If $Tan\theta $ = $\frac{9}{40}$, then $Sec\theta $ = ?
1). $\frac{40}{41}$
2). $\frac{9}{41}$
3). $\frac{41}{40}$
4). $\frac{41}{9}$
$\triangle PQR$ is right angled at Q. If $m\angle R$ = $60^{0}$, what is the length of PR (in cm), if RQ = $4\sqrt{3}$ cm?
1). 8
2). 4
3). $\frac{8}{\sqrt{3}}$
4). $8\sqrt{3}$
What is the value of$ Cot 60^{0} - Cos 45^{0}$?
1). $\frac{\left(9 -2 \sqrt{3}\right)}{9}$
2). $\frac{\left(2\sqrt{6}-1\right)}{\sqrt{3}}$
3). $\frac{(1 -2 \sqrt{3})}{2}$
4). $\frac{\left(\sqrt{2}-\sqrt{3}\right)}{\sqrt{6}}$
D and E are points on side AB and AC of $\triangle ABC$. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of $\triangle ADE$ and area of quadrilateral BDEC?
1). 4:21
2). 4:25
3). 4:29
4). 4:9
Slope of the line AB is $-\frac{2}{3}$. Co-ordinates of points A and B are (x , -3) and (5 , 2) respectively. What is the value of x?
1). 4
2). -14
3). 12.5
4). -4