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Class XII Maths Limits and Differentiation 3

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Question 1

The value of , where and are the roots of is

Question 2

If f(x) is a differentiable function and the curve y = f(x) passes through (1, 1) such that 2f (x + y) + f(x – y) = 3f(x) + 2xy, then Description: D:\GradeStack Courses\JEE Mains (Sent by Ravi)\JEE Mains Full Test\AIEEE-Full-Test-2-New_files\image315.pngis equal to

Question 3

The ratio of the altitude of the cone of greatest volume which can be inscribed in a given sphere, to the diameter of the sphere is

Question 4

is

Question 5

If = k, the value of k is

Question 6

dx equals -

Question 7

The left and right-hand derivatives of |lnx| at x = 1 are

Question 8

If
where {x} denotes the fractional part function, then

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Feb 27JEE & BITSAT