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1.find the condition that the root of the equation ax^2+bx+c=0 may differ by 5. 2.if the equation x^2+px+q=0 and x^2+p'x+q'=0 have a common root ,show that it must be equal to pq'-- p'q/q--q' or q--q'/p'--p ...
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if tan θ=2 is satisfied by α, β then find the value of tan α/2+tanβ/2=1. ...
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An NCC is going at a uniform speed of 6 Km/hr through a place under a berry tree on which a bird is sitting at height of 12.1m. At a particular instant the bird drop a berry . Which cadet (give the distance from the tree at t ...
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if sin β=1/5 sin(2α+β) show that tan(α+β)=3/2 tan α ...
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prove that cos 180°/15. cos 360°/15. cos 540°/15.............to 7 factors=1/2^7 ...
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in a soccer practice session the football is kept at the centre of the field 40yards from the 10ft high goalpoast. a goal is attempted by kicking the football at a speed of 64ft/s at an angle of 45° to the horizontal. will t ...
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a ball is dropped from a height of 5m onto a sandy floof and penentrates the sand upto 10 cm before coming to rest . find the retardation of the ball in sand assuming it to be uniform. ...
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a healthy young man standing at a distance of 7m from a 11.8 m high building sees a kid slipping from the top floor . with what speed (assumed uniform ) should he run to catch the kid at an arm height (1.8m) ...
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eliminate θ from atanθ +bcot2θ = c acotθ - btan2θ = c ...
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sinθ+cosφ=1/√2 and cosθ+sinφ=√2/3 then find the value of sin(θ+φ) and tan (θ-φ)/2 ...
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cosα+cos2α+p , sinα+sin2α=q then eliminate α ...
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sin9°=1/4(√3+√5-√5-√5) ...
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Prove that sin 27°=1/4(√3+√5-√3-√5) ...
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If cos(α-- 3θ) cos3θ =sin(α-- 3θ) sin3θ =m prove that cos α=2--m^2 m. TRIGNOMETRY ...
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A person sitting on the top of a tall building is droping ball at regular intervals of one seconds .Find the position of 3rd,4th,and5th ball when the sixth ball is being dropped. ...
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A car travelling at 60 Km/h overtake another car travelling at 42Km/h .Assuming each car to be 5.0m long,find the tame taken during the overtake and the total road distance used for the overtake ...
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if a person is walking in south direction with a speed of 20 m/s and in that time the direction of the wind ne direction and if the person increases the speed and walking with a speed of 40m/s then the direction of wind will ...
