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tan α = 1/2 and tan ẞ = 1/3 tan (α + β) = [tan a + tan ẞ] / [1 - tan x tan β] tan (α + β) = [1/2 + 1/3] / [1-1/2 × 1/3] tan (α + β) = [(3 + 2) /6] / [1-1/6] tan (α + β) = (5/6)/ (5/6) tan (α + β) = 1 tan (α + β) = tan 45° (α + β) = 45°
A right triangle ABC with sides 9 cm ,12cm and 15cm is revolved about the side 12 cm. What is the volume of the solid so obtained? (in cm 3 )
Length and breadth of a rectangle are in the ratio 2:5. If the perimeter of the rectangle is 36 cm more than the length of the rectangle, then find the ...
The diagonal of the square is 10 √ 2 cm. Find the diagonal of another square whose area is triple that of the first square.
In a trapezium, the ratio of the lengths of two parallel sides is 2:5. The height, measured as the perpendicular distance between these parallel sides, ...
If the radius of a right circular cylinder open at both the ends, is decreased by 25% and the height of the cylinder is increased by 25%. Then the curve...
Find the time taken by a pipe, which releases 94.5 m3 of water in a minute to fill an empty cylindrical tank of radius 12 m and height 14 m. ...
A giant circular wheel has a diameter of 28 metres. In how many revolutions will the wheel cover a total of 11 km?
Two sides of the triangle are 14.8 cm and 10 cm. If height of the triangle corresponding to 14.8 cm side is 8 cm find the area?
...A well with 20 m inside diameter is dug 10 m deep. Soil taken out of it has been evenly spread all around it to a width of 30 m to form an embankment. F...
The area of the rectangular field is 800 m² and its perimeter is 104 m. Find how much percent less the breadth of the field is compared to the length o...