Question #46097

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.

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.

Expert's answer

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