List of top Mathematics Questions asked in UP JEE Polytechnic

If \(x^y = y^x\) then \(\left(\frac{x}{y}\right)^{x/y}\) is
The arithmetic mean of given data will be 67, 65, 71, 57, 45
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
The sum of roots of the equation \(x^2 - 3x - 28 = 0\) is
\(\cos 75^\circ + \sin 75^\circ\) is equal to
The median of first ten prime numbers is
A 100 m long train is moving at a speed of 60 km/h. Then the train will cross a signal pole in
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
If one root of equation \(2x^2 - 10x + P = 0\) is 3, then the value of P is
Two supplementary angles measure \(5x + 15^\circ\) and \(4x - 6^\circ\), angle are
The value of \(\tan \left(\frac{\pi}{4} + \theta \right) \cdot \tan \left(\frac{3\pi}{4} + \theta \right)\) is
If \(x + y = 7\) and \(3x - 2y = 11\), then
If \(a + b + c = 11\) and \(ab + bc + ca = 20\), then the value of \(a^3 + b^3 + c^3 - 3abc\) is
What must be added in \(\frac{9}{x^2} + 4y^2\) to make it a whole square?
If \(a : b = 3 : 4\) and \(b : c = 8 : 9\), then \(a : c\) is
If \(\overline{x}\) is the mean of \(n\) observations \(x_1, x_2, x_3, \ldots, x_n\), then \(\sum_{i=1}^{n}(x_i - \overline{x})\) is equal to
Distance between two points \((a \cos \alpha, a \sin \alpha)\) and \((a \cos \beta, a \sin \beta)\) is equal to
If \(\cos A = \frac{1}{7}\) and \(\cos B = \frac{13}{14}\), then \(\cos (A - B)\) is
By selling a car for ₹72,000, a person made a profit of 20%. Then the cost price of the car is
The median of the following distribution is:
x456789
f645869
Total10     
Find the value of \(\frac{\sqrt{3} \cos 23^\circ - \sin 23^\circ}{2}\)
If tan \(A = \frac{1}{\sqrt{3}}\) and tan \(B = \sqrt{3}\) then \(\cos A - \cos B - \sin A \cdot \sin B\) will be equal to
Distance between two lines \(3x + 4y - 9 = 0\) and \(3x + 4y + 10 = 0\) is
The total amount for a sum of ₹400 for 3 years at simple interest at 5% per annum will be
\(\sqrt{3}\) is