Find points on the curve `x^2/9 + y^2/6 = 1` at which the tangents are
(i) parallel to x-axis
(ii) parallel to y-axis
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Solution
Hence, the points at which the tangents are parallel to the x-axis are (0, 4) and (0, − 4).
(ii) The tangent is parallel to the y-axis if the slope of the normal is 0, which gives
Hence, the points at which the tangents are parallel to the y-axis are (3, 0) and (− 3, 0).
Concept: Tangents and Normals
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