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Find the equation of a curve passing through the point (0,2) given that the sum of the coordinate of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5.
cbse
class12
modelpaper
2012
sec-b
q21
math
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asked
Jan 31, 2013
by
thanvigandhi_1
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Related questions
Find the equation of curve passing through the point(0,2) given that the sum of the coordinates of any point on the curve exceeds the magnitude of the slope of the tangent to the curve at that point by 5
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Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point ( x, y ) is equal to the sum of the coordinates of the point
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Dec 24, 2012
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answers
Find the equation of a curve passing through the point (0,-2) given that at any point (x,y) on the curve,the product of the slope of its tangent and y coordinate of the point is equal to the x coordinate of the point.
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Find the equation of curve passing through the origin given that the slope of the tangent to the curve at any point \((x,y)\) is equal to the sum of the coordinates of the point .
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Find the points on the curve \( y=x^3\) at which the slope of the tangent is equal to the y - coordinate of the point.
cbse
class12
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2012
sec-b
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asked
Feb 6, 2013
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1
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The slope of the tangent of any point on a curve is \( \lambda \) times the slope of the line joining the point of contact to the origin. Formulate the differential equation and hence find the equation of the curve.
cbse
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Find the equation of a curve passing through the point (1,1).If the tangent drawn at any point P(x,y) on the curve meets the coordinate axes at A and B such that P is the mid-point of AB.
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Jan 18, 2013
by
sreemathi.v
1
answer
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