APPLICATION OF DIFFERENTIATION
TEST 1 : Choose the correct option
* Required
NAME OF THE STUDENT
*
Your answer
NAME OF KV
*
Your answer
CLASS
*
Your answer
SECTION
*
Your answer
1. The volume of a sphere is increasing at 3 cm^3/sec. The rate at which the radius increases when radius is 2cm, is
*
1 point
(3/32π)cm/sec
(3/16π) cm/sec
(3/48π) cm/sec
(1/24π) cm/sec
2. In a sphere the rate of change of surface area is
*
1 point
8π times the rate of change of diameter
2π times the rate of change of diameter
2π times the rate of change of radius
8π times the rate of change of radius
3. If there is an error of a% in measuring the edge of a cube , then percentage error in its surface is
*
1 point
2a%
a/2%
3a%
none of these
4. If s=t^34t^2+5 describes the motion of a particle , then its velocity when the acceleration vanishes, is
*
1 point
16/9 unit/sec
32/3 unit/sec
4/3 unit/sec
16/3 unit/sec
5. The circumference of a circle is measured as 28cm with an error of 0.01cm. The percentage error in the area is
*
1 point
1/14
0.01
1/7
none of these
6. While measuring the side of an equilateral triangle an error of k% is made , the percentage error in its area is
*
1 point
k%
2k%
k/2%
3k%
7. The equation to the normal to the curve y=sinx at (0,0) is
*
1 point
x = 0
y = 0
x+y = 0
x  y = 0
8. The point on the curve y^2=x where tangent makes 45 degree angle with xaxis is
*
1 point
(1/2 ,1/4)
(1/4,1/2)
(4,2)
(1,1)
9. The normal at the point (1,1) on the curve 2y+x^2 =3 is
*
1 point
x+y=0
xy=0
x+y+1=0
xy=1
10. If the function f(x)=x^39kx^2+27x+30 is increasing on R , then
*
1 point
k lies in[1,1)
k<1 or k>1
0<k<1
1<k<0
Submit
Never submit passwords through Google Forms.
This content is neither created nor endorsed by Google.
Report Abuse

Terms of Service

Privacy Policy
Forms