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Tangent as Special Case of Secant

17. How to fi...

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17. How to find the equation of common tangent of a circle and a parabola

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Q. Find the equations of common tangents to the parabolas

y^{2} = 16 x

x^{2} + y^{2} = 8

Q. Equation of a common tangent to the circle,

x^{2} + y^{2} - 6 x = 0

and the parabola,

y^{2} = 4 x

Q. Equation of a common tangent to the circle

x^{2} + y^{2} - 6 x = 0

and the parabola,

y^{2} = 4 x

Q. Find the equations to the common tangents of the circle

x^{2} + y^{2} + 4 a x = 0

y^{2} = 4 a x .

Q. The equation of common tangent to the circle

x^{2} + y^{2} = 2

y^{2} = 8 x

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