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A circle is drawn with point (a, 0) and ((3, 0) as the end point of diameter. If a and p are roots of the equation x2 + |x| - 2, then maximum possible area of a square (in sq. units) which can be inscribed in a circle is:
Correct answer is '8'. Can you explain this answer?
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A circle is drawn with point (a, 0) and ((3, 0) as the end point of di...
Let, f(x) = x2 + |x| - 2
For x > 0, f(x) = x2 + x - 2
f(x) = (x + 2)(x - 1) Then root of f(x) for x > 0 will be, 1.
For x < 0, f(x) = x2 - x - 2
For x < 0, f(x) = x2 - x - 2
f{x) = (x - 2)(x + 1)
Then root of f(x) for x < 0 will be, -1.
Hence a = 1 or -1,
for max area os inscribed square, diameter should be max
Hence, diameter of the circle is = 3 - (- 1) = 4 units
Hence, diameter of the circle is = 3 - (- 1) = 4 units
Maximum area of the square which can be inscribed in a circle = Product of the diagonals/2 = (42)/2 = 8 sq. units
Most Upvoted Answer
A circle is drawn with point (a, 0) and ((3, 0) as the end point of di...
Let, f(x) = x2 + |x| - 2
For x > 0, f(x) = x2 + x - 2
f(x) = (x + 2)(x - 1) Then root of f(x) for x > 0 will be, 1.
For x < 0, f(x) = x2 - x - 2
For x < 0, f(x) = x2 - x - 2
f{x) = (x - 2)(x + 1)
Then root of f(x) for x < 0 will be, -1.
Hence a = 1 or -1,
for max area os inscribed square, diameter should be max
Hence, diameter of the circle is = 3 - (- 1) = 4 units
Hence, diameter of the circle is = 3 - (- 1) = 4 units
Maximum area of the square which can be inscribed in a circle = Product of the diagonals/2 = (42)/2 = 8 sq. units
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A circle is drawn with point (a, 0) and ((3, 0) as the end point of diameter. If a and p are roots of the equation x2 + |x| - 2, then maximum possible area of a square (in sq. units) which can be inscribed in a circle is:Correct answer is '8'. Can you explain this answer?
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A circle is drawn with point (a, 0) and ((3, 0) as the end point of diameter. If a and p are roots of the equation x2 + |x| - 2, then maximum possible area of a square (in sq. units) which can be inscribed in a circle is:Correct answer is '8'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A circle is drawn with point (a, 0) and ((3, 0) as the end point of diameter. If a and p are roots of the equation x2 + |x| - 2, then maximum possible area of a square (in sq. units) which can be inscribed in a circle is:Correct answer is '8'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circle is drawn with point (a, 0) and ((3, 0) as the end point of diameter. If a and p are roots of the equation x2 + |x| - 2, then maximum possible area of a square (in sq. units) which can be inscribed in a circle is:Correct answer is '8'. Can you explain this answer?.
A circle is drawn with point (a, 0) and ((3, 0) as the end point of diameter. If a and p are roots of the equation x2 + |x| - 2, then maximum possible area of a square (in sq. units) which can be inscribed in a circle is:Correct answer is '8'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A circle is drawn with point (a, 0) and ((3, 0) as the end point of diameter. If a and p are roots of the equation x2 + |x| - 2, then maximum possible area of a square (in sq. units) which can be inscribed in a circle is:Correct answer is '8'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circle is drawn with point (a, 0) and ((3, 0) as the end point of diameter. If a and p are roots of the equation x2 + |x| - 2, then maximum possible area of a square (in sq. units) which can be inscribed in a circle is:Correct answer is '8'. Can you explain this answer?.
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