List of top Mathematics Questions asked in CBSE Class X

The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has
Prove that \(\left(1 + \frac{1}{\tan^2 \theta}\right) \left(1 + \frac{1}{\cot^2 \theta}\right) = \frac{1}{\sin^2 \theta - \sin^4 \theta}\).
The volume of air in a hollow cylinder is 450 cm\(^3\). A cone of same height and radius as that of cylinder is kept inside it. The volume of empty space in the cylinder is
The volume of air in a hollow cylinder is 450 cm
The distance of the point A($-3$, $-4$) from x-axis is
In a right-angled triangle ABC at A, if \(\sin B = \frac{1}{4}\), then the value of \(\sec B\) is:

In the given figure, graph of polynomial \(p(x)\) is shown. Number of zeroes of \(p(x)\) is

If the zeroes of the polynomial $ax^2 + bx + \dfrac{2a}{b}$ are reciprocal of each other, then the value of $b$ is
In the given graph, the polynomial \(p(x)\) is shown. Number of zeroes of \(p(x)\) is
polynomial p(x)
If \(x = \cos 30^\circ - \sin 30^\circ\) and \(y = \tan 60^\circ - \cot 60^\circ\), then
In a right triangle ABC, right-angled at A, if $\sin B = \dfrac{1}{4}$, then the value of $\sec B$ is
If the length of the shadow of a tower is \(\sqrt{3}\) times its height, then the angle of elevation of the sun is
A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is
If \(\sqrt{3} \sin \theta = \cos \theta\), then value of \(\theta\) is
If $\dfrac{2\tan30^\circ}{1+\tan^2 30^\circ} = \dfrac{2\tan30^\circ}{\sqrt{1 - \tan^2 30^\circ}}$, then $x : y =$
If \(\sin \theta = \frac{1}{9}\), then \(\tan \theta\) is equal to
In \(\triangle ABC, \angle B = 90^\circ\). If \(\frac{AB}{AC} = \frac{1}{2}\), then \(\cos C\) is equal to
The line \(2x - 3y = 6\) intersects x-axis at
The point \((3, -5)\) lies on the line \(mx - y = 11\). The value of \(m\) is
The distance of point \((a, -b)\) from the \(x\)-axis is

Given $\triangle ABC \sim \triangle PQR$, $\angle A = 30^\circ$ and $\angle Q = 90^\circ$. The value of $(\angle R + \angle B)$ is

Three coins are tossed together. The probability that exactly one coin shows head, is
Two dice are rolled together. The probability of getting a sum more than 9 is
Two coins are tossed simultaneously. The probability of getting at least one head is
Two dice are rolled together. The probability of getting an outcome (a, b) such that b = 2a, is

If probability of happening of an event is 57%, then probability of non-happening of the event is