class 12 ISC Maths Board Questions Chapter Application of Derivatives
Here we provide Class 12 maths important notes,board questions and predicted questions with Answers for chapter Application of Derivatives. These important notes,board questions and predicted questions are based on ICSE board curriculum and correspond to the most recent Class 10 chemistry syllabus. By practising these Class 10 materials, students will be able to quickly review all of the ideas covered in the chapter and prepare for the Class 10 Board examinations.
2016
Q1
Prove that the line 2x - 3y = 9 touches the conics y2 = -8x. Also, find the point of
contact.
solutions
solutions
Q2
A rectangle inscribed in a semi circle of radius r with one of its sides on the diameter of the
semicircle. Find the dimension of the rectangle to get maximum area. Also, find the maximum area.
solutions
solutions
2017
Q3
If y - 2x - k = 0 touches the conic 3x2 - 5y2 = 15, find the value of k.
solutions
solutions
Q4
Show that the surface area of a closed cuboid with square base and given volume is minimum when it
is a cube.
solutions
solutions
2018
Q5
Find the approximate change in the volume 'V' of a cube of side x meters caused by decreasing the
side by 1%.
solutions
solutions
Q6
Find the points on the curve y = 4x3 - 3x + 5 at which the equation of the tangent is
parallel to the x-axis.
OR
Water is dripping out from a conical funnel of semi vertical angle π/4 at the uniform rate of 2 cm2/sec in the surface, through a tiny hole at the vertex of the bottom. When the slant height of the water level is 4 cm, find the rate of decrease of the slant height of the water.
solutions
OR
Water is dripping out from a conical funnel of semi vertical angle π/4 at the uniform rate of 2 cm2/sec in the surface, through a tiny hole at the vertex of the bottom. When the slant height of the water level is 4 cm, find the rate of decrease of the slant height of the water.
solutions
Q7
A cone is inscribed in a sphere of radius 12 cm. If the volume of the cone is maximum, find its
height.
solutions
solutions
2019
Q8
13 m long ladder is leaning against the wall, touching the wall at a certain height from the ground
level. The bottom of the letter is pulled away from the wall, along the ground at the rate of 2m/s.
How fast is the height of the world decreasing when the foot of the letter is 5 m away from the wall
?
solutions
solutions
Q9
(a) A volume of a closed rectangular metal box with a square base is 4096 cm3. The cost
of polishing the outer surface of the box is Rs 4 per cm2. Find the dimension of the box
for the minimum cost of polishing it.
OR
(b) Find the point on the straight line 2x + 3y = 6, which is closest to the origin.
solutions
OR
(b) Find the point on the straight line 2x + 3y = 6, which is closest to the origin.
solutions
2020
Q10
The edge of variable cube is increasing 10 cm/sec. How fast is the volume of the cube increasing
when the edge is 5 cm long?
solutions
solutions
Q11
The equation of tangent at (2,3) on the curve y2 = px3 + q is y = 4x - 7. Find
the values of 'p'
and 'q'.
solutions
solutions
Q12
(a) Show that the radius of a closed right circular cylinder of given surface area and maximum
volume is equal to half of its height.
OR
(b) State that the area of right angled triangle of given hypotenuse is maximum when the triangle is isosceles.
solutions
OR
(b) State that the area of right angled triangle of given hypotenuse is maximum when the triangle is isosceles.
solutions
Reach Us
SERVICES
- ACADEMIC
- ON-LINE PREPARATION
- FOUNDATION & CRASH COURSES
CONTACT
B-54, Krishna Bhawan, Parag Narain Road,
Near Butler Palace Colony Lucknow
Contact:+918081967119
Add a comment