Question
In the given figure O is the centre, then find ∠ACB
?Solution
OA = OB (radius) Then ∠OAB = ∠OBA = 30° {Angle subtended by the radius to the centre is} ∠AOB = 180 - (∠OAB+∠OBA) = 180 - 30 - 30 = 120° Major ∠AOB = 360 - 120 = 240° Then ∠ACB = 1/2 × 240 = 120° {Angle subtended in the arc is half of that subtended at the centre.}
If P is the amount invested at 5% p.a compounded half yearly for 2 years, what would be the amount received at the end of 2 years?
‘A’ alone can complete a work in 30 days. ‘B’ alone can complete the same work in 40 days. If ‘A’ and ‘B’ work together for 6 days, then...
In a 500-meter race, competitor 'P' runs at a speed of 18 km/h and allows a head start of 25 meters to competitor 'Q,' who eventu...
Let Z = (1+3i)/(1-2i) .Then the argument of z lies in which quadrant?
Determine the area of the largest circle that can be inscribed inside a square with a side length of 28 cm? (Use π = 22/7)
A retailer buys two items at the same cost price. He sells one at a 25% profit and the other at a 20% loss. If the overall profit is rupees 15, find the...
The sides of a triangle measure 13 cm, 14 cm, and 15 cm. Find the area of the triangle.
Two pipes can fill a tank in 10 hours and 12 hours, respectively, while a third pipe can empty it in 20 hours. If all the three pipes are opened simulta...
A tangent from point P touches a circle at T. If OP = 13 cm and radius = 5 cm, find PT.
Relevant for Exams:
