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Position of a Line W.R.T Hyperbola

Equation of t...

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Equation of tangent having slope '1' to the circle x2 + y2 -10x-8y+50

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Q. Equation of tangent having slope

1

x^{2} + y^{2} - 10 x - 8 y + 5 = 0

Q. Equation of tangent having slope as 1 to the circle

x^{2} + y^{2} = 25

Q. The normal at

P (2, 4)

y^{2} = 8 x

meets the parabola at

Q .

Then the equation of the circle having normal chord

P Q

The equation of tangent with slope m of the circle $x^{2} + y^{2} = a^{2}$ are given by $y = m x \pm m \sqrt{1 + a^{2}}$

Q. The equation of common tangent to the circles

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

x^{2} + y^{2} - 6 x - 8 y - 24 = 0

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Position of a Line W.R.T Hyperbola

Standard XII Mathematics

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