List of top Mathematics Questions

Find the mean from the following frequency distribution :
Prove that \( 2\sqrt{3} \) is an irrational number.
Which of the following cannot be the probability of any event ?
The mean from the following table will be
If mean of a frequency distribution is 20.5 and median is 21 then mode will be
If \( \cot A = \frac{b}{a} \), then prove that \( \frac{b \sec A}{a \operatorname{cosec} A} = 1 \).
A die is thrown once. The probability of getting a prime number will be
Area of the square which can be drawn in the circle of radius 4 cm will be
If AD \(\perp\) BC in an equilateral triangle ABC, then AD\(^2\) will be
If sec \(\theta\) = 2, then the value of \(\theta\) will be
The coordinates of the mid-point of the line segment made by joining the points (-2, 6) and (-2, 10) are
Area of the base of a right circular cylinder is 9\( \pi \) cm\(^2\). Radius of its base will be
The vertices of triangle ABC are (7, 5), (5, 7) and (-3, 3) respectively. If the mid-point of BC is D, then the measure of AD will be
The value of \( (\text{cosec}^2\theta - \cot^2\theta)(1 - \cos^2\theta) \) is
Simplest form of \( \frac{148}{185} \) is
The distance of the point m(-3, 4) from the origin is
If the lines represented by 3x + 2py = 2 and 2x + 5y + 1 = 0 are parallel, then the value of p will be
If ABC and XYZ are two similar triangles and \(\angle A = 75^\circ\) and \(\angle Y = 57^\circ\), then the value of \(\angle C\) will be
For which value of p, the equations 3x - y + 8 = 0 and 6x - py = 16 represents coincident lines?
If 15 cot \(\theta\) = 8, then the value of sin \(\theta\) will be
L.C.M. of 15, 18 and 24 is
If HCF of 65 and 117 is expressed as 65p - 117, then the value of p will be
The value of \( \frac{2 \tan 45^\circ}{1 + \tan^2 45^\circ} \) will be
Let \( |\mathbf{a}| = 2, |\mathbf{b}| = 3 \) and the angle between \( \mathbf{a} \) and \( \mathbf{b} \) be \( \frac{\pi}{3} \). If a parallelogram is constructed with adjacent sides \( 2\mathbf{a} + 3\mathbf{b} \) and \( \mathbf{a} - \mathbf{b} \), then its shorter diagonal is of length:
The number of positive divisors of 1080 is: