If Cos θ = 15/17 , then what is the value of Cosec θ?

Δ XYZ is right angled at Y. If m∠Z = 30°. What is the length of YZ (in cm), if ZX = 9 cm?

What is the value of √2 Sec 45° + (1/√3)Tan 30°?

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 1:2 and area of ΔABC is 45 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

If ax - 4y = -6 has a slope of -3/2. What is the value of a?

The co-ordinates of the centroid of a triangle ABC are (2 , 2). What are the co-ordinates of vertex C if co-ordinates of A and B are (7 , -1) and (1 , 2) respectively?

What is the reflection of the point (-3, 1) in the line x = -2?

What is the sum of the first 17 terms of an arithmetic progression if the first term is -20 and last term is 28?