For the following questions answer them individually
If x + y + z = 6 and $$x^{2}+y^{2}+z^{2}$$=20 then the value of $$x^{3}+y^{3}+z^{3}$$-3xyz is
In a triangle ABC, the side BC is extended up to D. Such that CD = AC, if angleBAD = $$109°$$ and angleACB=$$72°$$ then the value of angleABC is
Two circles touch each other internally. Their radii are 2 cm and 3 cm. The biggest chord of the greater circle which is outside the inner circle is if length
ABCD is a cyclic quadrilateral. AB and DC are produced to meet at P. If angleADC = $$70°$$ and angleDAB = $$60°$$, then the $$\angle{PBC} + \angle{PCB}$$ is
From a point which is at a distance of 13 cm from centre O of a circle of radius 5 cm, in the same plane, a pair of tangents PQ and PR are drawn to the circle. Area of quadrilateral PQOR is
A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope stretched and describes 88 metres when it has traced out 72C at the centre, the length of the rope is $$(Take\pi=\frac{22}{7})$$
The value of 152(sin 30°+2cos^{2} 45°+3 sin 30°+4cos^{2}45°+.....+17sin30°+18cos^{2}45°) is
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