For the following questions answer them individually
What is the value of $$\ (\frac{x^{2}-x-6}{x^{2}+x-12})\div(\frac{x^{2}+5x+6}{x^{2}+7x+12})?$$
If$$\ x^{2}+\frac{1}{x^{2}}=\frac{7}{4}\ $$for x > 0, then what is the value of $$\ x^{3}+\frac{1}{x^{3}}\ $$
What is the simplified value of $$\ (x^{32}+\frac{1}{x^{32}})(x^{8}+\frac{1}{x^{8}})(x-\frac{1}{x})(x^{16}+\frac{1}{x^{16}})(x+\frac{1}{x})(x^{4}+\frac{1}{x^{4}})$$?
If P is the circum-center in ΔABC, ∠BPC = 130°, then what is the value (in degrees) of ∠BAC?
In ΔPQR, ∠PQR = 90°, PQ = 5 cm and QR = 12. What is the radius (in cm) of the circum-circle of ΔPQR?
In the given figure, O is the centre of the circle, $$\angle$$PQO=30 $$^\circ$$and$$\ \angle$$\ QRO = $$\ 45^\circ\$$. What is the value (in degrees) of $$\angle$$POR?
In the given figure, O is the centre of the circle, OQ is perpendicular to RS and $$\angle$$SRT = $$30^\circ\ $$. If RS=10$$\surd2$$, then what is the value of PR$$^{2}$$?
If ΔABC is right angled at B, AB = 30 and ∠ACB = 60°, then what is the value of AC?
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