1
GATE CSE 1987
MCQ (Single Correct Answer)
+2
-0.6
If a, b and c are constants, which of the following is a linear inequality?
A
ax + bcy = 0
B
$$a{x^2}\, + \,c{y^2} = 21$$
C
$$abx\, + \,{a^2}y\, \ge \,15$$
D
$$xy\, + \,ax\,\, \ge \,20$$
2
GATE CSE 1987
MCQ (Single Correct Answer)
+2
-0.6
A square matrix is singular whenever:
A
The rows are linearly independent
B
The columns are linearly independent
C
The row are linearly dependent
D
None of the above
3
GATE CSE 1987
Subjective
+2
-0
(a) Solve the recurrence equations
$$\,\,\,\,\,\,\,\,\,T\left( n \right) = T\left( {n - 1} \right) + n$$
$$\,\,\,\,\,\,\,\,\,T\left( 1 \right) = 1T$$
(b) What is the generating function?
$$\,\,\,\,\,\,\,\,\,G\left( z \right)$$ for the sequence of Fibonacci numbers?
4
GATE CSE 1987
Subjective
+1
-0
(a) How many binary relations are there on a set A with n elements?

(b) How many one - to - one functions are there from a set A with n elements onto itself

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