If$\left(\frac{1}{cos \theta}\right) - \left(\frac{1}{cot \theta}\right)$ = $\frac{1}{P}$, then what is the value of $cos \theta$?
1). $\frac{(P + 1)}{(P ? 1)}$
2). $\frac{(P^{2} + 1)}{2}P$
3). $\frac{2(P^{2} + 1)}{P}$
4). $\frac{2P}{(P^{2} + 1)}$
What is the simplified value of (sin A - cosec A)(sec A - cos A) (tan A + cot A)?
1). 1
2). -1
3). 0
4). 2
What is the simplified value of $sec^{4} \theta - sec^{2} \theta tan^{2} \theta?$
1). $cosec^{2} \theta$
2). $sec^{2}\theta$
3). $cot^{2} \theta$
4). $sec \theta tan \theta$
The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?
1). $\frac{7}{2}$
2). 7
3). $7\sqrt{2}$
4). 14
The length of diagonal of a square is $9\sqrt{2}$ cm. The square is reshaped to form a triangle. What is the area (in cm2) of largest incircle that can be formed in that triangle?
1). $6\pi$
2). $9\pi$
3). $12\pi$
4). $15\pi$