Let f : R→R be defined by where [y] denotes the integral part of y. If f is continuous at x = 0,then β-α=

1.  -1

2.  1

3.  0

4.  2

4

1

Explanation :
No Explanation available for this question

1.  1/4

2.  4

3.  -3/4

4.  1

4

1/4

Explanation :
No Explanation available for this question

If xy≠0, x+y≠0 and xmy n where m,n ∉ N then dy/dx=

1.  y/x

2.  (x+y)/xy

3.  xy

4.  x/y

4

y/x

Explanation :
No Explanation available for this question

x2+y2=t+(1/t),x4+y4=t2+(1/t2)⇒x3y(dy/dx)=

1.  -1

2.  1

3.  0

4.  t

4

-1

Explanation :
No Explanation available for this question

f(x)=(x2-1)7⇒f(14)(x)=

1.  0

2.  2!

3.  7!

4.  14!

4

14!

Explanation :
No Explanation available for this question

The coordinates of the point P on the curve x=a(θ + sinθ),y= a(1-cosθ), where the tangent is inclined at an angle

1.

2.

3.

4.  (a,a)

4

Explanation :
No Explanation available for this question

If Δ is the area of the triangle formed by the positive x-axis and the normal and tangent to the circle x2+y2=4 at (1,√3),then Δ=

1.  √3/2

2.  √3

3.  2√3

4.  6

4

2√3

Explanation :
No Explanation available for this question

If the volume of a sphere increases at the rate of 2πcm3/sec, then the then the rate of increase of its radius (in cm / sec), when the volume is 288π cm3

1.  1/36

2.  1/72

3.  1/18

4.  1/9

4

1/72

Explanation :
No Explanation available for this question

If u=f(r),where r2=x2+y2 then =

1.  f11(r)

2.  f11(r)+ f1(r)

3.  f11(r)+(1/r) f1(r)

4.  f11(r)+r f1(r)

4

f11(r)+(1/r) f1(r)

Explanation :
No Explanation available for this question

1.

2.

3.

4.

4