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Suppose f(x) is a function satisfying th...

Suppose f(x) is a function satisfying the folowing conditions:
(i)f(0)=2,f(1)=1
(ii) f(x) has a minimum value at `x=(5)/(2)`
(iii) for all xf'(x)= `|{:(2ax,2ax-1,2ax+b+1),(b,b+1,-1),(2(ax+b),2ax+2b+1,2ax+b):}|`
The value of f(2)+f(3) is

A

1

B

`(3)/(2)`

C

2

D

`(5)/(2)`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-DETERMINANTS -Exercise (Passage Based Questions)
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  2. Consider the system of equations x+y+z=5, x+2y+3z=9, x+3y+lambda z=m...

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  3. If Delta=|{:(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33)...

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  4. If Delta=|{:(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33)...

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  5. If Delta=|{:(a(11),a(12),a(13)),(a(21),a(22),a(23)),(a(31),a(32),a(33)...

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  6. If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0 The value of ...

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  7. If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0. If the abso...

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  8. If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0. If a = al...

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  9. Suppose f(x) is a function satisfying the folowing conditions: (i)f(...

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  10. Suppose f(x) is a function satisfying the folowing conditions: (i)f(...

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  11. Suppose f(x) is a function satisfying the folowing conditions: (i)f(...

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  12. If |{:(x,e^(x-1),(x-1)^(3)),(x-lx,cos(x-1),(x-1)^(2)),(tanx,sin^(2)x,c...

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  13. If |{:(x,e^(x-1),(x-1)^(3)),(x-lx,cos(x-1),(x-1)^(2)),(tanx,sin^(2)x,c...

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  14. If |{:(x,e^(x-1),(x-1)^(3)),(x-lx,cos(x-1),(x-1)^(2)),(tanx,sin^(2)x,c...

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  15. Let Delta =|{:(-bc,b^(2)+bc,c^(2)+bc),(a^(2)+ac,-ac,c^(2)+ac),(a^(2)+a...

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  16. Let Delta =|{:(-bc,b^(2)+bc,c^(2)+bc),(a^(2)+ac,-ac,c^(2)+ac),(a^(2)+a...

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  17. Let Delta =|{:(-bc,b^(2)+bc,c^(2)+bc),(a^(2)+ac,-ac,c^(2)+ac),(a^(2)+a...

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  18. If Deltan=|{:(a^(2)+n,ab,ac),(ab,b^(2)+n,bc),(ac,bc,c^(2)+n):}|,n in ...

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  19. If Deltan=|{:(a^(2)+n,ab,ac),(ab,b^(2)+n,bc),(ac,bc,c^(2)+n):}|,n in ...

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  20. If Deltan=|{:(a^(2)+n,ab,ac),(ab,b^(2)+n,bc),(ac,bc,c^(2)+n):}|,n in ...

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