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Let the curve C be the mirror image of the parabola y2 = 4x with respect to the line x + y + 4 = 0. If A and B
are the points of intersection of C with the line y = -5, then the distance between A and B is
are the points of intersection of C with the line y = -5, then the distance between A and B is
Correct answer is '4'. Can you explain this answer?
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Most Upvoted Answer
Let the curve C be the mirror image of the parabola y2 = 4x with respe...
Image of y = –5 about the line x + y + 4 = 0 is x = 1
Distance AB = 4
Distance AB = 4Free Test
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Community Answer
Let the curve C be the mirror image of the parabola y2 = 4x with respe...
Understanding the Problem:
The given problem involves finding the distance between the points of intersection of a parabola and a line.
Identifying the Curve:
The curve C is the mirror image of the parabola y^2 = 4x with respect to the line x + y + 4 = 0.
Finding the Points of Intersection:
To find the points A and B of intersection of C with the line y = -5, we substitute y = -5 into the equation of the mirror image of the parabola.
Calculating the Points of Intersection:
Substituting y = -5 into y^2 = 4x, we get:
(-5)^2 = 4x
25 = 4x
x = 25/4
Therefore, the points of intersection A and B are (25/4, -5) and (25/4, -5).
Calculating the Distance between A and B:
To find the distance between A and B, we use the distance formula:
Distance = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Distance = sqrt[(25/4 - 25/4)^2 + (-5 - (-5))^2]
Distance = sqrt[0 + 0]
Distance = sqrt(0)
Distance = 0
Therefore, the distance between the points A and B is 0, not 4 as mentioned in the question.
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Let the curve C be the mirror image of the parabola y2 = 4x with respect to the line x + y + 4 = 0. If A and Bare the points of intersection of C with the line y = -5, then the distance between A and B isCorrect answer is '4'. Can you explain this answer?
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Let the curve C be the mirror image of the parabola y2 = 4x with respect to the line x + y + 4 = 0. If A and Bare the points of intersection of C with the line y = -5, then the distance between A and B isCorrect answer is '4'. 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 the curve C be the mirror image of the parabola y2 = 4x with respect to the line x + y + 4 = 0. If A and Bare the points of intersection of C with the line y = -5, then the distance between A and B isCorrect answer is '4'. 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 the curve C be the mirror image of the parabola y2 = 4x with respect to the line x + y + 4 = 0. If A and Bare the points of intersection of C with the line y = -5, then the distance between A and B isCorrect answer is '4'. Can you explain this answer?.
Let the curve C be the mirror image of the parabola y2 = 4x with respect to the line x + y + 4 = 0. If A and Bare the points of intersection of C with the line y = -5, then the distance between A and B isCorrect answer is '4'. 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 the curve C be the mirror image of the parabola y2 = 4x with respect to the line x + y + 4 = 0. If A and Bare the points of intersection of C with the line y = -5, then the distance between A and B isCorrect answer is '4'. 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 the curve C be the mirror image of the parabola y2 = 4x with respect to the line x + y + 4 = 0. If A and Bare the points of intersection of C with the line y = -5, then the distance between A and B isCorrect answer is '4'. Can you explain this answer?.
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Let the curve C be the mirror image of the parabola y2 = 4x with respect to the line x + y + 4 = 0. If A and Bare the points of intersection of C with the line y = -5, then the distance between A and B isCorrect answer is '4'. Can you explain this answer?, a detailed solution for Let the curve C be the mirror image of the parabola y2 = 4x with respect to the line x + y + 4 = 0. If A and Bare the points of intersection of C with the line y = -5, then the distance between A and B isCorrect answer is '4'. Can you explain this answer? has been provided alongside types of Let the curve C be the mirror image of the parabola y2 = 4x with respect to the line x + y + 4 = 0. If A and Bare the points of intersection of C with the line y = -5, then the distance between A and B isCorrect answer is '4'. Can you explain this answer? theory, EduRev gives you an
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