Questions
The intercepts made on the axes by the plane which bisects the line joining the points (1, 2, 3) and (-3, 4, 5) at right angles are
a
−92,9,9
b
92,9,9
c
9,−92,9
d
9,92,9
detailed solution
Correct option is A
Direction ratios of the line joining points P(1,2,3) and Qe3, 4, 5) are 4, 2, 2 which are direction ratios of the normal to the plane.Then, equation of plane is 4x + 2y + 2z - k. Also this plane passes through the midpoint of PQ(1,3, 4l). Thus, −4(−1)+2(3)+2(4)=kor k=18Hence, equation of plane is 2x - y - z = -9 Then, intercepts are (-9/2),9 and 9.Talk to our academic expert!
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The equation of a plane which passes through the point of intersection of lines and and at greatest distance from point (0,0,0) is
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