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Class XII Maths Applications of Integrals 3
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Question 1
The area (in sq. units) of the region described by {(x, y); y2 ≤ 2x and y ≥ 4x – 1} is
Question 2
The area of the region described by A = {(x, y) : x2 + y2 ≤ 1 and y2 ≤ 1 – x} is
Question 3
The area of the region enclosed by the curves y = x, x = e, y = 1/x and the positive x-axis is
Question 4
Derivative of w.r.t. is
Question 5
Let z be a complex number such that Re(z) = , and Im (z) = satisfying |z| = . Area enclosed by the set of points (√6, 4) on the complex plane, is-
Question 6
The area of the region bounded by the curves y = |x – 2|, x = 1, x = 3 and the x-axis is
Question 7
The solution of the differential equation (1 + y2) + (x − ) = 0, is
Question 8
If x = y (log y - log x + 1), then the solution of the equation is
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Sep 18JEE & BITSAT