R S Aggarwal Solutions for Exercise 1: EXERCISE

Author:R S Aggarwal

R S Aggarwal Mathematics Solutions for Exercise - R S Aggarwal Solutions for Exercise 1: EXERCISE

Attempt the free practice questions from Exercise 1: EXERCISE with hints and solutions to strengthen your understanding. SENIOR SECONDARY SCHOOL MATHEMATICS FOR CLASS 12 solutions are prepared by Experienced Embibe Experts.

Questions from R S Aggarwal Solutions for Exercise 1: EXERCISE with Hints & Solutions

MEDIUM
12th CBSE
IMPORTANT

Water is dripping through a tiny hole at the vertex in the bottom of a conical funnel at a uniform rate of 4 cm3/s. When the slant height of the water is 3 cm, the rate of decrease of the slant height of the water in cm/s, given that the vertical angle of the funnel is 120° is a596 cm/s. Find a. (Take π=227)

MEDIUM
12th CBSE
IMPORTANT

Oil is leaking at the rate of 16 mL/s from a vertically kept cylindrical drum containing oil. If the radius of the drum is 7 cm and its height is 60 cm, find the rate at which the level of the oil is changing when the oil level is 18 cm.

MEDIUM
12th CBSE
IMPORTANT

A 13 m long ladder is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2 m/s. How fast is its height on the wall decreasing when the foot of the ladder is 5 m away from the wall? 

MEDIUM
12th CBSE
IMPORTANT

A man is moving away from a 40 m high tower at a speed of 2 m/s. Find the rate is which the angle of elevation of the top of the tower is changing when he is at a distance of 30 metres from the foot of the tower. Assume that the eye level of the man is 1.6 m from the ground.

Question Image

EASY
12th CBSE
IMPORTANT

An angle πk which increases twice as fast as its sine. Find the value of k.

EASY
12th CBSE
IMPORTANT

The radius of a balloon is increasing at the rate of 10 cm/sec. At what rate is the surface area of the balloon increasing when the radius is 15 cm?

EASY
12th CBSE
IMPORTANT

An edge of a variable cube is increasing at the rate of 5 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

EASY
12th CBSE
IMPORTANT

 The side of an equilateral triangle are increasing at the rate of 2 cm/sec. Find the rate at which the area is increasing when the side is 10 cm.