Start Free Mock LoginAlready registered? Login here

Mathematics - Ellipse Question with Solution | TestHub

MathematicsEllipseMiscellaneous/MixedMedium2 minQB

MathematicsMediumsingle choice

C1: x^2-y^2=1 (x<0); C2: xy=1 (y>0). Ellipse C3 shares a focus with C2; its corresponding directrix is an asymptote of

Options:

Answer:

Solution:

Parametrize $B = (1/ t, t)$ and $C = (t, 1/ t)$ . Since $BC$ has slope -1 , one altitude is $2 x - 2 y = 3$ . A second altitude is $x + 2 t y = t + 2$ . Their intersection is independent of $t$ , so the orthocentre is fixed.ing directri

Stream:JEESubject:MathematicsTopic:EllipseSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...