If tan (8θ – 11°) tan (11θ – 13°) = 1, then find the value of tan10θ + cot5θ ? Sol: We know, if tanA. tanB = 1 Then, A + B = 90° Now, Tan(8θ – 11) . tan (11θ – 13) = 1 ∴ 8θ – 11 + 11θ – 13 = 90 ⇒ 19θ = 114 ⇒ θ = 6 Now,Tan10θ + cot 5θ
READ MORE +If tan (8θ – 11°) tan (11θ – 13°) = 1, then find the value of tan10θ + cot5θ ? Sol: We know, if tanA. tanB = 1 Then, A + B = 90° Now, Tan(8θ – 11) . tan (11θ – 13) = 1 ∴ 8θ – 11 + 11θ – 13 = 90 ⇒ 19θ = 114 ⇒ θ = 6 Now,Tan10θ + cot 5θ
READ MORE +A contractor hires 36 men for a work, they complete 3/4th of the work in 15 days. After that work is stopped due to rain. 25% of the completed work is destroyed by rain and 6 men falls sick. Find the time in which remaining work will be completed. ? a) 9 days b) 12 days ...
READ MORE +The investment made by x and y are in the ratio 3:2. If 5% of the total profit is donated and x gets Rs 8550 as his share of profit then what is the amount of total profit: a) Rs 14000 b) 15000 c) Rs 11050 d) None of these Sol: A : B = 3 : 2 5% of profit is donated Share of A = 8550 ...
READ MORE +There are two concentric circles of different radius. A chord of bigger circle is tangent to smaller circle if the length of tangent is 14 units, find the area enclosed between two circles? a) 49 sq. units ...
READ MORE +In the given figure. BE = FC and AB = EF also AB AD & EF BC, if AD = 3 units, and EF = 4 units. Find the area of ∆EFC (in sq. units) a) 15 b) 41/4 c) 40/3 d) 16 Sol:
READ MORE +If a³-b³= 208 and (a+b)²-ab= 4 then find the value of a²? a) (52-b)² b) (52+b)² c) (52-b) d) (52+b) Sol:
READ MORE +The centers of three circles of 1unit radius each lies on a straight line, AB, A is a point on the circumference of first circle. Second circle touches the first and third circle, From point A, a tangent AE is drawn to third circle, touching third circle at E this tangent cuts second circle at C ...
READ MORE +In a right-angled triangle ABC, right angled at B, point D and E are on AB and BC such that DE||AC. If AD = 3 cm and EC = 4 cm. and area of quadrilateral ADEC is 42cm sq. find the area of ∆DBE. (in sq. cm) a) 54 b) 36 c) 72 d) 64 Sol:
READ MORE +8 men and 6 women can complete a work in 9 days while 6 men and 8 women can complete the same work in 12 days. In how many days 4 men and 7 women can complete the same work? a) 16 days b) 18 days c) 24 days d) 22 days Sol:
READ MORE +A faulty weighing machine reads 1 kg when 900 gm is weighted on it. The shopkeeper marked the price of his goods by 10%, but unfortunately, he was caught by the metrology department and then they ordered him to repair his weighing machine and gave punishment to sell the goods at 10% discount on ...
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