List of top Mathematics Questions

If \( P \) and \( Q \) are two \( 3 \times 3 \) matrices such that \( |PQ| = 1 \) and \( |P| = 9 \), then the determinant of adjoint of the matrix \( P . Adj \ 3Q \) is:
The value of \( 5 \cos \theta + 3 \cos \left( \theta + \frac{\pi}{3} \right) + 3 \) lies between:
Find the locus of points satisfying the equation \( axy + byz = cy \).
The domain of the real valued function \( f(x) = \sqrt{2 + x} + \sqrt{3 - x} \) is:
Find the arithmetic mean of the following numbers: 46, 65, 86, 41, 56, 77, 35, 91, 54, 94, 30
Find the harmonic mean of the following numbers: 5, 10, 15
Find the mode of the following numbers: 57, 17, 26, 90, 0, 83, 80, 26, 57, 115, 26
If \( 10^x = 1 \), then the value of \( x \) will be:
The next term in the sequence \(2, 6, 18, 54, \ldots \) will be:
If the numbers 10, 8, 5, 7, \( x \), and 4 have an arithmetic mean of 8, then the value of \( x \) will be:
The geometric mean of 2, 4, and 8 is:
The mean of the numbers 7, 8, 10, 16, 13, and 11 is:
If \( \sin \theta_1 + \sin \theta_2 + \sin \theta_3 = 3 \), then what is the value of \( \cos \theta_1 + \cos \theta_2 + \cos \theta_3 \)?
The mode of the following data: 2, 2, 4, 6, 8, 4, 14, 4, 6, 16, 4 is:
If \( \tan A = \frac{1}{2} \) and \( \tan B = \frac{1}{3} \), then the value of \( A + B \) will be:
The value of \( \sin 22^{\frac{1}{2}} \) is:
If the area of the cross-section of a cylinder is doubled, what will be the ratio of its height and radius of the base?
If \( A = 240^\circ \), then the value of \( \tan^2 A + \sec A \) is:
The vertices of a triangle are \( (7, 5) \), \( (5, 7) \), and \( (-3, 3) \). Then the centroid of the triangle will be:
If \( 2^{x+6} = 8^{x+1} \), then the value of \( x \) is:
The geometric mean of numbers 10, 16, and 50 will be:
The solution of the equation \( 2^{x+2} + 2^{x+1} = 48 \) will be:
The total surface area of a cuboid is 1332 square cm, and its sides are in the ratio 4:5:6. What will be the length of the sides?
Define the functions \( f, g \) and \( h \) from \( \mathbb{R} \) to \( \mathbb{R} \) such that: \[ f(x) = x^2 - 1, \quad g(x) = \sqrt{x^2 + 1} \]
functions f,g and h from R to R
Consider the following statements:

A line \( L \) passing through the point \( (2,0) \) makes an angle \( 60^\circ \) with the line \( 2x - y + 3 = 0 \). If \( L \) makes an acute angle with the positive X-axis in the anticlockwise direction, then the Y-intercept of the line \( L \) is?