Question
The locus of a point, such that the sum of the squares of its distances from the planesx+y+z=0, x-z=0 and x−2y+z=0 is 9, is
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[c] Let the variable point be (α,β,γ) then according to question (|α+β+γ|3√)2+(|α−γ|2√)2+(|α−2β+γ|6√)2=9 ⇒α2+β2+γ2=9. So, the locus of the point is x2+y2+z2=9
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Question Text | The locus of a point, such that the sum of the squares of its distances from the planesx+y+z=0, x-z=0 and x−2y+z=0 is 9, is |
Answer Type | Text solution:1 |
Upvotes | 150 |