Consider the following statement.A : Product of roots of a quadratic e

1.	Consider the following statement.A : Product of roots of a quadratic equation is 21 if one root is (5 + 2i).B : Remainder when 523 is divided by 17 is 11.C : Sum of fraction (11/7) and its reciprocal is (160/77).Which of the above statement is/are correct?1. Only A and B2. All A, B and C3. None4. Only B and C
Answer» Correct Answer - Option 3 : None GIVEN: Three statements. CALCULATION: A: One root = (5 + 2i) We know that complex root always exists in pair. Another root = (5 – 2i) Product of roots = (5 + 2i) (5 – 2i) = (5)² – (2i)² = 25 – 4i² = 25 + 4 = 29 B: 523 = 30 × 17 + 13 Remainder when 523 is divided by 17 = 13 C: Sum of fraction (11/7) and its reciprocal = (11/7) + (7/11) = (121 + 49)/77 = 170/49 Hence, none are TRUE.

Consider the following statement.A : Product of roots of a quadratic equation is 21 if one root is (5 + 2i).B : Remainder when 523 is divided by 17 is 11.C : Sum of fraction (11/7) and its reciprocal is (160/77).Which of the above statement is/are correct?1. Only A and B2. All A, B and C3. None4. Only B and C

Answer» Correct Answer - Option 3 : None

GIVEN:

Three statements.

CALCULATION:

One root = (5 + 2i)

We know that complex root always exists in pair.

Another root = (5 – 2i)

Product of roots = (5 + 2i) (5 – 2i) = (5)² – (2i)² = 25 – 4i² = 25 + 4 = 29

523 = 30 × 17 + 13

Remainder when 523 is divided by 17 = 13

Sum of fraction (11/7) and its reciprocal = (11/7) + (7/11)

= (121 + 49)/77

= 170/49

Hence, none are TRUE.

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