$\triangle DEF $ is right angled at E. If $m\angle F$ = $45^{0}$, then what is the value of 2 Sin F x Cot F?
1). $\sqrt{2}$
2). 2
3). $\frac{1}{\sqrt{2}}$
4). $\frac{1}{2}$
What is the value of $Cot45^{0} - \left(\frac{1}{\sqrt{3}}\right)Cosec60^{0}$?
1). $\frac{1}{sqrt{3}}$
2). $\frac{1}{2}$
3). $\frac{1}{sqrt{2}}$
4). $\frac{1}{3}$
D and E are points on side AB and AC of $ \triangle ABC$ . DE is parallel to BC. If AD:DB = 2:5 and area of $ \triangle ABC $ is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?
1). 90
2). 98
3). 94
4). 86
ax + 5y = 8 has slope of $-\frac{4}{3}$. What is the value of a?
1). $\frac{20}{3}$
2). $\frac{3}{20}$
3). $-\frac{20}{3}$
4). $-\frac{3}{20}$
The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?
1). (0,13)
2). (0,5)
3). (0,-5)
4). (0,-13)