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I. 4x^(2) - 20x+ 19 = 4x - 1 II. 2y^...

I. ` 4x^(2) - 20x+ 19 = 4x - 1`
II. ` 2y^(2) = 26y+ 84`

A

` x gt y`

B

` x lt y`

C

` x = y`

D

` x ge y`

Text Solution

Verified by Experts

The correct Answer is:
B
I. ` 4x^(2) - 24x+20 = 0`
` x^(2) - 6x + 5 = 0`
` x^(2) - 5x - x + 5 = 0`
` x(x-5)-1(x-5) = 0`
` (x-5)(x-1) = 0`
` x = 5, 1`
II. ` y^(2) - 13y+42 = 0`
` y^(2) - 7y-6y+42 = 0`
`y(y-7)-6(y-7) = 0`
` (y-7)(y-6) = 0`
` y = 7, 6`
Hence, ` y gt x`.
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IBPS & SBI PREVIOUS YEAR PAPER-EQUATIONS AND INEQUATIONS-MCQ
  1. I. 2x^(2) + 5x+1 = x^(2) + 2x - 1 II. 2y^(2) - 8y+1 =- 1

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  2. I. x^(2)/2 + x - 1/2 = 1 II. 3y^(2) - 10y + 8 = y^(2) + 2y - 10

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  3. I. 4x^(2) - 20x+ 19 = 4x - 1 II. 2y^(2) = 26y+ 84

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  4. I. y^(2) + y - 1 = 4 - 2y - y^(2) II. x^(2)/2 - 3/2 x = x - 3

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  5. I. 6x^(2) + 13x = 12 - x II. 1+2y^(2) = 2y + (5y)/ 6

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  6. What is the value of m which satisfies 3m^(2) - 21 m + 30 lt 0?

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  7. If one root of x^(2) + px+12 = 0 is 4, while the equation x ^(2)...

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  8. Let p and q be the roots of the quadratic equation x^(2) - (alpha - ...

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  9. If the roots, x(1) and x(2), of the quadratic equation x^(2) - 2x + ...

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  10. If the sum of a number and its square is 182, what is the number? a...

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  11. I. 4x^(2) - 32 x + 63 = 0" " II. 2y^(2) - 11y + 15 = ...

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  12. I. x^(3) = (root(3)(216))^(3)" " II.6y^(2) = 150

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  13. I. 12x^(2) + 17x+ 6 = 0" " II. 6y^(2) + 5y + 1 = ...

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  14. I. 20x^(2) + 9x+1 = 0" " II. 30y^(2) + 11y + 1= 0

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  15. I. x^(2) + 17x+72 = 0" " II. y^(2) + 19y + 90 = 0

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  16. I. 20x^(2) - x - 12 = 0 II. 20y^(2) + 27y + 9 = 0

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  17. I. x^(32) - 218 = 106 II. y^(2) - 37y+342 = 0

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  18. I. 7/sqrtx + 5/sqrtx = sqrtx II. y^(2) -((12)^(5//2))/sqrty = 0

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  19. I. sqrt(361x) + sqrt(16) = 0 II. sqrt(441) y + 4 = 0

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  20. In a family, a couple has a son and daughter. The age of the father ...

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