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The sum of all the integral values of a ...

The sum of all the integral values of a {where `a in (-10, 10)}` such that the graph of the function `f(x)=||x-2|-a|-3` has exastly three x-intercepts is

A

`10`

B

`5`

C

`3`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
C
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RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
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  2. For making graph of equations |y|=|f(|x|)| through y=f(x) which order ...

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  3. The sum of all the integral values of a {where a in (-10, 10)} such th...

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  4. Complete set of solution of inequation (3)/(sqrt(2-x))-sqrt(2-x) lt 2 ...

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  5. Complete set of solution of inequation sqrt(3x^2+5x+7)-sqrt(3x^2+5x+2)...

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  6. Complete set of solution of inequation sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt...

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  7. If loga a. logc a +logc b. loga b + loga c. logb c=3 (where a, b, c ar...

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  8. Let alpha,beta, are two real solution of equation (log(10)x)^2 + log(1...

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  9. Let a, b, c, d are positive integer such that log(a)b=3//2 and log(c)d...

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  10. The range of real values of 'p' for which the equation 2log3^2 x-|log...

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  11. If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - log2(x+1) then complete set of v...

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  12. The least positive integer x, which satisfies the inequality log(log(x...

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  13. Complete set of solution of equation (log(0.3)(x-2))/(|x|) >= 0

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  14. The solution set of the inequality |9^x-3^(x+1) + 15| < 2.9^x - 3^x i...

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  15. The complete set of values of x satisfying the equation x^2. 2^(x+1)+...

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  16. If f(x)={x}+{x+[(x)/(1+x^(2))]}+{x+[(x)/(1+2x^(2))]}+{x+[(x)/(1+3x^(2)...

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  17. The number of solution of the equation sgn({x})=|1-x| is/are (where {*...

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  18. The complete set of solution of Inequality (x^2-5 x+6 sgn(x))/(x sgn(x...

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  19. (1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3...

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  20. If (m + 2) sintheta + (2m-1) costheta = 2m+1, then

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