Tamil Nadu (English Medium) Plus 2 Biology Science Study Materials, Online Learning, Question Papers, Classnotes, Practice Test, MCQ | Smartindia Educational Program : www.smartindia.net.in

The slope of the normal to the curve y = 3 x^{2} at the point where x - co ordinate 2 is

(A)

1/13

(B)

1/14

(C)

-1/12

(D)

1/12

Question-2

The point on the curve y =2 x^{2} - 6 x - 4 at which the tangent is parallel to the x - axis is

(A)

(B)

(C)

(D)

Question-3

What is the surface area of a sphere when the volume is increasing at the same rate as its radius?

(A)

1

(B)

1/2λ

(C)

4λ

(D)

Question-4

If the length of the diagonal of a square is increasing at the rate of 0.2 cm/sec,then the rate of increase of its area when the side is is

(A)

3cm^{2}/sec

(B)

(C)

(D)

Question-5

The angular displacement Θ radians of a fly wheel varies with time t seconds and follows the equation θ =9 t^{2} -2 t^{3} .Determine the angular velocity of the fly wheel when time t = 1 second

(A)

10

(B)

12

(C)

14

(D)

16

Question-6

A cone whose height is always equal to its diameter is increasing in Volume at the rate of 40 cm^{2} /sec . At what rate is the radius increasing when its circular base area is 1m^{2} ?

(A)

1mm/sec

(B)

0.001 cm/sec

(C)

2 mm/sec

(D)

0.002 cm/sec

Question-7

The angle between the curves y = x^{2} and x = y^{2} at their point of intersection other than the origin is

(A)

(B)

(C)

(D)

Question-8

For the curve x = t^{2}-1, y = t^{2 }- t, the tangent is perpendicular to x - axis when

(A)

t = 0

(B)

t = l

(C)

(D)

Question-9

For what values of x, the rate of increase of x^{3} -5x^{2} +5x+6 is twice the rate of increase of x ?

(A)

1, 7/3

(B)

3, 1/3

(C)

3, 7/3

(D)

1/3, 7/3

Question-10

If V=,at what rate in cubic unit S in V increasing , where r =10 and =0.01 ?

(A)

(B)

(C)

(D)

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