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Black Advanced Problems in Mathematics
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Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

If a root of the equation a_1x^2 + b_1x + c_1 = 0 is the reciprocal...

If a root of the equation a1x2+b1x+c1=0a_1x^2 + b_1x + c_1 = 0 is the reciprocal of a root of the equation a2x2+b2x+c2=0a_2x^2 + b_2x + c_2 = 0, then :

Options

  1. A(a1a2−c1c2)2=(a1b2−b1c2)(a2b1−b2c1)(a_1a_2 - c_1c_2)^2 = (a_1b_2 - b_1c_2)(a_2b_1 - b_2c_1)
  2. B(a1a2−b1b2)2=(a1b2−b1c2)(a2b1−b2c1)(a_1a_2 - b_1b_2)^2 = (a_1b_2 - b_1c_2)(a_2b_1 - b_2c_1)
  3. C(b1c2−b2c1)2=(a1b2−b1c2)(a2b1+b2c1)(b_1c_2 - b_2c_1)^2 = (a_1b_2 - b_1c_2)(a_2b_1 + b_2c_1)
  4. D(b1c2−b2c1)2=(a1b2+b1c2)(a2b1+b2c1)(b_1c_2 - b_2c_1)^2 = (a_1b_2 + b_1c_2)(a_2b_1 + b_2c_1).

Correct answer

A. (a1a2−c1c2)2=(a1b2−b1c2)(a2b1−b2c1)(a_1a_2 - c_1c_2)^2 = (a_1b_2 - b_1c_2)(a_2b_1 - b_2c_1)

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