If The Chords Of Contact Of Tangents From Two Points (x1, y1) And (x2, y2) To The Hyperbola are At Right Angles, Then is Equal To

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Question

If the chords of contact of tangents from two points (x₁, y₁) and (x₂, y₂) to the hyperbola are at right angles, then is equal to

easy

Solution

Correct option is

The equation of the chords of contact of tangents from (x₁, y₁) and (x₂,y₂) to the given hyperbola are

Lines (i) and (ii) are at right angles.

.

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SIMILAR QUESTIONS

Q1

Find the coordinates of the foci and the equation of the directrices of the rectangular hyperbola xy = c².

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Q2

Find the equation of the hyperbola whose asymptotes are x + 2y + 3 = 0 and 3x + 4y + 5 = 0 and which passes through the point

(1,–1 ). Find also the equation of the conjugate of the conjugate hyperbola.

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Q3

The vertices of the hyperbola

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Q4

The centre of the hyperbola

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Q5

The eccentricity of the hyperbola with latusrectum 12 and semi-conjugate axis , is

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Q6

The equation of the hyperbola with vertices (3, 0) and (–3, 0) and semi-latusrectum 4, is given by

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Q7

The equation of the tangent to the curve 4x² – 9y² = 1 which is parallel to 4y = 5x + 7, is

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Q8

The equation of the tangent parallel to y = x drawn to is

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Q9

If m is a variable, the locus of the point of intersection of the lines is a/an

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Q10

The locus of a point P(α, β) moving under the condition that the line y = αx + β is a tangent to the hyperbola

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