List of top Mathematics Questions asked in UP JEE Polytechnic

Number of parallel tangents of a circle is
The value of \(\cos 15^\circ - \sin 15^\circ\) is equal to
If \(\cos \theta = \frac{1}{2}\), then the value of \(\tan 20^\circ\) is
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
\(\sin(-\theta)\) is equal to
If \(\sqrt{2n} = 16\), then the value of \(n\) is
If \(7x : 63 = 1 : 9\), then \(x\) 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
Find the average of first fifty natural numbers
If \(\alpha, \beta\) are the roots of the equation \(2x^2 - 3x + 1 = 0\), then the value of \(\alpha^3 + \beta^3\) is
Sum of two numbers is 21 and their difference is 11, then the greatest number is
The value of \(\csc^2 67^\circ - \tan^2 23^\circ\) is equal to
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
If \(\log_m m + \log_{\frac{1}{6}} \frac{1}{3} = 2\), then \(m\) is equal to
The number of 6 cm cubes can be cut from a cuboid measuring 36 m \(\times\) 15 m \(\times\) 8 m is
In the adjoining figure, \(DE \parallel BC\), then value of \(x\) are
adjoiningfigure,DE∥BC, thenvalueofxare
The sum of roots of the equation \(x^2 - 3x - 28 = 0\) is
\(\cos 75^\circ + \sin 75^\circ\) is equal to
The length of a rectangle is 8 cm more than its breadth. If the perimeter of the rectangle is 68 cm, then its length and breadth is
The arithmetic mean of given data will be 67, 65, 71, 57, 45
A 100 m long train is moving at a speed of 60 km/h. Then the train will cross a signal pole in