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Total number of solutions of the equatio...

Total number of solutions of the equation `x² -4-[x]=0` are (where (.) denotes the greatest integer function)

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
B
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MOTION-FUNCTION-Exercise - 1 ( JEE Main)
  1. Total number of solution of 2^(cosx)=abs(sinx)"in"[ -2pi,5pi] is equa...

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  2. The sum of [1/2]+[1/2+1/(2000)]+[1/2+2/(2000)]+[1/2+3/(2000)]++[1/2+(1...

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  3. Total number of solutions of the equation x² -4-[x]=0 are (where (.) d...

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  4. Given that y=2[x]+3 and y=3[x-2]+5 then find the value of [x+y]

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  5. How many roots does the following equation possess 3^(|x|)(|2-|x||)=1?

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  6. Let A={p,q,r} and B={1,2}. Represent (i) A x B (ii) B x B

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  7. If A={-3,3), form the set A x A x A

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  8. The function f:xtoY defined by f(x)=x^(2)-4x+5 is both one-one and ont...

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  9. Let f: RrarrR be a function defined by f(x)=(2x^2-x+5)/(7x^2+2x+10) th...

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  10. Let f :RrarrR be a function defined by f(x) = x^3 + x^2 + 3x + sin x. ...

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  11. If f(x) = (4a-7)/3 x^3+(a-3)x^2 +x+5 is one-one function

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  12. The function f : (-oo, 3] to (o,e ^(7)] defined by f (x)=e ^(x^(3)-3x^...

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  13. f : R -> R, where f(x)=(x^2+ax+1)/(x^2+x+1) Complete set of values of ...

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  14. The function f(x)=log((1+sinx)/(1-sinx)) is

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  15. It is given that f(x) is an even function and satisfy the relation f(x...

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  16. If the function / satisfies the relation f(x+y)+f(x-y)=2f(x),f(y)AAx ,...

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  17. Let f(x)=abs(x-1)+abs(x-2)+abs(x-3)+abs(x-4), then

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  18. Fundamental period of f(x)=sec(sin x) is

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  19. The period of sin(pi/4)x+cos(pi/2)x+cos(pi/3)x is

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  20. Let f(x)=x(2-x), 0<=x<=2. If the definition of f is extended over the ...

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