For the following questions answer them individually
If two medians BE and CF of a triangle ABC, intersect each other at G and if BG = CG, ∠BGC = 60° and BC = 8 cm then area of the triangle ABC is
Given that $$x^{3} + y^{3} = 72$$ and $$xy = 8$$ with $$x > y$$. Then the value of $$(x - y)$$ is
If the sum of two numbers, one of which is $$\frac{2}{5}$$ times the other, is 50, then the numbers are
A boat can travel with a speed of 13 km/hr in still water. If the speed of stream is 4 km/hr in the same direction, time taken by boat to go 63 km in opposite direction is
The measures of two angles of a triangle are in the ratio 4 : 5. If the sum of these two measures is equal to the measure of the third angle, find the smallest angle.
A person of height 6ft. wants to pluck a fruit which is on a 26/3 ft. high tree. If the person is standing 8/√3 ft. away from the base of the tree, then at what angle should he throw a stone so that it hits the fruit ?
The angle of elevation of a tower from a distance of 100 metre from its foot is 30°. Then the height of the tower is
A can do a work in 10 days and B in 20 days. If they together work on it for 5 days, then the fraction of the work that is left is
Two circles touch each other externally. The sum of their areas is 130 $$\pi$$ sq cm and the distance between their centres is 14 cm. The radius of the smaller circle is
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