For the following questions answer them individually
In a circle with center at O (0,0) and radius 5cm, AB is a chord of length 8 cm. If OM is perpendicular to AB, then the length of OM is:
The numerical value of
$$\frac{9}{cosec^{2}\theta}\ + 4\ cos^{2}\theta +\ \frac{5}{1+tan^{2}\theta}$$
If x=a(b-c), y=b(c-a), z=c(a-b), then the value of $$(\frac{x}{a})^3\ +\ (\frac{y}{b})^3\ +\ (\frac{z}{c})^3\ $$is:
If cos$$\theta$$ =$$\frac{P}{\sqrt{p^{2}+q^{2}}}\ $$, then the value of tan$$\theta\ $$ is:
If ABCD be a rhombus, AC is its smallest diagonal and $$\angle\ $$ABC = $$60^\circ$$, find length of a side of the rhombus when AC = 6 cm.
Two trains start at the same time A and B and proceed toward each other at the speed of 75 km/hr and 50 km/hr respectively. When both meet at a point in between one train found to be travelled 175 km more than the other. Find the distance between A and B.
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