PGDBA 2022 Question Paper | Quant

PGDBA Previous Year Paper | PGDBA Quant Questions | Question 20

CAT 2022 Quant was dominated by Arithmetic followed by Algebra. In Arithmetic, the questions were dominated by topics like Speed-time-distance, Mixture and Alligations. This year, there was a surprise. The questions from Geometry were relatively on the lower side as compared to the previous years. There were 8 TITA Qs this year. Overall this section was at a medium level of difficulty.

Question 20 : For what value of \( m \) will the equation \[ \frac { x ^ { 2 } - b x } { a x - c } = \frac { m - 1 } { m + 1 } \] have roots equal in magnitude but opposite in sign?

  1. \( \frac { a + b } { a - b } \)
  2. \( \frac { a - b } { a + b } \)
  3. \( \frac { a - c } { a + c } \)
  4. \( \frac { b - c } { b + c } \)

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Explanatory Answer

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The question is " For what value of \( m \) will the equation \[ \frac { x ^ { 2 } - b x } { a x - c } = \frac { m - 1 } { m + 1 } \] have roots equal in magnitude but opposite in sign? "

Hence, the answer is '\( \frac { a - b } { a + b } \)'

Choice B is the correct answer.

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