Example 17 - Find points on x2/4 + y2/25 = 1 at which tangents - Finding point when tangent is parallel/ perpendicular

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  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise
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Example 17 Find points on the curve 2 4 + 2 25 = 1 at which the tangents are (i) parallel to x-axis (ii) parallel to y-axis. The curve is 2 4 + 2 25 = 1 Slope of x axis = 0 Slope of y axis = 1 0 Slope of the tangent is Finding 2 4 + 2 25 = 0 2 + 2 25 = 0 = 2 25 2 = 25 4 Hence = 25 4 (1) If the tangent is parallel to x axis, its slope is 0 Hence = 0 25 4 = 0 x = 0 Putting this in equation of the curve 0 4 + 2 25 = 1 2 = 25 y = 5 Hence, the points are (0, 5) and (0, 5) (2) If the tangent is parallel to y axis, its slope is 1/0 Hence = 1 0 25 4 = 1 0 y = 0 Putting this in equation of the curve 2 4 + 0 25 = 1 x = 4 x = 2 Hence, the points are (2, 0) and ( 2, 0)

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