Questions
A line having direction ratios cuts planes and at and then
a
310
b
21019
c
10
d
31019
detailed solution
Correct option is B
Suppose that θ be the acute angle between the line whose direction ratios are ⟨1,0,3⟩ and the plane x-y+6z=6hence, sinθ=al+bm+cna2+b2+c2l2+m2+n2=1+181+91+1+36=191038and sinθ=PMPQ where PM is perpendicular distance from the point to the plane, or it is equal to the distance between two parallel planes. hence, PM=c2−c1a2+b2=21+1+36=238Therefore, PQ=PMsinθ=238103819=21019Talk to our academic expert!
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The equation to the plane through the line of intersection of such that each plane is at a distance of 2 unit from the origin is
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