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Find quadratic equation such that its ro...

Find quadratic equation such that its roots are square of sum of the roots and square of difference of the roots of equation `2x^(2)+2(p+q)x+p^(2)+q^(2)=0`

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The correct Answer is:
`x^(2)-4pqx-(p^(2)-q^(2))^(2)=0`
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CHETAN PUBLICATION-QUADRATIC EQUATIONS-PROBLEM SET 2
  1. Two roots of quadratic equations are given, frame the equation. 0 an...

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  2. The sum of two roots of a quadratic equation is 5 and the sum of their...

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  3. Find quadratic equation such that its roots are square of sum of the r...

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  4. The difference between the squares of two numbers is 120. The square o...

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  5. Mukund possesses RS 50 more than what Sagar possesses. The product of ...

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  6. Ranjana wants to distribute 540 oranges among some students. If 30 stu...

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  7. Mr. Dinesh owns an agricultural farm at village Talvel. The length of ...

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  8. A tank fills completely in 2 hours if both the taps are open. If only ...

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  9. Which one is the quadratic equation ?

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  10. Out of the following equations which one is not a quadratic equation ?

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  11. The roots of x^(2)+kx+k=0 are real and equal, find k.

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  12. Which of the following is the value of the discriminant for sqrt(2)x^...

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  13. Which of the following quadratic equations has roots 3,5 ?

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  14. Out of the following equations, find the equation having the sum of it...

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  15. sqrt(5)m^(2)-sqrt(5)m+sqrt(5)=0 which of the following statement is tr...

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  16. One of the roots of equation x^(2)+mx-5=0 is 2 find m.

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  17. The sum of roots (alpha+beta) = ……………… A)(-b)/a B)b/a C)(-c)/a D)c...

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  18. The roots of a quadratic equation y^(2)-16y+63=0 are ………….

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  19. If the roots of a quadratic equations are real and equal, then Delta m...

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  20. What is the value of k, If one root of the quadratic equation k x^2 - ...

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