List of top Mathematics Questions

If $t = e^{2x}$ and $y = \ln(t^2)$, then $\frac{d^2 y}{dx^2}$ is:
Let \( \vec{a} \) and \( \vec{b} \) be two vectors such that \( |\vec{a}| = 1 \), \( |\vec{b}| = 4 \) and \( \vec{a} \cdot \vec{b} = 2 \).If \( \vec{c} = (2 \vec{a} \times \vec{b}) - 3 \vec{b} \) and the angle between \( \vec{b} \) and \( \vec{c} \) is \( \alpha \), then \( 192 \sin^2 \alpha \) is equal to _____
The area enclosed by the curves xy + 4y = 16 and x + y = 6 is equal to :
\(\sin(-\theta)\) is equal to
If \(\cos \theta = \frac{1}{2}\), then the value of \(\tan 20^\circ\) is
Number of parallel tangents of a circle is
The value of \(\cos 15^\circ - \sin 15^\circ\) is equal to
If points \((1, 2), (x, -1), (4, 5)\) are collinear, then the value of \(x\) is
The value of \(\frac{a}{(a-b)(a-c)} + \frac{b}{(b-c)(b-a)} + \frac{c}{(c-a)(c-b)}\) is
If \(\sqrt{2n} = 16\), then the value of \(n\) is
Find the average of first fifty natural numbers
If \(7x : 63 = 1 : 9\), then \(x\) is
Sum of two numbers is 21 and their difference is 11, then the greatest number is
If \(\alpha, \beta\) are the roots of the equation \(2x^2 - 3x + 1 = 0\), then the value of \(\alpha^3 + \beta^3\) is
If the line \(PQ\) is parallel to line \(BC\) of \(\triangle ABC\), then
line PQ is parallel to line BC of △ABC
Three solid spheres, whose radii are 3 cm, 4 cm and 5 cm melted into a single sphere, its radius is
If \(9 : 15 : : 45 : x\), then the value of \(x\) is
If \(\sin \theta = \frac{1}{\sqrt{2}}\), then the value of \(3 \sin^2 \theta - 4 \sin^3 \theta \cdot \cos \theta\) is
If \(x^y = y^x\) then \(\left(\frac{x}{y}\right)^{x/y}\) is
The number of 6 cm cubes can be cut from a cuboid measuring 36 m \(\times\) 15 m \(\times\) 8 m is
The value of \(\csc^2 67^\circ - \tan^2 23^\circ\) is equal to
If \(\log_m m + \log_{\frac{1}{6}} \frac{1}{3} = 2\), then \(m\) is equal to
In the adjoining figure, \(DE \parallel BC\), then value of \(x\) are
adjoiningfigure,DE∥BC, thenvalueofxare
In the given figure of circle with centre O, chord AB makes an angle of \(80^\circ\) with the centre. Then \(\angle APB\) is
circlewithcentreO,chordAB
\(\cos 75^\circ + \sin 75^\circ\) is equal to