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Find points on the curve (x^(2))/(4)+(y^...

Find points on the curve `(x^(2))/(4)+(y^(2))/(25)=1` at which the tangents are
(i) Parallel to X - axis
(ii) Parallel to Y - axis.

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The correct Answer is:
(i) Tangents at points (0, 5) and (0, -5) are parallel to X - axis and
(ii) Tangents at points (2, 0) and (-2, 0) are parallel to Y-axis.
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