Question : $\triangle{ABC}$ is a right angled triangle. $\angle \mathrm{C}=90°$, AB = 25 cm and BC = 20 cm. What is the value of $\mathrm{sec}\; A$?

Option 1: $\frac{5}{3}$

Option 2: $\frac{4}{5}$

Option 3: $\frac{4}{3}$

Option 4: $\frac{5}{4}$

Question : $\triangle\mathrm{ABC}$ is a right angled triangle. $\angle \mathrm{A}=90°$, $AB = 4$ cm, and $BC = 5$ cm. What is the value of $\cos B + \cot C$?

Option 1: $\frac{17}{20}$

Option 2: $\frac{29}{20}$

Option 3: $\frac{23}{20}$

Option 4: $\frac{31}{20}$

Question : The sides of a triangle are 9 cm, 6 cm, and 5 cm. What is the value of the circumradius of this triangle?

Option 1: $\frac{9 \sqrt{2}}{2} \mathrm{~cm}$

Option 2: $\frac{9 \sqrt{3}}{5} \mathrm{~cm}$

Option 3: $\frac{9 \sqrt{3}}{4} \mathrm{~cm}$

Option 4: $\frac{27 \sqrt{2}}{8} \mathrm{~cm}$

Question : $\triangle PQR$ is a right-angled triangle. $\angle Q = 90^\circ$, PQ = 12 cm, and QR = 5 cm. What is the value of $\operatorname{cosec}P+\sec R$?

Option 1: $\frac{26}{5}$

Option 2: $\frac{13}{5}$

Option 3: $\frac{18}{5}$

Option 4: $\frac{14}{5}$

Question : Let ABC be a right-angled triangle where $\angle \mathrm{A}=90^{\circ}$ and $\angle \mathrm{C}=45^{\circ}$. Find the value of $\sec \mathrm{C}+\sin \mathrm{C} \sec \mathrm{C}$.

Option 1: $1$

Option 2: $1-\sqrt{2}$

Option 3: $1+\sqrt{2}$

Option 4: $\sqrt{2}-1$