List of top Mathematics Questions

Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertiliser exact number of times.

Find a point on the curve y = (x − 2)² at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4).

The value of $\:sin^{-1}\left(cos\left(\frac{33\pi }{5}\right)\right)$

A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank.

The area of a trapezium is 34 cm2 and the length of one of the parallel sides is 10 cm and its height is 4 cm. Find the length of the other parallel side.

Solve the given inequality for real x: 3x-7 > 5x-1

Given the line(s) of symmetry, find the other hole(s):

The locus of $z$ such that $arg [(1 - 2i) z - 2 + 5i] = \frac {\pi} {4} $ is a

The general solution of the differential equation ${\log }_e\left(\frac{dy}{dx}\right)=x+y$ is

The approximate value of 5√33 correct to 4 decimal places is 

If $y=2x^3-2x^2+3x-5$, then for $x=2$ and $\mathrm{\Delta }x=0.1$ value of $\mathrm{\Delta }y$ is:

$\mathrm{f}\mathrm{A}+\mathrm{B}+\mathrm{C}=,$ then $\tan \left(\frac{\mathrm{A}}{2}\right)\tan \left(\frac{\mathrm{B}}{2}\right)+\tan \left(\frac{\mathrm{B}}{2}\right)\tan \left(\frac{\mathrm{C}}{2}\right)+\tan \left(\frac{\mathrm{C}}{2}\right)\tan \left(\frac{\mathrm{A}}{2}\right)$ is equal to

The derivative of f(tan x) w.r.t. g(sec x) at x = π/4 where f`(1) = 2 and g`(√2) =4, is

A suitcase with measures 80 cm x 48 cm x 24 cm is to be covered with a tarpaulin cloth. How many metres of tarpaulin of width 96 cm is required to cover 100 such suitcases.

If mean =. (3 median - mode) fc, then the value of k is

Find the integrals of the function: \(sin\,3x\,cos\,4x\)

Let f(x) be an indefinite integral of $\cos^3 x$ . f(x) is a periodic function of period $\pi$ . $\cos^3 x$ is a periodic function.

Can there be a time temperature graph as follows? Justify you're answer:

Let G be the centroid of a-triangle ABC. If $\overrightarrow{AB}=\overrightarrow{a},\overrightarrow{AC}=\overrightarrow{b}$ , then the bisector $\overrightarrow{AB}$ in terms of vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ is

Rukhsar painted the outside of the cabinet of measure 1 m x 2 m x 1.5 m. How much surface area did she cover if she painted all except the bottom of the cabinet.

 

Write the following numbers in the expanded forms:
279404, 3006194, 2806196, 120719, 20068

Find the ratio of the following:
(a) 81 to 108
(b) 98 to 63
(c) 33 km to 121 km
(d) 30 minutes to 45 minutes