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Line$ 3x-4y+k$ touches a circle $x^2+y^2-4x-8y-5 = 0$ at $(a,b)$, then find $k+a+b =?$

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#circles #coordinate-systems #tangent-line
203
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Show that angles are equal in a circumscribed circle

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#geometry #euclidean-geometry #circles #tangent-line
306
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Four touching circles and one common tangent

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#geometry #euclidean-geometry #circles #tangent-line #geometric-transformation
620
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Find the points on the ellipse where the slope of the tangent line is 1.

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#geometry #analytic-geometry #conic-sections #tangent-line
22
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Computing a circle from a given set with a tangent line condition

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#analytic-geometry #circles #tangent-line
1.1k
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Tangents to parabola $y^2=-4(x-1)$ with slopes in a certain range determine chords, bisected by $x=1$, of a circle. Find the equation of the circle.

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#circles #coordinate-systems #tangent-line #parabolic-pde
1.7k
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If parabola with focus (2/5,4/5)...

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#conic-sections #coordinate-systems #tangent-line
226
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A circle through a point on a parabola and the foot of the perpendicular to the directrix has its center on the tangent. Prove it contains the focus.

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#circles #conic-sections #tangent-line
93
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The square and circle below are tangent at one point and meet at four other points. Whats the radius?

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#geometry #circles #tangent-line
1.3k
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Tangent to a 2-Dimensional curve, in 3 Dimensions

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#geometry #differential-geometry #tangent-line
150
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Geometry problem with parabola and two tangents which intersect

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#geometry #parametric #tangent-line #locus
108
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How do you know if the tangent unit vector parallel

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#vector-fields #tangent-line
49
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two different definitions of a tangent plane are equivalent

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#multivariable-calculus #derivatives #tangent-line #tangent-spaces
64
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Tangent line off a curve

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#derivatives #tangent-line
146
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Problem related to incident and reflected rays in an ellipse

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#geometry #conic-sections #tangent-line

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