For the following questions answer them individually
If $$(1/x) + (1/y) + (1/z) = 0$$ and $$x + y + z = 11$$, then what is the value of $$x^{3}+y^{3}+z^{3}-3xyz$$ ?
What is the simplified value of $$\ [\frac{(1+x^{3})}{(x^{2}-1)}\div\frac{(x^{2}+1-x)}{(x+1)}] \times (x-1)$$?
If $$\frac{x+\sqrt{x^{2}-1}}{x-\sqrt{x^{2}-1}}+\frac{x-\sqrt{x^{2}-1}}{x+\sqrt{x^{2}-1}}$$= 62, then what is the value of $$x$$ ($$x < 0$$) ?
If $$\ x^{4}+\frac{1}{x^{4}}\ $$= 98 and $$x > 1$$, then what is the value of $$x-\frac{1}{x}\ ?$$
In ΔABC, ∠BCA = 90°, AC = 24 cm and BC = 10 cm. What is the radius (in cm) of the circum-circle of ΔABC?
A chord of length 7 cm subtends an angle of 60° at the centre of a circle. What is the radius (in cm) of the circle?
If ΔPQR is right angled at Q, PQ = 12 and ∠PRQ = 30°, then what is the value of QR?
In the given figure, area of isosceles triangle ABE is 72 $$cm^{2}$$ and BE = AB and AB = 2 AD, AE\\DC, then what is the area (in $$cm^{2}$$) of the trapezium ABCD ?
In the given figure, AC and DE are perpendicular to tangent CB. AB passes through centre O of the circle whose radius is 20 cm. If AC = 36 cm, what is the length (in cm) of DE ?
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