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The equation sqrt(x+3-4sqrt(x-1))+sqrt(x...

The equation `sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=` hs

A

no solution

B

exactly one solution

C

exactly two solutions

D

more than two solutions

Text Solution

Verified by Experts

The correct Answer is:
D
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MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Exercise ( Level 1 (single correct answer type questions))
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  2. If alpha and beta be the roots of the eqution x^(2) +px -1/ (2p^(2))...

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  3. The equation sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))= hs

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  4. The equation [ x - x^(2) - 1| = |2 x - 3 - x^(2) ] has

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  5. If sin alpha, cos alpha are the roots of the equation ax^(2) + bx + c ...

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  6. If x is real and k=(x^2-x+1)/(x2+x+1) , then k in [1//3,3] (b) kgeq3 ...

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  7. If the equation x^(2) + bx + ca = 0 and x^(2) + cx + ab = 0 have a com...

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  8. If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...

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  9. Suppose, a, b, c are three distinct real numbers. Let P (x) =((x-b)(x-...

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  10. If ax^(2) + bx + c, a, b, c in R, a ne 0 has real zero and a - b + c l...

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  11. If alpha, beta are the roots of the equation x^(2)-2x-a^(2)+1=0 and ga...

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  12. If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and a...

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  13. The quadratic equation x^(2) + 7x = 14 (q^(2) + 1) , where q is an int...

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  14. Let a,b,c in R and a gt 0. If the quadratic equation ax^(2) +bx +c=...

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  15. Let a,b,c in R and a ne 0 be such that (a + c)^(2) lt b^(2) ,the...

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  16. The integral values of a for which the quadratic equation (x - a) (x -...

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  17. The number of real solution fo 4^(x + 1.5) + 9^(x + 0.5) = (10)/ (6^(x...

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  18. Number of solutions to the equation 2^(sin^2 x) +5.2^(cos^2 x) = 7, in...

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  19. The number of values of k for which the equation x^(2) - 2x + k = 0 ha...

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  20. If roots of the equation ax^2 + bx + c = 0 are alpha/(alpha-1) and (a...

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