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$H_{1} : x y = c^{2} and H_{2} : x y = k^{2}$ are two different hyperbolas. From a point on $H_{1}$ , tangents are drawn to $H_{2}$ .Area of the triangle formed by the chord of contact and the asymptote to $H_{2}$ is

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Correct option is C

Equation of the chord of contact from ct,ct on H1 to H2 is (ct)x+cty=2k2. Asymptote of H2 are x = 0 and y = 0 and the chord meetsthese asymptotes at A 2k2ct,0 and B0,2k2tcArea of the required triangle is 122k2ct2k2tc=2k4c2

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H1:xy=c2 and H2:xy=k2 are two different hyperbolas. From a point on H1, tangents are drawn to H2.Area of the triangle formed by the chord of contact and the asymptote to H2 is

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Ready to Test Your Skills?

free study material

$H_{1} : x y = c^{2} and H_{2} : x y = k^{2}$ are two different hyperbolas. From a point on $H_{1}$ , tangents are drawn to $H_{2}$ .Area of the triangle formed by the chord of contact and the asymptote to $H_{2}$ is