# If f(x) is  a function such that f(x+y)=f(x)+ f(y) and f(1)=2 then f(x)=

1.  x

2.  2x

3.  x2

4.  2x

4

2x

Explanation :
No Explanation available for this question

# In ΔABC, if c (a+b) cos B/2= b(a+c) cos C/2, Then the triangle is

1.  isosceles

2.  right angles

3.  equilateral

4.  none of these

4

isosceles

Explanation :
No Explanation available for this question

# The function y=f(x) satisfying the condition f(x+1/x)=x3+1/x3 is

1.  f(x)=x2

2.  f(x)=x2-2

3.  f(x)=x2+2

4.  f(x)=x3-3x

4

f(x)=x3-3x

Explanation :
No Explanation available for this question

# If f(x) is a function such that f(xy)=f(x)+ f(y) and f(2)=1 then f(x)=

1.  x2

2.  2x

3.  log2 x

4.  logx 2

4

log2 x

Explanation :
No Explanation available for this question

# If f(x)= cos log x then f(x2) f(y2)-1/2[f(x2y2)+f(x2/y2)]=

1.  0

2.  -1

3.  -2

4.  none

4

0

Explanation :
No Explanation available for this question

1.  1/2

2.  π/2

3.  0

4.  -1/2

4

1/2

Explanation :
No Explanation available for this question

# In ΔABC , if a2+b2+c2= 8R2, then the triangle is

1.  right angled

2.  isosceles

3.  equilateral

4.  none

4

right angled

Explanation :
No Explanation available for this question

# If f(x)= sin (log x), then f(xy)+f(x/y)-2f(x) cos (log y)=

1.  0

2.  sin (log x)

3.  cos (log x)

4.  none

4

0

Explanation :
No Explanation available for this question

# The point of intersection of the perpendicular bisectors of the sides of the triangle formed by the points (2,1), (5,2) and (3,4) is

1.

2.

3.

4.

4

Explanation :
No Explanation available for this question

# If f: A→R is defined as f(x)=x3+1 and A={1,2,-1,-2,0} then the range of f is

1.   {0, 1, 2, 7, 9}

2.  {-7, 0, 1, 2, 9}

3.  {-9, 0, 1, 2, 7}

4.  {-1, 0, 1, 2, 9}

4