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Which of the following equations has two...

Which of the following equations has two distinct real roots?

A

`2x^2 - 3 sqrt2 x+ 9/4=0`

B

`x^2 + x-5 =0`

C

`x^2 +3x +2sqrt2 =0`

D

`5x^2 -3x +1 =0`

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AGRAWAL PUBLICATION-QUADRATIC EQUATIONS-EXAMPLE
  1. Which of the following equations has two distinct real roots?

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  2. (x^(2)+1)^(2)-x^(2)=0 has (i) four real roots (ii) two real roots ...

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  3. Fill in the blanks The quadratic equation 2x^2 +px 3=0 has two equal r...

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  4. Fill in the blanks Equation ax^2 +bx + c = 0 represents a quadratic eq...

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  5. Fill in the blanks Sum of roots of quadratic equation x^2 -4x +2 0 is ...

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  6. Fill in the blanks The quadratic equation 2x^2 +x+ 4 has ………….real roo...

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  7. Fill in the blanks The roots of x + 1/x =2 are …………….

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  8. Fill in the blanks The sum of the roots of the quadratic equation 2x^2...

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  9. Find the values of 'k' for which x=2 is a solution of the equation kx^...

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  10. Find the value/s of k for which the quadratic equation 3x^2 + kx + 3 ...

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  11. Find the values of k for which the quadratic equation 4x^2 -12x -k=0 h...

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  12. Find the nature of the roots of the quadratic equation 2x^2 -4x +3=0.

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  13. is 0.2 a root of the equation x^2 -0.4 =? justify

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  14. For what vkues of k, the roots of the equation x^2 + 4x + k =0 are rea...

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  15. If x=2 and m=3, the equation is 3x^2 - 2kx +2m =0, find k.

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  16. if one root of the quadratic equation 6x^2 -x-k=0 is 2/3, then find th...

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  17. For what value of 'a' does the quadratic equation x^2 -ax +1=0 not hav...

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  18. if x=3 is one root of the quadratic equation 1x62- 2kx-6=0, then find ...

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  19. Find the value of k for which the roots of the quadratic equation 2x^2...

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  20. For what positive values of k, does the quadratic equation 3x^2 -kx +3...

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