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Q.

The plane x1+y2+z3=1 intersect x-axis, y-axis z-axis at A,B,C respectively. If the distance between
origin and orthocentre of △ABC is equal to K the value of 7k is equal to ___

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answer is 6.

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Detailed Solution

Orthocentre is the foot of perpendicular  drawn from origin on the plane

Distance from orthocentre to origin= distance from origin to the plane

k=11+14+19=67⇒7k=6

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The plane x1+y2+z3=1 intersect x-axis, y-axis z-axis at A,B,C respectively. If the distance betweenorigin and orthocentre of △ABC is equal to K the value of 7k is equal to ___