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Let S be the region bounded by the curves y = x3 and y2 = x. The curve y = 2|x| divides S into two regions of areas R1 and R2.
If max {R1, R2} = R2, then R2/R is equal to ______.
If max {R1, R2} = R2, then R2/R
(in integer)
Correct answer is '19'. Can you explain this answer?
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Most Upvoted Answer
Let S be the region bounded by the curves y = x3and y2= x. The curve y...
Understanding the Problem:
The given region S is bounded by the curves y = x^3 and y^2 = x. The curve y = 2|x| divides S into two regions R1 and R2.
Finding the Areas:
1. To find the areas R1 and R2, we first need to determine the points of intersection of the curves y = x^3 and y^2 = x.
2. Solving the equations x^3 = x and (x^3)^2 = x, we get x = 0 and x = 1 as the points of intersection.
3. Integrating y = x^3 and y^2 = x between x = 0 and x = 1, we find the areas R1 and R2.
Determining the Maximum Area:
1. We calculate the areas R1 and R2 to find the maximum value among them.
2. If max {R1, R2} = R2, then R2/R = 1 (since R = R1 + R2).
Calculating R2/R:
1. As we found earlier, R2/R = 1.
2. Hence, the ratio R2/R is equal to 1, which is an integer.
Therefore, the correct answer is '1', which can be represented as '1' in integer form.
The given region S is bounded by the curves y = x^3 and y^2 = x. The curve y = 2|x| divides S into two regions R1 and R2.
Finding the Areas:
1. To find the areas R1 and R2, we first need to determine the points of intersection of the curves y = x^3 and y^2 = x.
2. Solving the equations x^3 = x and (x^3)^2 = x, we get x = 0 and x = 1 as the points of intersection.
3. Integrating y = x^3 and y^2 = x between x = 0 and x = 1, we find the areas R1 and R2.
Determining the Maximum Area:
1. We calculate the areas R1 and R2 to find the maximum value among them.
2. If max {R1, R2} = R2, then R2/R = 1 (since R = R1 + R2).
Calculating R2/R:
1. As we found earlier, R2/R = 1.
2. Hence, the ratio R2/R is equal to 1, which is an integer.
Therefore, the correct answer is '1', which can be represented as '1' in integer form.
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Community Answer
Let S be the region bounded by the curves y = x3and y2= x. The curve y...
C1 : y = x3
C2 : y2 = x
And C3 = y = 2|x|
C1 and C2 intersect at (1, 1).
C2 and C3 intersect at
.Clearly,
And R1 + R2 =
So,
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Let S be the region bounded by the curves y = x3and y2= x. The curve y = 2|x| divides S into two regions of areas R1and R2.If max {R1, R2} = R2, then R2/R is equal to ______.(in integer)Correct answer is '19'. Can you explain this answer?
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Let S be the region bounded by the curves y = x3and y2= x. The curve y = 2|x| divides S into two regions of areas R1and R2.If max {R1, R2} = R2, then R2/R is equal to ______.(in integer)Correct answer is '19'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let S be the region bounded by the curves y = x3and y2= x. The curve y = 2|x| divides S into two regions of areas R1and R2.If max {R1, R2} = R2, then R2/R is equal to ______.(in integer)Correct answer is '19'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let S be the region bounded by the curves y = x3and y2= x. The curve y = 2|x| divides S into two regions of areas R1and R2.If max {R1, R2} = R2, then R2/R is equal to ______.(in integer)Correct answer is '19'. Can you explain this answer?.
Let S be the region bounded by the curves y = x3and y2= x. The curve y = 2|x| divides S into two regions of areas R1and R2.If max {R1, R2} = R2, then R2/R is equal to ______.(in integer)Correct answer is '19'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let S be the region bounded by the curves y = x3and y2= x. The curve y = 2|x| divides S into two regions of areas R1and R2.If max {R1, R2} = R2, then R2/R is equal to ______.(in integer)Correct answer is '19'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let S be the region bounded by the curves y = x3and y2= x. The curve y = 2|x| divides S into two regions of areas R1and R2.If max {R1, R2} = R2, then R2/R is equal to ______.(in integer)Correct answer is '19'. Can you explain this answer?.
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