1
GATE ME 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Consider a $$3 \times 3$$ real symmetric matrix $$S$$ such that two of its eigen values are $$a \ne 0,$$ $$b\,\, \ne 0$$ with respective eigen vectors $$\left[ {\matrix{ {{x_1}} \cr {{x_2}} \cr {{x_3}} \cr } } \right],\left[ {\matrix{ {{y_1}} \cr {{y_2}} \cr {{y_3}} \cr } } \right].$$ If $$a\, \ne b$$ then $${x_1}{y_1} + {x_2}{y_2} + {x_3}{y_3}$$ equals
A
$$a$$
B
$$b$$
C
$$ab$$
D
$$0$$
2
GATE ME 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
If a function is continuous at a point,
A
the limit of the function may not exist at the point
B
The function must be derivable at the point
C
the limit of the function at the point tends to infinity
D
the limit must exist the point and the value of limit should be same as the value of the function at the point.
3
GATE ME 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Divergence of the vector field $${x^2}z\widehat i + xy\widehat j - y{z^2}\widehat k\,\,$$ at $$(1, -1, 1)$$ is
A
$$0$$
B
$$3$$
C
$$5$$
D
$$6$$
4
GATE ME 2014 Set 3
Numerical
+1
-0
A group consists of equal number of men and women. Of this group $$20$$% of the men and $$50$$% of the women are unemployed. If a person is selected at random from this group, the probability of the selected person being employed is
Your input ____
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12