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Solve the following equations : (i) |x...

Solve the following equations :
(i) `|x-2| = sqrt(x-4)` , (ii) `(|x-2|)/(x-1) = 1/(x-1)`

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The correct Answer is:
(i) `x in phi`
(ii) `x = 3`
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RESONANCE-DPP-QUESTION
  1. Find the sum of the last 30 coefficients in the expansion of (1+x)^(59...

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  2. Coefficient of x^(48) in sum(r=0)^(50)""^(50)C(r).(x-2)^(x).3^(50-r) i...

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  3. Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)...

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  4. |x^(2)-4x+4|ge 1

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  5. Solve the following inequation (i) (3)/(x-2) lt 1 , (ii) (2x-1)/(x^(...

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  6. If sum(i=1)^(7) i^(2)x(i) = 1 and sum(i=1)^(7)(i+1)^(2) x(i) = 12 and ...

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  7. Circles with centres P,Q& S are touching each other externally as show...

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  8. The value of (P-Q) is equal to

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  9. The value of (P-R) is equal to

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  10. The value of (Q+R) is equal to

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  11. The sum sum(r=0)^(n) (r+1)C(r)^(2) is equal to :

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  12. In the binomial expansion of (a-b)^nngeq5, the sum of the 5th and 6th ...

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  13. Let P=sum(r=1)^50 (^(50+r)Cr(2r-1))/(^50Cr(50+r)),Q=sum(r=0)^50(^50Cr)...

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  14. Let P = sum(r=1)^(50)(""^(50+r)C(r)(2r-1))/(""^(50)C(r)(50+r)), Q = su...

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  15. Let P=sum(r=1)^50 (^(50+r)Cr(2r-1))/(^50Cr(50+r)),Q=sum(r=0)^50(^50Cr)...

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  16. If sum(r=0)^(n) (-1)^(r ).""^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(2r))+(7^(...

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  17. Find the degree of the polynomial 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^7-...

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  18. The figure shows a rectangle ABCD with a semi-circle and a circle insc...

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  19. If sum(r=0)^(2n) a(r)(x-1)^(r) = sum(r=0)^(2n) b(r)(x-2)^(r) and b(r) ...

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  20. p is a prime number and n<p<2ndot If N=^(2n)Cn , then p dividesN b. p...

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