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Question 1
If and are positive quantities, then the condition for the difference between the arithmetic mean and the geometric mean to be greater than 1 is
Question 2
Calculate the value of determinant: :
Question 3
If the roots of the equation are in A.P., then their common difference will be:
Question 4
If X is skew – symmetric matrix of order 3 , then the matrix X4 is:
Question 5
Let g(x) be a polynomial of second degree. If g(1) = g(-1) and l, m and n are in arithmetic progression , then are in
A.
Question 6
What will be the sum of n terms of the series
Question 7
If is A an orthogonal matrix of order 3 and then which of the following is/are correct?
1) |AB| = ± 47
2) AB = BA
Select the correct answer using the code given below:
Question 8
If x is any real number, then belongs to which one of the following intervals?
Question 9
From a deck of cards, cards are taken out with replacement. What is the probability that the fourteenth card taken out is an ace?
Question 10
Find the equation of the normal to the curve at the point whose ordinate is 1
Question 11
is equal to
Question 12
Consider the following in respect of the differential equation :
1) The degree of the differential equation is 1
2) The order of the differential equation is 2
Which of the above statements is/are correct?
Question 13
, where and denotes the greatest integer function,is
Question 14
For what value of a , f(x) = -x3 +4ax2 +2x – 5 is decreasing for ∀ x.
Question 15
For the next two (02) items that follow :
Consider the curve x = a (cos θ + θ sin θ) and y = a (sin θ - θ cos θ).
What is equal to?
Question 16
For the next two (02) items that follow :
Consider the curve x = a (cos θ + θ sin θ) and y = a (sin θ - θ cos θ).
What is equal to?
Question 17
value of a for which , and are coplanar, is
Question 18
Find 2a if a = + 2 -3 ?
Question 19
The point (1, 3) and (5, 1) are two opposite vertices of a rectangle. The other two vertices lie on the line y = 2x + c. What is the value of c?
Question 20
If the number 235 in the decimal system is converted into a binary system, then what is the resulting number?
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