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How many terms are there in the expressi...

How many terms are there in the expression of `( 1+ 2x + x^(2))^(5) + ( 1+ 4y+ 4y^(2))^(5)` ?

A

12

B

20

C

21

D

22

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The number of second degree terms in the expression 2x^(3)-3x^(2)y+5x^(2)-6y^(2)+8x^(2)y-4x^(2)y^(2) is _____

    A
    3
    B
    2
    C
    1
    D
    4

  • The centres of the circles x ^(2) + y ^(2) =1, x ^(2) + y^(2)+ 6x - 2y =1 and x ^(2) + y^(2) -12 x + 4y =1 are

    A
    Same
    B
    Collinear
    C
    Non-collinear
    D
    None of these

  • If r_(1), r_(2) " and " r_(3) are the radii of the circle x^(2) + y^(2) - 4x + 6y = 5 , x^(2) + y^(2) + 6x - 4y = 3 " and " x^(2) + y^(2) - 2x + 4y = 8

    A
    ` r_(1) gt r_(2) gt r_(3)`
    B
    `r_(2) gt r_(3) gt r_(1)`
    C
    `r_(3) gt r_(1) gt r_(2)`
    D
    `r_(1) gt r_(3) gt f_(2)`

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    The length of the tangent from (5,1 ) to the circle x^(2) +y^(2) + 6x - 4y -3 = 0 is

    If x= (sqrt""5) + 1 and y = (sqrt""5) -1 , then what is the value of (x^(2)//y^(2)) + (y^(2)//x^(2)) + 4[(x//y) + (y//x)]+6 ?

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