Two chords of a circle, \(\overline{AB}\) and \(\overline{CD}\), meet outside the circle at the point P. If m(\(\overline{AP}\)) = 200 mm, m(\(\overline{AB}\)) = 120 mm, and m(\(\overline{CP}\)) = 160 mm, what is the length of \(\overline{CD}\)?
Two circles of same radius 6 cm, intersect each other at P and Q. If PQ = 10 cm, then what is the distance between the centres of the two circles?
Find the value of (sinθ + cosθ)2 + (sinθ - cos θ)2
A grocer claims that he is selling sugar at ₹48/kg, which costs him ₹50/kg, but he is giving 900 g instead of 1000 g. What will be the approximate percentage profit?
How much simple interest will 6,000 earn in 21 months at 8% per annum?