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If g(x)=2-|x|,x epsilon[-1,3] and f(x)=-...

If `g(x)=2-|x|,x epsilon[-1,3]` and `f(x)=-1+|x-2|,0 le x le 4`
On the basis of abve information answer the following questions:
Range of the value of `lamda` for which the equation `f(g(x))=lamda`, has two solution is

A

`(-1,1)`

B

`(-1,0]`

C

`(0,1)`

D

None of these

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ALLEN -TEST PAPERS-MATHEMATICS
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  2. If g(x)=2-|x|,x epsilon[-1,3] and f(x)=-1+|x-2|,0 le x le 4 On the b...

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  3. If g(x)=2-|x|,x epsilon[-1,3] and f(x)=-1+|x-2|,0 le x le 4 On the b...

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  5. If x=sin alpha, y=sin(alpha+(4pi)/3),z=sin(alpha+(8pi)/3) u=cos alph...

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  7. lim(xto oo) (sqrt(x^(2)-x+1)-(ax+b))=0 then for kge2, kepsilonN which...

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  8. Suppose a and b are integers such that x^(2)+ax+b+1=0 has positive int...

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  9. If f'(x^(2))=(ln x)/(x^(2)) and f(1)=-1/4 then which of the following ...

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  10. If alpha=3sin^(-1)(2/3) and beta=2cos^(-1)(1/3) then which of the foll...

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  11. For a continuous function f(x), equation f(x)=0 has 4 distinct solutio...

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  13. Consider f(x)={("min"(|x|sqrt(1-x^(2))),,,-1lexle1),([|x|],,,1lt|x|lt2...

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  14. If f(x)={((sinx+cosx)^(cosecx),-(pi)/2ltxlt0),(a,x=0),((e^(1/x)+e^(2/x...

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  15. If f(x) is a monic polynomial of degree '3' such that lim(x to 0) (1+f...

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  16. If f(x) is a monic polynomial of degree '3' such that lim(x to 0) (1+f...

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  17. Let there are two functions defined of f(x)="min"{|x|,|x-1|} on the...

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  18. Let there are two functions defined of f(x)="min"{|x|,|x-1|,|x+1+] ...

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  19. There are positive integer x and y satisfying system of equations lo...

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  20. Let f(x)=(x(1-x))^(2), the sum of f(1/2019)-f(2/2019)+f(3/2019)-f(4/20...

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