Example 17 - Chapter 6 Class 12 Application of Derivatives
Last updated at May 29, 2018 by Teachoo
Transcript
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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Chapter 6 Class 12 Application of Derivatives
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About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.