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Class XI Revision Quiz Week 2 Day 4

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Question 1

The range of the function

Question 2

For a real number

we denote [

] the largest integer less than or equal to

. If

are real numbers with

then which of the following statements is always true?

Question 3

The period of sin 2x +cos 3x is

Question 4

The domain of sin^-1(log₅x) is

Question 5

If, find

Question 6

A man weighing 80 kg is standing at the centre of a flat boat and he is 20 m from the shore. He walks 8 m on the boat towards the shore and then halts. The boat weight 200 kg. How far is he from the shore at the end of this time?

Question 7

A system of N particles is free from any external forces. Which of the following must be true for the sum of the magnitudes of the momenta of the individual particles in the system?

Question 8

A system of N particles is free from any external forces. Which of the following is true for the magnitude of the total momentum of the system?

Question 9

A homogeneous solid cylindrical roller of radius R and mass M is pulled on a cricket pitch by a horizontal force. Assuming rolling without slipping, angular acceleration of the cylinder is :

Question 10

Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure). The moment of inertia of the system about the axis passing perpendicularly through the centre of the rod is :

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Sep 22JEE & BITSAT