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Class XI Revision Quiz Week 3 Day 3

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Question 1

If arg z <0 then arg(-z) –arg(z) is equal to,

Question 2

If for complex number (z1)and(z2), arg (z1/z2)=0 then |z1-z2|is,

Question 3

If co-efficient of (2r – 3)th and (r+1)th term are same, find value of r for expansion of .

Question 4

Sum of the last 30 coefficients in the expansion of (1 + x)59, when expanded in ascending powers of x is

Question 5

Find value of

Question 6

A point particle is held on the axis of a ring of mass m and radius r at a distance r from its centre C. When released, it reaches C under the gravitational attraction of the ring. Its speed at C will be

Question 7

Which graph correctly represent the variation of acceleration due to gravity with the distance from the centre of the earth (radius of the earth =RE)?

Question 8

A satellite moving with velocity v in a force free space collects stationary interplanetary dust at a rate of  where M is the mass (of satellite +dust) at that instant. The instantaneous acceleration of the satellite is

Question 9

Assuming the earth to be a sphere of uniform density, the acceleration due to gravity inside the earth at a distance of r from the centre is proportional to

Question 10

The change in the value of acceleration of earth towards sun when the moon comes from the position of solar eclipse to the position on the other side of earth in line with sun is :

(mass of the moon  radius of the moon’s orbit

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Dec 2JEE & BITSAT