If f : IR →IR is defined by f(x) = (2sin x - sin 2x) /2x cos x if x ≠ 0   and a  if x=0 then the value of a so that f is continuous at 0 is

1.  2

2.  1

3.  -1

4.  0

View Answer  
4
Correct Answer :

0


Explanation :
No Explanation available for this question

If m1, m2, m3 and m4 respectively denote the moduli of the complex numbers 1 + 4i, 3 + i, 1- i and 2 - 3i, then the correct one, among th

1.  m1 < m2 < m3 < m4

2.  m4 < m3 < m2 < m1

3.  m3 < m2 < m4 < m1

4.  m3 < m1 < m2 < m4

View Answer  
4
Correct Answer :

m<sub>3</sub> &lt; m<sub>2</sub> &lt; m<sub>4</sub> &lt; m<sub>1</sub>


Explanation :
No Explanation available for this question

x = (1-√ y)  / (1 + √ y)⇒dy/dx =

1.  4/(x+1)2

2.  4(x-1) / (1 +  x)3

3.  (x-1) / (1 +x )3

4.  4 / (x+1)3

View Answer  
4
Correct Answer :

4(x-1) / (1 +&nbsp; x)<sup>3</sup>


Explanation :
No Explanation available for this question

1.  0

2.  tan t

3.  1

4.  sin t cos t

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

d/dx  [ a tan-1 x + blog ((x-1)/(x+1))] =  1/(x4-1)⇒a-2b =

1.  1

2.  -1

3.  0

4.  2

View Answer  
4
Correct Answer :

-1


Explanation :
No Explanation available for this question

√3 cosec 20o – sec 20o is equal to :

1.  2

2.  2 sin 20o.cosec 40o

3.  4

4.  4 sin 20o.cosec 40o

View Answer  
4
Correct Answer :

4


Explanation :
No Explanation available for this question

y = easin -1 x⇒(1- x2)yn+2  - (2n+1)xy

1.  -(n2 + a2)yn

2.  (n2 - a2)yn

3.  (n2 + a2)yn

4.  -(n2 - a2)yn

View Answer  
4
Correct Answer :

(n<sup>2</sup> + a<sup>2</sup>)y<sub>n</sub>


Explanation :
No Explanation available for this question

If a = 35o, B = 15o and C = 40o, then tanA . tanB + tanB . tan C  + tanC . tanA is equal to :

1.  0

2.  1

3.  2

4.  3

View Answer  
4
Correct Answer :

1


Explanation :
No Explanation available for this question

When the radius is 10 cm, the percentage error in the volume of the sphere is

1.  1.2

2.  1.0

3.  0.8

4.  0.6

View Answer  
4
Correct Answer :

0.6


Explanation :
No Explanation available for this question

The function f(x) = x3 + ax2 + bx + c, a2 < 3b has

1.  One Maximum value

2.  One minimum value

3.  no extreme value

4.  One maximum and one minimum value

View Answer  
4
Correct Answer :

no extreme value


Explanation :
No Explanation available for this question
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