Equation of Plane Containing Two Lines
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Q. If two lines
x−13=y−24=z−35 and
x−92=y−84=z−78
lie in the same plane then the equation of that plane is -
x−13=y−24=z−35 and
x−92=y−84=z−78
lie in the same plane then the equation of that plane is -
- 3x−7y+z−1=0
- 9x−7y+z−1=0
- 6x−7y+2z−2=0
- None of these
Q. If two lines
x−αl=y−βm=z−γn and x−α′l′=y−β′m′=z−γ′n′
lie in the same plane then the equation of the plane is -
x−αl=y−βm=z−γn and x−α′l′=y−β′m′=z−γ′n′
lie in the same plane then the equation of the plane is -
- ∣∣ ∣∣xyzlmnl′m′n′∣∣ ∣∣=0
- ∣∣ ∣∣x−αy−βz−γlmnl′m′n′∣∣ ∣∣=0
- ∣∣ ∣∣l−l′m−m′n−n′lmnl′m′n′∣∣ ∣∣=0
- None of these
Q. Let the equation of the plane containing line x−y−z−4=0=x+y+2z−4 and parallel to the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2 be x+Ay+Bz+C=0. Then the value of |A+B+C−4| is