If A is a square matrix of order 3 having a row of zeros, then the determinant of A is *
1)1
2)0
3)3
4)-2
#. Which of the following is not true? *
1)A polynomial function is always continuous
2)A continuous function is always differentiable
3)A differentiable function is always continuous
4)None of these
#. The determinant of a skew symmetric matrix of odd order is *
0
1
-1
None of these
#If A is a square matrix of order 2, then det(-3A) is *
3 det A
-3 det A
9 det A
-9 det A
#. The equation of the normal to the curve y=sinx at the point (π,0) is : *
x+y=π
x+y+π=0
x-y=π
x-y+π=0
#. If the system of the equations x-ky-z=0, kx-y-z=0, x+y-z=0 has a non-zero solution, then the possible values of k are: *
1)-1, 2
2)1, 2
3)0, 1
4)-1, 1
16. A ladder 5 metres in length is resting against vertical wall. The bottom of the ladder is pulled along the ground away from the wall at the rate of 1.5 m/sec. When the foot of ladder is 4.0 metres away from the wall , the rate of decrease of the height on the wall is: *
1)2 m/sec
2)3 m/sec
3)2.5 m/sec
4)1.5 m/sec
17. The area bounded by the curve y=sin x between x=0 and x=2π is *
1)2 sq. units
2)4 sq. units
3)8 sq. units
4)None of these
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