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If x = a ^((1)/(2) ) + a ^((-1)/(2)) , y...

If `x = a ^((1)/(2) ) + a ^((-1)/(2)) , y = a ^((1)/(2) ) - a ^((-1)/(2))` then value of `(x ^(4) - x ^(2) y ^(2)- 1) + (y ^(4) - x ^(2) y ^(2) +1).`

A

16

B

13

C

12

D

14

Text Solution

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The correct Answer is:
A
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KIRAN PUBLICATION-ALGEBRA-Questions Asked In Previous SSC Exams (Type - II)
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  2. If a + b = 1. Find the value of a ^(3) + b ^(3) - ab - (a ^(2) - b ^(2...

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  3. If x = a ^((1)/(2) ) + a ^((-1)/(2)) , y = a ^((1)/(2) ) - a ^((-1)/(2...

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  4. If x ^(2) + y ^(2) + z ^(2) = xy + yz + zx, then the value of (3x ^(4...

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  5. If x - sqrt(3) - sqrt(2) = 0 and y - sqrt(3) + sqrt(2) = 0 then ...

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  6. If p ^(3) - q ^(3) = (p-q) { ( p - q ) ^(2) - xpq} then the value of x...

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  7. If a^(2) + a + 1= 0 then the value of a^(5) + a^(4) + 1 is

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  8. If x = a ( b - c) , y = b ( c - a) z = c ( a - b) then the value of...

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  9. If x = y = z " then " (( x + y + z)^(2))/( x^(2) + y^(2) + z^(2)) is ...

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  10. The simplified value of following is ((3)/(15) a^(5) b^(6) c^(3) ...

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  11. If (2 a - 1) ^(2) + ( 4b - 3) ^(2) + ( 4 c + 5) ^(2) = 0 then the v...

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  12. If 2 x + (2)/( x) = 3 then the value of x^(3) + (1)/( x^(3)) + 2 ...

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  13. If x =3sqrt( x^(2) + 11) - 2 , then the value of ( x^( 3) + 5 x ^(...

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  14. If x, y and z are real numbers such that ( x - 3) ^(2) + ( y - 4...

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  15. If ( x - 4) ( x^(2) + 4 x + 16 ) = x^(3) - p then p is equal to

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  16. The simplified value of (1- ( 2xy )/( x ^(2) + y ^(2))) div ((x ^(3)...

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  17. If a + b + c =0 then the value of (1)/((a + b ) (b + c)) + (1)/( (b ...

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  18. if x ^(2) + y ^(2) + 2x + 1 =0, then the value of x ^(32) + y ^(35) is

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  19. If x^(4)+2x^(3)+ax^(2)+bx+9 is a perfect square, where a and b are po...

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  20. If a ^(2) + b ^(2) + c ^(2) = 16, x ^(2) + y ^(2) + z^(2) = 25 and ax...

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