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MMLU-Pro / 7839 / The circle 2x²=−2y²+12x−4y+20 is inscribed inside a square which has…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

The circle 2x2=−2y2+12x−4y+202x^2 = -2y^2 + 12x - 4y + 20 is inscribed inside a square which has a pair of sides parallel to the x-axis. What is the area of the square?
Plain-text mathematical notation (without MathML)
The circle 2x²=−2y²+12x−4y+20 is inscribed inside a square which has a pair of sides parallel to the x-axis. What is the area of the square?
Original LaTeX notation
The circle $2x^2 = -2y^2 + 12x - 4y + 20$ is inscribed inside a square which has a pair of sides parallel to the x-axis. What is the area of the square?

category

math

options

  1. 60
  2. 160
  3. 2\sqrt{20}
  4. 10\sqrt{20}
  5. 4\sqrt{20}
  6. \sqrt{20}
  7. 80
  8. 40
  9. 20
  10. 100

src

ori_mmlu-high_school_mathematics

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Source and history

upstream_id / Original problem ID
7839
task_id
b353585f-aeef-50cd-81b5-0582935241e8
task_key
default--test--7839
task_revision_id
1
config / split
default / test

Official source

initial import