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Class XII Maths Application of Derivatives Quiz 5
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Question 1
The difference between the greatest and the least value of 
sin x, x ∈ [0, π] is
sin x, x ∈ [0, π] is Question 2
Given that the Function F(x)= ±ax2-8x+7 increases in the region (
,∞). Find the value of a for which it is possible.
,∞). Find the value of a for which it is possible. Question 3
A pole is of height h has a lamp at its top. A man is moving away from the pole at v ft/s. The rate of change of his shadow when he is a distance ‘d’ from the base of the pole: (The height of the man is 6ft)
Question 4
For 0 < a ≤ 1 and b ∈ R, then in (–a, a) the function, f(x) = ax3 – 3ax + b
Question 5
Find whether 
holds Mean Value Theorem in the interval 
holds Mean Value Theorem in the interval Question 6
Let f (x) be a polynomial function of second degree. If f (1) = f (−1) and a, b, c are in A. P., then f′ (a), f′ (b) and f′ (c) are in
Question 7
If y + 3 = m1(x + 2) and y + 3 = m2(x + 2) are the two tangents of a parabola 
. Then find the value of m1 + m2
. Then find the value of m1 + m2 Question 8
Find the equation of the tangent to a circle centre being at origin and has a diameter of 10 at the point (3,4)
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Apr 20JEE & BITSAT
