For the following questions answer them individually
If x ($$\sin$$ 60) $$\tan^{2}$$ 30° - $$\tan$$ 45° = cosec 60° $$\cot$$ 30° - $$\sec^{2}$$ 45°, then x =
If $$x^{3}+\frac{3}{x}=4(a^{3}+b^{3})$$ and $$3x+\frac{1}{x^3}=4(a^{3}-b^{3})$$, then $$a^{2}-b^{2}$$ is equal to
If AD is the median of the triangle ABC and G be the centroid, then the ratio of AG : AD is
In $$\triangle$$PQR, $$\angle$$RPQ = 90° PR=6CM and PQ=8CM then the radius of the circumcircle of $$\triangle$$PQR is
In a triangle ABC, median is AD and centroid is O. AO = 10 cm. The length of OD (in cm) is
ΔBCD is parallelogram. P and Q are the mid-points of sides BC and CD respectively. If the area of .6, ABC is 12 cm , then the area of ΔAPQ is
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