PGDBA 2022 Question Paper | Quant

PGDBA Previous Year Paper | PGDBA Quant Questions | Question 13

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 13 : A straight line segment \( A B \) of length \( p \) moves with its ends on the axes. Let \( C \) be a point on \( A B \) such that \( A C : B C = 1 : 3 \). Then the equation of the locus of \( C \) is

  1. \( 16 \left( 9 x ^ { 2 } + y ^ { 2 } \right) = p ^ { 2 } \)
  2. \( 16 \left( x ^ { 2 } + 9 y ^ { 2 } \right) = 9 p ^ { 2 } \)
  3. \( 16 \left( x ^ { 2 } + y ^ { 2 } \right) = 9 p ^ { 2 } \)
  4. \( 16 \left( 9 x ^ { 2 } + y ^ { 2 } \right) = 9 p ^ { 2 } \)

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Explanatory Answer

Text Explanation will be transcribed soon...


The question is " A straight line segment \( A B \) of length \( p \) moves with its ends on the axes. Let \( C \) be a point on \( A B \) such that \( A C : B C = 1 : 3 \). Then the equation of the locus of \( C \) is "

Hence, the answer is '\( 16 \left( 9 x ^ { 2 } + y ^ { 2 } \right) = 9 p ^ { 2 } \)'

Choice D is the correct answer.

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