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Position of a Line W.R.T Hyperbola

Show that the...

Question

Show that the sum of intercepts of tangent to curve x+y =a on the coordinate axes is constant

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Q. The sum of the intercepts made by a tangent to the curve

\sqrt{x} + \sqrt{y} = 4

(4, 4)

on coordinate axes is -

Q. The sum of intercepts of the tangent to the curve

\sqrt{x} + \sqrt{y} = \sqrt{a}

upon the coordinates axes is

Q. The sum of the intercepts made on the axes of coordinates by any tangent to the curve

\sqrt{x} + \sqrt{y} = 2

Q. Prove that sum of intercepts of the tangent at and point to the curve represented by

x = {c o s}^{4} θ & y = {s i n}^{4} θ

on the coordinate axis is constant

Q. The sum of the intercepts on the coordinate axis by any tangent to the curve

\sqrt{x} + \sqrt{y} = 2

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Position of a Line W.R.T Hyperbola

Standard XII Mathematics

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