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find-the-value-of-1-x-1-x-98-times0-11infinity-1



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Q1.

Simplify the expression
(1+x)1000+x(1+x)999+x2(1+x)998++x1000 and find the coefficient of x50

Q2.
The value of p, for which coefficient of x50 in the expression (1+x)1000+2x(1+x)999+3x2(1+x)998+....+1001x1000 is equal to 1002Cp, is
Q3.
If x,y,z are integers in A.P lying between 1 and 9, and x51,y41, and z31 are three digits numbers, then the value of ∣ ∣543x51y41z31xyz∣ ∣
  1. xy+z
  2. x+y+z
  3. 0
  4. None of these
Q4.
If x, y, z are integers in A.P lying between 1 and 9 and x51,y41 and z31 are three digit numbers, then the value of ∣ ∣543x51y41z31xyz∣ ∣ is?
  1. x+y+z
  2. (2yxz)=0
  3. xy+z
  4. x+2y+z
Q5.
If x,y,z are the integers in A.P,  lying between 1 and 9 and x51,y41 and z31 are three digits numbers, then the value of ∣ ∣543x51y41z31xyz∣ ∣ is 
  1. 0
  2. x+z=2y
  3. None of these
  4. x+y=z

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