Odisha Board Solutions for Chapter: Application of Derivatives, Exercise 4: EXERCISE 8(d)

Author:Odisha Board

Odisha Board Mathematics Solutions for Exercise - Odisha Board Solutions for Chapter: Application of Derivatives, Exercise 4: EXERCISE 8(d)

Attempt the practice questions on Chapter 8: Application of Derivatives, Exercise 4: EXERCISE 8(d) with hints and solutions to strengthen your understanding. Elements of Mathematics Class 12 solutions are prepared by Experienced Embibe Experts.

Questions from Odisha Board Solutions for Chapter: Application of Derivatives, Exercise 4: EXERCISE 8(d) with Hints & Solutions

MEDIUM
12th Odisha Board
IMPORTANT

A cylindrical vessel of capacity 500 cubic metres open at the top is to be constructed. Find the dimensions of the vessel if the material used is minimum given that the thickness of the material used is 2 cm.

EASY
12th Odisha Board
IMPORTANT

Find the coordinates of the point on the curve x2y-x+y=0 where the slope of the tangent is maximum.

EASY
12th Odisha Board
IMPORTANT

Find the points on the curve y=x2+1 which are nearest to the point (0,2).

MEDIUM
12th Odisha Board
IMPORTANT

Show that the minimum distance of a point on the curve a2x2+b2y2=1 from the origin is a+b.

HARD
12th Odisha Board
IMPORTANT

Show that the vertical angle of a right circular cone of minimum curved surface that circumscribes a given sphere is 2sin-1(2-1).

HARD
12th Odisha Board
IMPORTANT

Show that the semi-vertical angle of a right circular cone of maximum volume that circumscribes a given sphere is sin-113.

EASY
12th Odisha Board
IMPORTANT

Show that the shortest distance of the point (0,8a) from the curve ax2=y3 is 2a11.

HARD
12th Odisha Board
IMPORTANT

Show that the triangle of greatest area that can be inscribed in a circle is equilateral.