List of top Mathematics Questions asked in CBSE CLASS XII

Find the mean deviation about the median for the data 36, 72, 46, 42, 60, 45, 53, 46, 51, 49.

Find the following integral: \(\int (2x^2+e^x)dx\)

A trust fund has Rs \(30,000\) that must be invested in two different types of bonds. 
The first bond pays \(5\)% interest per year, and the second bond pays \(7\)% interest per year. 
Using matrix multiplication, determine how to divide Rs \(30,000 \) among the two types of bonds. 
If the trust fund must obtain an annual total interest of: 
  \(A.\) Rs \(1,800 \)
  \(B.\) Rs \(2,000\)

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse \(16x^2 + y^2 = 16\).

Find the integrals of the function: \(sin^4 x\)

Find the integrals of the function: \(\frac{cos x}{1+cos x}\)

Find the integrals of the function: \(\frac{1-cosx}{1+cosx}\)

Find the integrals of the function: \(sin\, 4x\,\, sin\, 8x\)

Find the integrals of the function: \(sin\, x\,\, sin\, 2x\,\, sin\, 3x\)

Find the integrals of the function: \(sin^3 x\, cos^3 x\)

Find the integrals of the function: \(sin^2 (2x + 5)\)

Integrate the function: \(\frac{x^3 \sin(\tan^{-1}x^4)}{1+x^8}\)

Integrate the function: \(\frac{(x+1)(x+log x)^2}{x}\)

Integrate the function: \(\frac{(1+\log x)^2}{x}\)

Integrate the function: \(\frac{\sqrt {\tan x}}{\sin x \cos x}\)

Integrate the function: \(\frac {1}{1-tan \ x}\)

Integrate the function: \(\frac {1}{1+cot \ x}\)

Integrate the function: \(\frac {sin \ x}{(1+cos\  x)^2}\)

Integrate the function: \(\frac {sin\  x}{1+ cos \ x}\)

Integrate the function: \(\frac {cos \ x}{\sqrt {1+ sin \ x}}\)

Integrate the function: \(\sqrt {\sin2x}\cos 2x\)

Integrate the function: \(\frac{\cos \sqrt x}{\sqrt x}\)