If $sin^{8}\theta + cos^{8}\theta - 1$ = 0, then what is the value of $cos^{2}\theta sin^{2}\theta$ (If $\theta \neq 0$ or $\frac{pi}{2}$)?
1). -1
2). 0
3). 1
4). 2
What is the simplified value of $\left[\frac{(sec^{3}x - tan^{3}x)}{(sec x - tan x)}\right] - 2 tan^{2}x - sec x tan x $?
1). 0
2). 2
3). -1
4). 1
What is the simplified value of $tan\left(\frac{\theta}{2}\right) + cot\left(\frac{\theta}{2}\right) $?
1). $2 cosec\theta $
2). $2 sec\theta $
3). $sin\theta$
4). $cosec\theta$
Two smaller circles touch a large circle internally and pass through the center O of the larger circle. If the diameter of the bigger circle is 28 cm, then what is the area of the bigger circle which is not enclosed by the two smaller circles (in cm2)?
1). 154
2). 256
3). 308
4). 616
If medians of a triangle have lengths 18 cm, 24 cm and 30 cm, then what is the area (in cm2) of the triangle?
1). $24\sqrt{6}$
2). 244
3). 288
4). 360