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Position of a Line W.R.T Hyperbola

The perpendic...

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The perpendicular from the origin to the tangent at any point on the curve is equal to the abscissa of the point of contact. If equation of tangent to the curve at (1,3) is ax + by + 5 = 0, then value of a + b is equal to?

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Q. The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Let the equation of the curve satisfying the above condition and which passes through (1 , 1) be

k x^{2} + m y^{2} - 2 n x = 0

k + m + n

Q. The perpendicular from the origin to the tangent at any point on a curve is equal to the abscissa of the point of contact. Find the equation of the curve satisfying the above condition and which passes through

(1, 1)

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Q. A curve is passing through the point

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x

y

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Q. If a curve passing through

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and the recriprocal of abscissa of point

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is such that the tangent drawn at any point P on it intersects the x-axis at Q and the reciprocal of abscissa of point P is equal to twice x-intercept of a tangent at P. Then the equation of the curve is

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Position of a Line W.R.T Hyperbola

Standard XII Mathematics

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