The two curves x=y2, xy=a3 cut orthogonally at a point, then a2 is equal to

1.  1/3

2.  1/2

3.  2

4.  3

4

1/2

Explanation :
No Explanation available for this question

If log(1+x)-[(2x)/(2+x)]is increasing,then

1.  0 < x < ∞

2.  -∞ < x < 0

3.  -∞ < x < ∞

4.  1 < x < 2

4

1 &lt; x &lt; 2

Explanation :
No Explanation available for this question

The approximate value of (1.0002)3000 is

1.  1.2

2.  1.4

3.  1.6

4.  1.8

4

1.6

Explanation :
No Explanation available for this question

Order of the differential equation of the family of all concentric circles centered at (h, k) is

1.  1

2.  2

3.  3

4.  4

4

1

Explanation :
No Explanation available for this question

The solution of (dy/dx)+(y/3)=1 is

1.  y=3+cex/3

2.  y=3+ce-x/3

3.  3y=c+ex/3

4.  3y=c+e-x/3

4

y=3+ce<sup>-x/3</sup>

Explanation :
No Explanation available for this question

y+ x2=(dy/dx) has the solution

1.  y+x2+2x+2=cex

2.  y+x+2x2+2=cex

3.  y+x+x2+2=ce2x

4.  y2+x+x2+2=ce2x

4

y+x<sup>2</sup>+2x+2=ce<sup>x</sup>

Explanation :
No Explanation available for this question

The solution of dy/dx = (x/y)-1/3 is

1.  x2/3+ y2/3=c

2.  y2/3-x2/3=c

3.  x1/3+y1/3=c

4.  y1/3-x1/3=c

4

y<sup>2/3</sup>-x<sup>2/3</sup>=c

Explanation :
No Explanation available for this question

The function f: R→R is defined by f(x)=cos2x+sin4x for xεR, then f(R) is equal to

1.  (3/4,1]

2.  [3/4,1)

3.  [3/4,1]

4.  (3/4,1)

4

[3/4,1]

Explanation :
No Explanation available for this question

If the functions f and g are defined by f(x)=3x-4, g(x)=2+3x for xεIR respectively, then g-1(f-1(5)) is equal to

1.  1

2.  1/2

3.  1/3

4.  1/4

4

1/3

Explanation :
No Explanation available for this question

1.  4b/(c+a-b)

2.  4c/(a+b-c)

3.  4b/(c-a-b)

4.  4a/(a+b-c)

4