PGDBA 2022 Question Paper | Quant

PGDBA Previous Year Paper | PGDBA Quant Questions | Question 6

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 6 : If a circle passes through the points of intersection of the coordinate axes with the lines \( x - \lambda y + 1 = 0 \) and \( x - 2 y + 3 = 0 \), then \( \lambda \) equals

  1. \( \frac { 4 } { 3 } \quad \) or \( \quad \frac { 1 } { 3 } \)
  2. \( \frac { 3 } { 4 } \) or \( \quad \frac { 1 } { 3 } \)
  3. \( \frac { 2 } { 3 } \quad \) or \( \quad \frac { 1 } { 2 } \)
  4. \( \frac { 3 } { 2 } \quad \) or \( \quad \frac { 1 } { 2 } \)

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The question is " If a circle passes through the points of intersection of the coordinate axes with the lines \( x - \lambda y + 1 = 0 \) and \( x - 2 y + 3 = 0 \), then \( \lambda \) equals "

Hence, the answer is '\( \frac { 2 } { 3 } \quad \) or \( \quad \frac { 1 } { 2 } \)'

Choice C is the correct answer.

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