Application of Derivatives 4 Question 36
38. A line meets -axis at and the arc of the parabola at the point . The tangent to the parabola at intersects the -axis at . The slope of the line is chosen such that the area of the has a local maximum
Match List I with List II and select the correct answer using the codes given below the list.
Column I | Column II | ||
---|---|---|---|
P. | 1. | ||
Q. | Maximum area | 2. | 4 |
of |
Codes
(a) | 4 | 1 | 2 | 3 |
(b) | 3 | 4 | 1 | 2 |
(c) | 1 | 3 | 2 | 4 |
(d) | 1 | 3 | 4 | 2 |
Passage Based Problems
Consider the function
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Answer:
Correct Answer: 38. (a)
Solution:
- Here,
Tangent at
At
Also,