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Question 1
A man is standing exactly at the mid-point between two buildings. If the angle of elevation of top of the buildings are 22.5° and 15°. Then find the ratio of heights of shorter building to taller building.
Question 2
There are two men, standing either side of a 50m high traffic light. The men observe the top of traffic light at angles of elevation as 45° and 60° respectively. If a car crosses those two men in 20 sec wat was the speed of a car approximately? (take )
Question 3
A coin is biased so that heads comes up thrice as likely as tails. For three independent tosses of a coin, what is the probability of getting at most two tails?
Question 4
If is divisible by 64 for all , then the least negative interval value of is
Question 5
Let . Then, which of the following is true?
Question 6
Add:
Question 7
Find the value of
Question 8
If the perimeter of a rectangle is 100 cm, what will be the sides such that its area is maximum:
Question 9
The area bounded by the curves and is:
Question 10
A function from the set of natural numbers to integers defined by
is
Question 11
The set of values of parameter for which the function defined by is bijective, is
Question 12
The vector equation of the plane passing through the points and , is
Question 13
The length of the perpendicular from the origin to the plane passing through the point and containing the line is
Question 14
let and be position vectors of P and Q, respectively, with respect to O and ,. The points R and S divide PQ internally and externally in the ratio 2 : 3 respectively. If are perpendicular then:
Question 15
If , then is:
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