1
GATE IN 2009
+1
-0.3
The eigen values of a $$2 \times 2$$ matrix $$X$$ are $$-2$$ and $$-3$$. The eigen values of matrix $${\left( {X + 1} \right)^{ - 1}}\left( {X + 5{\rm I}} \right)$$ are
A
$$-3, -4$$
B
$$-1, -2$$
C
$$-1, -3$$
D
$$-2, -4$$
2
GATE IN 2009
+1
-0.3
A sphere of unit radius is centered at the origin. The unit normal at a point $$(x, y, z)$$ on the surface of the sphere is the vector.
A
$$(x, y, z)$$
B
$$\left( {{1 \over {\sqrt 3 }},{1 \over {\sqrt 3 }},{1 \over {\sqrt 3 }}} \right)$$
C
$$\left( {{x \over {\sqrt 3 }},{y \over {\sqrt 3 }},{z \over {\sqrt 3 }}} \right)$$
D
$$\left( {{x \over {\sqrt 2 }},{y \over {\sqrt 2 }},{z \over {\sqrt 2 }}} \right)$$
3
GATE IN 2009
+1
-0.3
A screening test is carried out to detect a certain disease. It is found that $$12$$% of the positive reports and $$15$$% of the negative reports are incorrect. Assuming that the probability of a person getting positive reports is $$0.01,$$ the probability that a person tested gets an incorrect reports is
A
$$0.0027$$
B
$$0.0173$$
C
$$0.1497$$
D
$$0.2100$$
GATE IN Papers
2017
2016
2015
2014
2013
2012
2011
2010
2009
2008
2007
2006
2005
2002
2001
2000
1999
1997
1995
1994
EXAM MAP
Joint Entrance Examination