PGDBA 2022 Question Paper | Quant

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 24 : If the line \( \frac { x } { a } + \frac { y } { b } = 1 \) is a tangent to the curve \( x ^ { \frac { 2 } { 3 } } + y ^ { \frac { 2 } { 3 } } = 1 \), then which of the following is TRUE?

Video Explanation

Explanatory Answer

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The question is " If the line \( \frac { x } { a } + \frac { y } { b } = 1 \) is a tangent to the curve \( x ^ { \frac { 2 } { 3 } } + y ^ { \frac { 2 } { 3 } } = 1 \), then which of the following is TRUE? "

Hence, the answer is '\( a ^ { 2 } + b ^ { 2 } = 1 \)'

Choice B is the correct answer.

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