Find the equation of the line which passes through and makes an angle
30
0
with the line (3)
(b) Find the distance of the line obtained in part (a), from the origin by expressing it
in the normal form. Also find the intercepts made by this line on the coordinate
axes. (3)
4
(c) Obtain the equation of the plane passing through the line and
which is perpendicular to the plane (3)
(d) Find the vertices, eccentricity, foci and asymptotes of the hyperbola
Also trace it. Under what conditions on the line will be tangent
to this hyperbola? Explain geometrically.
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