1
GATE CSE 1995
MCQ (Single Correct Answer)
+1
-0.3
Let $$R$$ be a symmetric and transitive relation on a set $$A$$. Then
A
$$R$$ is reflexive and hence an equivalence relation.
B
$$R$$ is reflexive and hence partial order.
C
$$R$$ is not reflexive and hence not an equivalence relation.
D
None of the above.
2
GATE CSE 1995
MCQ (Single Correct Answer)
+1
-0.3
The rank of the following (n + 1) x (n + 1) matrix, where a is a real number is $$\left[ {\matrix{ 1 & a & {{a^2}} & . & . & . & {{a^n}} \cr 1 & a & {{a^2}} & . & . & . & {{a^n}} \cr . & . & . & . & . & . & . \cr . & . & . & . & . & . & . \cr . & . & . & . & . & . & . \cr 1 & a & {{a^2}} & . & . & . & {{a^n}} \cr } } \right]$$$A 1 B 2 C n D Depends on the value of a 3 GATE CSE 1995 MCQ (Single Correct Answer) +1 -0.3 The rank of the following (n + 1) x (n + 1) matrix, where a is a real number is $$\left[ {\matrix{ 1 & a & {{a^2}} & . & . & . & {{a^n}} \cr 1 & a & {{a^2}} & . & . & . & {{a^n}} \cr . & . & . & . & . & . & . \cr . & . & . & . & . & . & . \cr . & . & . & . & . & . & . \cr 1 & a & {{a^2}} & . & . & . & {{a^n}} \cr } } \right]$$$
A
1
B
2
C
n
D
Depends on the value of a
4
GATE CSE 1995
MCQ (Single Correct Answer)
+1
-0.3
If at every point of a certain curve, the slope of the tangent equals $${{ - 2x} \over y}$$ the curve is
A
A straight line
B
A parabola
C
A circle
D
An ellipse
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