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If y= x+(1)/(x), x ne 0, then the equati...

If `y= x+(1)/(x), x ne 0`, then the equation `(x^(2)-3x+1)(x^(2)-5x+1)=6x` reduces to

A

`y^(2)-8y+7=0`

B

`y^(2)+8y+7=0`

C

`y^(2)-8y-9=0`

D

`y^(2)-8y+9=0`

Text Solution

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The correct Answer is:
D
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NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If alpha " and "beta are the distinct roots of ax^(2)+bx+c=0, where a,...

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  2. If the equations x^(2)+ax+bc=0 and x^(2)+bx+ca=0 have a common root an...

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  3. If y= x+(1)/(x), x ne 0, then the equation (x^(2)-3x+1)(x^(2)-5x+1)=6x...

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  4. Let x(1)" and "y(1) be real numbers. If z(1)" and "z(2) are complex nu...

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  5. Let z(1)" and "z(2) be complex numbers such that z(1)+ i(bar(z2))=0" a...

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  6. If z is a complex number such that z+|z|=8+ 12i, then the value of |z^...

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  7. The value of (1)/(i)+(1)/(i^2)+(1)/(i^3)+"……"+(1)/(i^(102) is equal to

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  8. Let the complex numbers z(1),z(2),z(3)" and "z(4) denote the vertices ...

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  9. The quadratic equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 has equal ro...

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  10. Let alpha" and "beta be the roots of the equation px^(2)+qx+r=0. If p,...

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  11. If the roots of the equation x^(2)+px+c=0 are 2,-2 and the roots of th...

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  12. If a is a root of the equation x^(2)-3x+1=0, then the value of (a^3)/(...

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  13. If the sum of the roots of the equation (a+1)x^(2)+(2a+3)x+(3a+4)=0, i...

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  14. The product of the roots of the equation x|x|-5x-6=0 is equal to

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  15. If z=((sqrt(3)+i)^(3)(3i+ 4)^(2))/((8+6i)^(2)), then |z| is equal to

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  16. Let w ne pm 1 be a complex number. If |w|=1" and "z=(w-1)/(w+1), then ...

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  17. If z= e^((2pi i)/(3)), then 1+z+3z^(2)+2z^(3)+2z^(4)+3z^(5) is equal t...

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  18. If z(1)= 2sqrt(2)(1+i)" and "z(2)=1+isqrt(3), then z(1)^(2)z(2)^(3) is...

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  19. If the complex numbers z(1), z(2)" and "z(3) denote the vertices of an...

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  20. If the roots of x^(2)-ax+b=0 are two consecutive odd integers, then a^...

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