List of top Mathematics Questions

Area of the square which can be drawn in the circle of radius 4 cm will be
Which of the following cannot be the probability of any event ?
If sec \(\theta\) = 2, then the value of \(\theta\) will be
The value of \( (\text{cosec}^2\theta - \cot^2\theta)(1 - \cos^2\theta) \) is
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 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
If AD \(\perp\) BC in an equilateral triangle ABC, then AD\(^2\) will be
For which value of p, the equations 3x - y + 8 = 0 and 6x - py = 16 represents coincident lines?
Simplest form of \( \frac{148}{185} \) is
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
If the lines represented by 3x + 2py = 2 and 2x + 5y + 1 = 0 are parallel, then the value of p will be
The distance of the point m(-3, 4) from the origin is
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
Which term of the A.P.: \(20, 18, 16, \dots\) is \(-80\)?
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:
(c) If \( 2P(A) = P(B) = \frac{5}{13} \) and \( P(A \mid B) = \frac{2}{5} \), then find \( P(A \cap B) \).
Suppose the axes are to be rotated through an angle \( \theta \) so as to remove the \( xy \) term from the equation \(3 x^2 + 2\sqrt{3}xy + y^2 = 0 \). Then in the new coordinate system, the equation \( x^2 + y^2 + 2xy = 2 \) is transformed to:
Evaluate: \[ \int \frac{1}{x^2 + 25} dx. \]
The area of the region enclosed by the curves \[ 3x^2 - y^2 - 2xy + 4x + 1 = 0 \] and \[ 3x^2 - y^2 - 2xy + 6x + 2y = 0 \] is:
Find the perpendicular unit vectors on the vectors \[ \mathbf{a} = 2\hat{i} - \hat{j} + \hat{k} \quad \text{and} \quad \mathbf{b} = 3\hat{i} + 4\hat{j} - \hat{k} \] and find the sine of the angle between them.