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Observe the following Lists ul("List -...

Observe the following Lists
`ul("List - I")`
A) If `(3x)/((x-a)(x-b))=(2)/(x-a)+(1)/(x-b)` then `a:b` is
B) If `(x+4)/((x^(2)-4)(x+1))=(A)/(x-2)+(B)/(x+2)+(C)/(x+1)`
then `A+B+C` is
C) If `(2x+1)/((x-1)(x^(2)+1))=(A)/(x-1)+(Bx+C)/(x^(2)+1)` then `C=`
`ul("List - II")`
1) Slope of `x` -axis
2) `sin. (3 pi)/(2)`
3) `{:(" "Lt),(x rarr 0):} (Tan x-Sinx)/(x^(3))`
4) Slope of the line `6x+3y-7=0`
The correct match is

A

`1:2`

B

`-2:1`

C

`1:3`

D

`3:1`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-PARTIAL FRACTIONS-EXERCISE - II
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  6. If (x^(4))/((x-a)(x-b)(x-c))= P(x)+(A)/(x-a)+(B)/(x-b)+(C)/(x-c) then ...

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  7. The partial fractions of (x^(3)-5)/(x^(2)-3x+2) are

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  8. The partial fractions of (6x^(4)+5x^(3)+x^(2)+5x+2)/(1+5x+6x^(2)) are

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  10. The partial fractions of (x^(2))/((x^(2)+a^(2))(x^(2)+b^(2))) are

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  11. The partial fractions of (1)/((x^(2)+9)(x^(2)+16)) are

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  12. (3x^(2)+x+1)/((x-1)^(4))=(A)/(x-1)+(B)/((x-1)^(2))+(C)/((x-1)^(3))+(D)...

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  13. If (x^(4)+24x^(2)+28)/((x^(2)+1)^(3))=A/((x^(2)+1))+B/((x^(2)+1)^(2))+...

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  14. Resolve into Partial Fractions (vi) (x^(2)+13x+15)/((2x+3)(x+3)^(2)...

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  16. If f(x) is a function of x such that (1)/((1+x)(1+x^(2)))=(A)/(1+x)+(f...

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  18. If (1)/(x(x^(2)+a^(2)))=(A)/(x)+(Bx+C)/(x^(2)+a^(2)) then tan^(-1)(A/B...

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  19. If (x+1)^(2)/(x^(3)+x)=A/x+(Bx+C)/(x^(2)+1) " then "Sin^(-1)(A/C)=

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  20. The partial fractions of ((x+1)^(2))/(x(x^(2)+1)) are

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