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solving the following equations : (i) ...

solving the following equations :
(i) `|x-3| = x-1`
(ii) `|x^(2)-3x|=2x-6`
(iii) `|x-4|+|x-7| = 11`

Text Solution

Verified by Experts

The correct Answer is:
(i) `x = 2`
(ii) `x = 3`
(iii) `x= 0, 11`
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RESONANCE-DPP-QUESTION
  1. Solve : (|x-3|)/(x^(2)-5x+6) gt 2

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  2. Solve : |x| - |x-2| ge 1

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  3. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

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  4. If (1)/(|a|)gt 1/b, then |a| le b, where a & b are non-zero real numbe...

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  5. Solve the folowing equations |x|+2|x-6|=12

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  6. ||x+3|-5|=2

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  7. |||x-2|-2|-2|=2

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  8. If sum(n=1)^(2013)tan(theta/(2^(n)))sec((theta)/(2^(n-1))) = tan((thet...

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  9. The minimum value of the expression |x-p+|x-15|+|x-p-15| for ' x ' in ...

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  10. If the graph of the function y = f(x) is as shown : The graph of ...

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  11. If A, B, C, D be the angles of a quadrilateral, prove that : (tanA+tan...

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  12. If the sum of n term of the series (5)/(1.2.3) + (6)/(2.3.4) + ( 7)/(3...

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  13. If the 8th term of an A.P. is 31 and the 15th term is 16 more than ...

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  14. The coefficient of the quadratic equation a x^2+(a+d)x+(a+2d)=0 are co...

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  15. Let f(r) = sum(j=2)^(2008) (1)/(j^(r)) = (1)/(2^(r))+(1)/(3^(r))+"…."+...

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  16. If sinalphacosbeta = (-1)/(2), then find the range of value of cosalph...

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  17. -cos(A+B)cos(B-A) =

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  18. Find the value of xsqrt(6x^(4) + 4x^(2) + 2) gt -2x^(2) + 5x - 4

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  19. S = n xx 10^(6m) + n xx 10^(6m - 1) + n xx 10^(6m-2)+ "…." + nxx 10 + ...

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  20. Number of roots of (x^(2)+5x+7)(-x^(2)+3x-4) = 0

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