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The slope of a curve at any point is the reciprocal of twice the ordinate at the point and it passes through the point (4, 3). The equation of the curve is
  • a)
    x2 = y + 5
  • b)
    y2 = x − 5
  • c)
    y2 = x + 5
  • d)
    x2 = y − 5
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The slope of a curve at any point is the reciprocal of twice the ordin...
We have,
Slope = dy/dx ⇒ dy/dx = 1/2y ⇒ 2 y dy = dx
Integrating both sides, we get y2 = x + C This passes through (4, 3)
∴ 9 = 4 + C ⇒ C = 5
So, the equation of the curve is y2 = x + 5
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Most Upvoted Answer
The slope of a curve at any point is the reciprocal of twice the ordin...
We have,
Slope = dy/dx ⇒ dy/dx = 1/2y ⇒ 2 y dy = dx
Integrating both sides, we get y2 = x + C This passes through (4, 3)
∴ 9 = 4 + C ⇒ C = 5
So, the equation of the curve is y2 = x + 5
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The slope of a curve at any point is the reciprocal of twice the ordinate at the point and it passes through the point (4, 3). The equation of the curve isa)x2 = y + 5b)y2 = x − 5c)y2 = x + 5d)x2 = y − 5Correct answer is option 'A'. Can you explain this answer?
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The slope of a curve at any point is the reciprocal of twice the ordinate at the point and it passes through the point (4, 3). The equation of the curve isa)x2 = y + 5b)y2 = x − 5c)y2 = x + 5d)x2 = y − 5Correct answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about The slope of a curve at any point is the reciprocal of twice the ordinate at the point and it passes through the point (4, 3). The equation of the curve isa)x2 = y + 5b)y2 = x − 5c)y2 = x + 5d)x2 = y − 5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The slope of a curve at any point is the reciprocal of twice the ordinate at the point and it passes through the point (4, 3). The equation of the curve isa)x2 = y + 5b)y2 = x − 5c)y2 = x + 5d)x2 = y − 5Correct answer is option 'A'. Can you explain this answer?.
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