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Question 1
If , then what is (cos θ – sin θ) equal to?
Question 2
If and is an acute angle, then the value of is
Question 3
Once the angle of elevation of top of a tree was 45° from 400m away from the tree. After 2 months, the tree grew up and now from same point angle of elevation becomes 60°. The tree grew by-
(take )
Question 4
If 2 sin θ – 8 cos2θ + 5 = 0, 0o < θ < 90o, then what is the value of cot 2θ ?
Question 5
The number of real roots of the equation
, is
Question 6
The roots of the equation are
Question 7
Find the total number of solutions of the equations and
Question 8
Number of real roots of the equation is :
Question 9
Let z be a complex number such that |z| = 8 and What is z equal to?
Question 10
Convert (300.65625)10 in its binary equivalent.
Question 11
If A is an identity matrix of order 3, then its inverse (A-1)
Question 12
Find the number of ways in which letters of word “HINDUSTAN” can be arranged such that none of the vowels can not be together?
Question 13
In a certain population 10% of the people are rich, 5% are the famous and 3% are rich and famous. The probability that a person picked at a random from the population is either famous or rich but not both, is equal to:
Question 14
The 7th term of a G.P. is 8 times the 4th term. Find the G.P. when its 5th term is 64 .
Question 15
A fair coin is tossed a fixed number of times. If the probability of getting seven heads is equal to that of getting nine heads, the probability of getting two heads is
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Nov 8CDS & Defence