List of top Mathematics Questions

Which of the following sequence is not an A.P. ?

The area of a semicircle of diameter 'd' is :

In the given figure \(\triangle\)ABC is shown, in which DE \(\parallel\) BC. If AD = 5 cm, DB = 2.5 cm and DE = 8 cm, then the length of BC is :

In the given figure, XY || QR, \(\frac{PQ}{XQ} = \frac{7}{3}\) and PR = 6.3 cm. Find the length of YR.

If tan A = \(\frac{4}{3}\), find sin A and cos A.

Express cos A and tan A in terms of sin A.

The three vertices of a rhombus PQRS are P(2, \(-\)3), Q(6, 5) and R(\(-\)2, 1). Find the coordinates of the fourth vertex S and coordinates of the point where both the diagonals PR and QS intersect.

Two different dice are thrown together. Find the probability that the numbers obtained have : (i) even sum, (ii) even product.

The length of hypotenuse (in cm) of a right-angled triangle is 6 cm more than twice the length of its shortest side. If the length of its third side is 6 cm less than thrice the length of its shortest side, find the dimensions of the triangle.

\(\frac{1 + \tan^2 A}{1 + \cot^2 A}\) equals to:

\(PQ\) is tangent to a circle with centre \(O\). If \(\angle POR = 65^{\circ}\), then \(m\angle OPR\) is

A circle centred at \((-1, 2)\) passes through the point \((0, 3)\). Radius of the circle is

It is given that \(\triangle ABC \sim \triangle EDF\). Which of the following is not true?

If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of \(k\) is

Observe the graph of polynomial \(p(x)\). Number of zeroes of \(p(x)\) is

Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is

Area of sector of a circle with radius \(18 \text{ cm}\) is \(198 \text{ cm}^2\). The measure of central angle is

The value of \(k\) for which the system of linear equations \(\frac{x}{2} + \frac{y}{3} = 5\) and \(2x + ky = 7\) is inconsistent, is

In an A.P., \(a = -3\) and \(S_{17} = 357\). The value of \(a_{17}\) is

In the given figure, \(DE \parallel AC\) and \(DF \parallel AE\). Prove that : \(\frac{BF}{FE} = \frac{BE}{EC}\).

\(\alpha, \beta\) are zeroes of the polynomial \(p(x) = 3x^2 - 6x - 5\). Find the value of \(\frac{1}{\alpha^2} + \frac{1}{\beta^2}\).

Prove that : \(\sqrt{\frac{1 + \sin A}{1 - \sin A}} = \sec A + \tan A\).

Prove that : \(\frac{1}{\sec x - \tan x} - \frac{1}{\cos x} = \frac{1}{\cos x} - \frac{1}{\sec x + \tan x}\)

The perimeter of sector OAB of a circle with centre O and radius \(5.6 \text{ cm}\), is \(15.6 \text{ cm}\). Find length of the arc AB. Also find the value of \(\theta\).

The median of the following data is 32.5, find the missing frequencies \(x\) and \(y\) :