# 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

4

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

4

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

4

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

4

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

4

-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

4

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

4

(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

4

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

4

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

4