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If x=(sqrt(3)+1)/(sqrt3-1)andy=(sqrt3-1)...

If `x=(sqrt(3)+1)/(sqrt3-1)andy=(sqrt3-1)/(sqrt3+1),"then "x^(2)+y^(2)` is equal to

A

0

B

1

C

2

D

both (a) and (c)

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The correct Answer is:
D
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ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 1)
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  2. The equation 3^(x-1)+5^(x-1)=34 has

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

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

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

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

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

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

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

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

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

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

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

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  14. 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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  15. The set of values of p for which the expression x^(2) −2px+3p+4...

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  16. For a<0, deterine all real roots of the equation x^2-2a|x-a|-3a^2=0.

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  17. The average of five consecutive even numbers is 40. What is the smalle...

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  18. Solve : (5+2sqrt6)^(x^(2)-3) +(5-2sqrt6)^(x^(2)-3) = 10

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  19. If a, b in {1, 2, 3, 4}, then the number of quadratic equations of the...

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  20. The minimum value of the expression a+(1)/(a), a gt0 is :

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