List of top Mathematics Questions

The tangents drawn at the extremities of the diameter of a circle are
\[{log_{p^3}}^p×{log_{q^3}}^q×{log_{r^3}}^r=\]
If \(f(x)=ax^2+bx+c\) and \(f(0)=3\), \(f(1)=1\), \(3f(2)=5\) then \(a:b:c=\)
A tower stands vertically on the ground and on the same ground there is a house of height 10 m and the distance between the house and the tower is 15 m. If the angle of elevation of the top of the tower is found to be 45° from the roof of the house, then what is the height of the tower ?
If x4+y4=18x2y2, then which of the following is/are correct?
Consider two triangles △ABC and △DEF, where \(\frac{AB}{DF}=\frac{BC}{FE}=\frac{CA}{ED}\). Then which is correct?
If tan \(A =\frac{2}{3}\)  then cos² A-sin² A = ?
The value of \(\frac{x+\sqrt{x²-1}}{x-\sqrt{x²+1}} +\frac{x+\sqrt{x²+1}}{x-\sqrt{x²-1}}\) is
The area of a sector of angle 30° of a circle of diameter 14 cm is
A newspaper contains various types of news items which is the following of the data types?
Look at the series : 1224, 612, 204, 102, 34,…. which one of the following numbers should come next in the series?
If a certain sum invested on compound interest become 3 times in 4 years, then the no. of years in which this sum will become 27 times at the rate interest is
Let is the mean of the variate values X1, X2,..., XN. If a constant value A is subtracted from each variate value, then the resulting new mean is
The distance of a point whose position vector is \(\overrightarrow{u}\) from the plane\(\overrightarrow{r}.\overrightarrow{n}=d\) is, 
The rate of activity of a person y with age t is given by (1+t) \(\frac{dy}{dx}=e^{-y}-1\). For the initial condition y = 1 at r = 0, the dy dt solution is given by,
The derivative \(\frac{dy}{dx} \) of the function y=xx is
If the sets X and Y are mutually exclusive, then P(X∩Y) is
The area bounded by the curve y = sin(x) between x = 0 to 2π is,
A vessel is in the form of a hemispherical bowl surmounted by a hollow cylinder. The diameter of the sphere is 42 cm and the height of the vessel is 27 cm. Find its capacity in cm3. (Use: \(\pi = \frac {22}{7}\))
A committee of two persons is selected from two men and two women. What is the probability that the committee will have at least one man?
Ten cards numbered 1 to 10 are placed in a box and one card is drawn randomly. If it is known that the number on drawn card is more than 2. The probability that it is an odd number is:
The mode of the following distribution: 7, 4, 3, 5, 6, 3, 3, 2, 4, 3, 4, 3, 3, 4, 4, 2, 3.
The integral \(∫_3^lx^3\) log(x) dx equals
The value of \(ƒ \frac{(log(x))^2}{x} dx\) is 
The angle between a pair of lines given by F = 3î +2} − 2k + 1⁄2 (î + 2 j +2k), r = 5î − 2} +1⁄21⁄2 (3î +2ĵ+6k) is