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The number of points (x, y), where the c...

The number of points (x, y), where the curves |y| = In|x| and `(x-1)^2+y^2-4=0` cut each other, is

A

2

B

3

C

1

D

6

Text Solution

Verified by Experts

The correct Answer is:
B
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PATHFINDER-FUNCTION-QUESTION BANK
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  2. If f(x)=cos |x|+[|sin x/2|] (where [.] denotes the greatest integer fu...

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  3. The number of points (x, y), where the curves |y| = In|x| and (x-1)^2+...

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  4. Let f(x)=[1/2+n/100], where [.] denotes the greatest integer function,...

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  5. If y=sqrt(e^(sin^(-1)(log2x^2) , then y is real if

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  6. If [2sinx]+[cosx]=-3 then the range of the function f(x)=sinx+sqrt3cos...

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  7. If F(x+1)=(2F(x)+1)/2, n = 1,2,3…..and F(1) = 2 then F(101)

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  8. If f : R to R satisfies f(x + y)=f(x)+f(y) for all x, y in R and f(1)=...

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  9. If f(x+y,x-y)=xy then the arithmetic mean of f(y, x) & f(x,y)

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  10. f(x)=sqrt([sin2x]-[cos2x]) :[.]GIF, then range of f(x)

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  11. If f(x) = {(x^2, "for", x ge 0), (x, "for", x lt 0):} then fof(x) ...

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  12. Domain of f(x) is [-1, 2] then domain of f([x] - x^2 + 4) where [.] de...

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  13. Number of solution of the equation x^2 -2 -2[x] = 0 ([.] denotes the g...

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  14. Let Sn = underset (t = 1) overset n sum r!(n gt 6), then Sn - 7[Sn/7] ...

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  15. Range of f(x) = [1 + sin x] + [2 + sin fracx2] + [3 + sin frac x3] +.....

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  16. The number of solutions of log(sin x) 2^(tan x) gt 0 in the interval ...

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  17. If f(x) =ln ((x^2 + e)/(x^2 + 1)), then range of f(x) is

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  18. If f(x) = {x} + sin ax (where {.} denotes the fractional part function...

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  19. The value of a for which the range of the function f(x) = (x - 1)/(1 -...

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  20. If the graph of the function f(x) is symmetrical about two lines x = a...

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