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Find Points on the Curve `X^2/9 + Y^2/6 = 1` at Which the Tangents Are - Mathematics

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).

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APPEARS IN

NCERT Class 12 Maths
Chapter 6 Application of Derivatives
Q 13 | Page 212
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