parallel to the x-axis (ii) parallel to the y-axis.
The equation of curve is
...(1)
Differentiating both sides w.r.t.x, we get,
(i) For the points on the curve, where tangents are parallel to x-axis
Putting x = 0 in (1), we get,
(ii) For the points on the curve, where tangents are parallel to y-axis.
Putting y = 0 in (1), we get
For the curve y = 4x3 – 2x5, find all the points at which the tangent passes through the origin.
Multiple Choice Questions
Long Answer TypeIf the curve αx2 + βy2 = 1 and α' x2 + β'y2 = 1 intersect orthogonally, prove that (α – α') β β') = (β – β') α α'.
Multiple Choice Questions
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