engineering mathematics MCQ #4318

If the roots of the equation x² + px + q = 0 are tan30° and tan15°, then the value of 2 + q - p is

engineering mathematics MCQ #4318

  1. Question 1

    Q1. If the roots of the equation x² + px + q = 0 are tan30° and tan15°, then the value of 2 + q - p is

    • A) 3
    • B) 2
    • C) 1
    • D) 0

    Answer: 3

    Explanation: Using the sum and product of roots, p = -(tan30° + tan15°) and q = tan30°*tan15°. Simplifying 2 + q - p gives 3.