Multiple choice

Match the following columns: Quadratic Equation Relation Between Roots 1. m2 - 9m + 20 = 0 A. The difference between the two roots is 26. 2. n2 + 7n + 10 = 0 B. If we add both the roots, the sum is 9. 3. p2 + 6p - 160 = 0 C. The product of both the roots is 10.

  1. 1 - A, 2 - B, 3 - C

  2. 1 - B, 2 - C, 3 - A

  3. 1 - A, 2 - C, 3 - B

  4. 1 - B, 2 - A, 3 - C

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

1: m^2-9m+20=0 -> roots 4, 5. Sum=9 (B). 2: n^2+7n+10=0 -> roots -2, -5. Product=10 (C). 3: p^2+6p-160=0 -> roots 10, -16. Difference=26 (A). Matches 1-B, 2-C, 3-A.

AI explanation

For equation 1, m2 - 9m + 20 = 0, the sum of the roots is 9, which matches relation B. For equation 2, n2 + 7n + 10 = 0, the product of the roots is 10, matching relation C. For equation 3, p2 + 6p - 160 = 0, the roots are 10 and -16, and their difference is 26, matching relation A. Therefore, the correct matching is 1 - B, 2 - C, 3 - A.

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