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The number of roots of the equation sqrt...

The number of roots of the equation `sqrt(x^2-4) -(x- 2) = sqrt(x^2 - 5x +6)` is

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
D
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MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Exercise ( Level 1 (single correct answer type questions))
  1. Two non-integer roots of (x^(2) - 5x)^(2) - 7 (x^(2) - 5x) + 6 = 0 are

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  2. The number of real roots of ((x - 1)/( x + 1))^(4) - 13 ((x - 1)/( x +...

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  3. The number of negative roots of 9^(x +2) - 6 (3^(x +1)) + 1 = 0 is

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  4. The number of roots of 81 ((2x - 5)/( 3x +1))^(4) - 45 ((2x - 5)/(3x ...

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  5. (x^2+3x+2)^2 - 8(x^2+3x) -4 =0

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  6. The number of roots of the equation sqrt((x)/(x - 3)) + sqrt((x - 3)/(...

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  7. 4(x-1/x)^2+8(x+1/x)=29 is

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  8. Irrational roots of the equaiton 2x^(4) + 9x^(3) + 8x^(2) + 9x + 2 = 0...

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  9. Sum of the roots of the equaiton 4 (x - (1)/(x))^(2) - 4 (x - (1)/(x)...

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  10. The number of irrational roots of the equation (x-1) (x-2) (3x-2) (...

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  11. Product of roots of the equation x - sqrt(3 x - 6) = 2 is

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  12. Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0 (b) 1 (c) 2 (...

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  13. Product of roots of the equation sqrt(13 - x^(2)) = x + 5 is

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  14. The number of roots of the equation sqrt(x^2-4) -(x- 2) = sqrt(x^2 - 5...

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  15. The product of the roots of the equaiton sqrt(x^(2) - 4x + 3 ) + sqrt...

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  16. Suppose a and b satisfy the equations 18 a^(2) + 77 a + 2 = 0 and 2b^(...

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  17. Suppose alpha, beta are roots of x^(2)-7x+8=0, with alpha gt beta, the...

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  18. If alpha is a root of x^(4) + x^(2) - 1 = 0 , the value of (alpha^(6)...

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  19. Sum and product of all the roots of the equation (x^(2)-x-1)(x^(2)-x-2...

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  20. Suppose three distinct non-zero real numbers satisfy a^(2) (a + k) = b...

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