CBSE Guess > Papers > Important Questions > Class XII > 2010 > Maths > Mathematics By Mr. Kalpesh
CBSE CLASS XII
Q. 1. Show that the normal at any point 
to the curve 
is at a constant distance from the origin.
Q. 2. Find the intervals in which the function 
given by 
is ,
- increasing
- decreasing .
Q. 3. A large window has a shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12 m ,find the dimensions of the rectangle that will produce the largest area of the window
Q. 4. Show that the maximum value of 
is 
.
Q. 5. Find the maximum and minimum values if any, of the following function given by
-
.
Q. 6. The time 
of a complete oscillation of a simple pendulum of length 
is given by the equation 
,where 
is constant. What is the approximate error in 
when 
is increased by 2 % ?
Q. 7. Prove that the curves 
and 
cut at right angles if 
.
Q. 8. The surface area of a spherical bubble is increasing at the rate of 
. When the radius is
, at what rate is the volume of the bubble increasing .
Q. 9. Discuss the continuity of the 
(Greatest integer function).
Q. 10. Find the values of 
and 
such that the function defined by
is a continuous function .
Q. 11. Find 
in the 
.
Q. 12. Differentiate the function 
.
Q. 13. Find 
of the function if 
prove that
.
Q. 14. Find
.
Q. 15. Using MVT, find a point on the curve 
defined on the interval 
,where the tangent is parallel to the chord joining the end point of the curve .
Paper By Mr. Kalpesh
Email Id : [email protected]
Ph No. : 9837286170
