Δ ABC is right angled at B. If m∠A = 60°, then what is the value of sec C.sin A?

What is the value of (1/√2) Cot 45° + (1/√3) Cosec 60°?

ΔABC is similar to ΔPQR. If ratio of perimeter of ΔABC : perimeter of ΔPQR is 5:9 and if PQ = 45 cm, then the length of AB (in cm) is?

What is the slope of the line perpendicular to the line passing through the points (-5 , 1) and (-2 , 0)?

Point P is the midpoint of segment AB. Co-ordinates of P are (3 , 1) and B are (5, -4). What are the co-ordinates of point A?

What is the reflection of the point (-2, 5) in the line x = -1?

What is the sum of the first 12 terms of an arithmetic progression if the first term is -19 and last term is 36?

A fraction is greater than its reciprocal by (72)/(77). What is the fraction?