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What must be added to the polynomial (x) =x4+ 2x3-2x2•+x-l so that the
resulting polynomial is exactly divisible by x-2+ 2x-3?
A boy standing on a horizontal plane finds a bird flying at a distance of
100 m from him at an elevation of 300.A girl standing On the roof Of 20 m
high building finds the angle Of elevation of the same bird to be 450.Both
the boy and the girl are On the opposite side of the bird .Find the distance of
the girl from the bird.
The angle of elevation ofa cloud from a point 60 m above the lake is
300and the angle Of depression of the reflection of the cloud in the lake is
600. Find the height of the cloud.
A bridge across a river makes an angle of 450 With the river bank.lf the
length of the bridge across the river is 200 m, what is the breadth ofthe
river?
A pole 5m high is fixed on the top Of a tower. The angle Of elevation Of the
top of the pole as Observed from a point A on the ground is 600 and the
angle of depression of the point A from the top Of the tower is 450.Find the
height Of the tower.
Sum Of sixth and ninth terms Of an A.p is 101 and the sum Of the tenth
and sixteenth terms is 178.Find the first three terms Of the A.P.
Solve the equation :
If a person had walked I km/hr faster, he would have taken 15 minutes less
to walk 3 km.Find the original rate of his walking.
A motor boat whose speed is 20 km,'hr in still water ,takes one hour more to
go 48 km upstream than to return downstream to the same spot.Find the
speed of the stream.
sum Of n, 2n, 3n terms Ofan A.P are s I , S2 , S3 respectively.prove that
S, = 3(S2- SD.
One year ago,a man 8 times as old as his son.Now his age is equal to
the square of his son's age-Find their present ages.
Swati can row her boat at a speed Of 5 km/hr in still water. If it takes her I hr
more to row the boat 525 km upstream than to return downstream, find the
speed of the stream.
Rs, 6500 were divided equally among a certain number of persons _ Had
there been 1 5 more persons,each would have got Rs.30 less.Find the
original number Of persons.
If the sum of the zeroes Of the quadratic polynomial 2t+3k is equal
to their product , find the value Of k.
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