List of top Mathematics Questions

A Circle S passes through the points of intersection of the circles \( x^2 + y^2 - 2x + 2y - 2 = 0 \) and \( x^2 + y^2 + 2x - 2y + 1 = 0 \). If the centre of this circle S lies on the line \( x - y + 6 = 0 \), then the radius of the circle S is:
The length of the tangent from a point 15 cm away from the centre of a circle of radius 9 cm is:
The value of \(p\), for which the pair of equations \(3x + 4y + 2 = 0\) and \(9x + py + 8 = 0\) represents parallel lines, is:
The value of \(\log_6 2 + \log_6 3\) is:
H.C.F. of 2023, 2024, 2025 is:
tan 9$^\circ$ - tan 27$^\circ$ - tan 63$^\circ$ + tan 81$^\circ$ =
If \(\frac{2}{\sqrt{x}} = 2\) and \(\frac{4}{\sqrt{y}} = -1\), then
How many two-digit numbers are divisible by 3?
In a G.P. the 3rd term is 24 and 6th is 192, then the 10th term is:
Rainfall of a town in a week is 4 cm, 5 cm, 12 cm, 3 cm, 6 cm, 8 cm, and 4 cm, then the average rainfall per day is:
A Kiddy bank contains hundred 50 paise coins, fifty ₹1 coins, twenty ₹2 coins, and ten ₹5 coins. If one of the coins will fall out when the bank is turned upside down, what is the probability that the coin is a ₹5 coin?
From a helicopter, a person observes an object on the ground at an angle of depression of \(30^\circ\). If the helicopter is flying at a height of 500 m from the ground, then the distance between the person and the object is:
A boy observed the top of an electric pole at an angle of elevation of \(60^\circ\) when the observation point is 6 meters away from the foot of the pole, then the height of the pole is:
A chord of a circle of radius 4 cm is making an angle 60° at the centre, then the length of the chord is:
The volume of a right circular cone with radius 6 cm and height 7 cm is:
(use \(\pi = \frac{22}{7}\))
If two cubes each of volume 64 cm\(^3\) are joined end to end together, then the surface area of the resulting cuboid is:
The roots of the quadratic equation \(x^2 - 4x + 4 = 0\) are:
The area of a sector, whose radius is 7 cm with the angle 72° is:
If \(\csc \theta + \cot \theta = k\), then the value of \(\csc \theta\) is:
If two concentric circles of radii 5 cm and 3 cm are drawn, then the length of the chord of the larger circle which touches the smaller circle is:
Area of the triangle formed by the points \((-5, -1)\), \((3, -5)\) and \((5, 2)\) is:
If the areas of two similar triangles are 81 cm\(^2\) and 49 cm\(^2\) respectively. If the altitude of the smaller triangle is 3.5 cm, then the corresponding altitude of the bigger triangle is:
The centroid of the triangle with vertices \((1, -1)\), \((0, 6)\), and \((-3, 0)\) is:
If -1, -2 are two zeros of a polynomial \(2x^3 + ax^2 + bx - 2\), then the values of \(a\) and \(b\) are
The product of prime factors of 2024 is: