List of top Mathematics Questions

The discriminant of the quadratic equation \(3x^2 - 2x + \frac{1}{3} = 0\) is:
The sum of the roots of the quadratic equation \(3x^2 - 5x + 2 = 0\) is:
There are exactly _________________________ tangents to a circle through a point outside the circle.
Sum of the areas of two squares is 625 m\(^2\). If the difference of their perimeters is 20 m, find the sides of the two squares.
If \(AP\) and \(AQ\) are the two tangents to a circle with center \(O\), such that \(\angle POQ = 110^\circ\), then \(\angle PAQ =\):
AP and AQ are the two tangents to a circle
Which of the following equation represents the situation where Kiran bought 5 oranges, 7 apples, and Harish bought 2 oranges, 12 apples for the same amount of total money?
If \(\alpha, \beta\) are the zeros of the polynomial \(P(x) = 3x^2 - x - 4\), then \(\alpha \times \beta =\)
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 value of \(\sin^2 15^\circ + \cos^2 15^\circ\) is:
The pair of equations \(x + y = 5\) and \(2x + 2y = k\) has infinitely many solutions if \(k =\)
The expression \((6 + 5\sqrt{3}) - (4 - 3\sqrt{3})\) 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:
Which of the following rational number has terminating decimal?
In \(\triangle ABC\), if \(DE \parallel BC\), \(AD = x\), \(DB = x - 2\), \(AE = x + 2\), and \(EC = x - 1\), then the value of \(x\) is:
△ABC, if DE ∥ BC, AD = x, DB = x−2,
The common ratio of G.P.: \(25, -5, 1, -\frac{1}{5}, \dots\) is:
In a G.P. the 3rd term is 24 and 6th is 192, then the 10th term is:
Exponential form of \(\log_b a = c\) is:
The value of \(\cos 54^\circ \cos 36^\circ - \sin 54^\circ \sin 36^\circ\) is:
If the ratio of corresponding sides of two similar triangles is 2:3, then the ratio of areas of these triangles is:
Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is 13?
In \(\triangle ABC\), if \(DE \parallel BC\), \(AE/CE = 3/5\) and \(AB = 5.6\) cm, then \(AD =\):
In △ABC, if DE ∥ BC
If \(A\), \(B\), and \(C\) are interior angles of triangle \(ABC\), then the value of \(\cos \left( \frac{A + B}{2} \right)\) is:
H.C.F. of 2023, 2024, 2025 is:
The distance between the points \((x_1, y_1)\) and \((x_2, y_2)\) is: