Equation of a Plane : Vector Form
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Q.
Find the coordinates of focus, equation of directrix and length of the latus rectum for y2=−8x.
Q. Consider a plane x+y−z=1 and point A(1, 2, −3). A line L has the equation x=1+3r, y=2−r and z=3+4r.
The equation of the plane containing line L and point A has the equation
The equation of the plane containing line L and point A has the equation
- x−3y+5=0
- x+3y−7=0
- 3x−y−1=0
- 3x+y−5=0
Q. The plane passing through the point (4, −1, 2) and parallel to the lines x+23=y−2−1=z+12 and x−21=y−32=z−43 also passes through the point :
- (1, 1, 1)
- (1, 1, −1)
- (−1, −1, −1)
- (−1, −1, 1)