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Divide Rs 21,000 into two parts such that the annual compound amount of the first part for 3 years is equal to the compound amount of the second part for 2 years at a 10 % rate in both.
\(\frac{x+2}{x^2+2x+4}+\frac{x-2}{x^2-2x+4}+\frac{16}{x^4-4x^2+16}\) -Ans: \(\frac{2\left(x+2\right)}{x^2+2x+4}\)
Construct an isosceles triangle ABC having base BC=6 cm and the altitude AD=4 cm. Also, construct a parallelogram CDEF equal in area to △ABC and having one angle CDE=45°.
If the length of the side of the base(BC) is 16 cm and the length of the lateral edge(PD) is 2√41 cm, find the volume of the pyramid.
The volume of a cylinder with a diameter of its base 14 cm is 2156 cm^{3}. Find the height of the cylinder.
The total surface area of cone whose base is 5 m is \(282\frac67\) m^{2}. Find the slant height of the cone.
In the given figure, AB= 10 cm, AA' =20 cm, AC= 8 cm and the area of rectangular surfaces of the prism is 480 square cm, find the length of BC.
The present price of a motorcycle is Rs 225000. If its price is depreciated per year by 8%, after how many years the price of the motorcycle will be Rs 175204.8? Find it.
In the given figure, AD//BC. If the areas of the triangle ABE and Triangle ACF are equal, then prove that EF//AC.
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