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sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)...

`sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)`

A

no solution

B

one solution

C

two solution

D

more than two solutions

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The correct Answer is:
A
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
  1. The number of real soltuions of the equation 2^(3x^(2)-7x+4)=1 is :

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  2. Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=...

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  3. sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

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  4. If alpha,beta are the roots of the equation 8x^2-3x+27=0, then the val...

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  5. The value of a for which the quadratic equation 3x^(2) + 2a^(2) + 1x...

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  6. The difference of maximum values of the expressions (6 + 5x - x^(2)) ...

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  7. If sintheta and costheta are roots of equation ax^(2) + bx + c =0, the...

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  8. The equation 3^(x-1)+5^(x-1)=34 has

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  9. If x=(sqrt(3)+1)/(sqrt3-1)andy=(sqrt3-1)/(sqrt3+1),"then "x^(2)+y^(2) ...

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  10. The values of the parameter a for which the quadratic equations (1 – 2...

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  11. The integer k for which the inequality x^2 - 2 (4k -1) x+ 15 k^...

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  12. The values of a for which the equation 2x^(2) -2(2a+1) x+a(a+1) = 0 ma...

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  13. The condition that x^(3)-ax^(2)+bx-c=0 may have two of its roots equal...

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  14. If the roots of ax^(2) + bx + c = 0 (a gt 0) be each greater than unit...

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  15. The number of real solutions of x-1/(x^2-4)=2-1/(x^2-4) is equal to

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  16. The number of real solutions of equation 2^(x/2)+(sqrt2+1)^x=(5+2sqrt2...

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  17. If x y=2(x+y),xlt=ya n dx ,y in N , then the number of solutions of t...

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  18. The quadratic equation ax^(2)+bx+c=0 has real roots if:

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  19. The equation |x+1||x-1|=a^(2) - 2a - 3 can have real solutions for x, ...

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  20. p, q, r in R and k is a prime number such that p+qk^(1//3)+rk^(2//3)=0...

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