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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

0


Explanation :
No Explanation available for this question

1.  1/2

2.  π/2

3.  0

4.  -1/2

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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

View Answer  
4
Correct Answer :

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.  

View Answer  
4
Correct Answer :


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}

View Answer  
4
Correct Answer :

{-7, 0, 1, 2, 9}


Explanation :
No Explanation available for this question
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