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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: intecepts
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jw (0)

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if the plane has intercept a, b, c and is at a distance m units frm the point whre the 3 mutually perp axis meet each other.
 
then a-2 + b-2 + c-2 = ?
    
hash_include (381)

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ans : m-2

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dheer_07 (241)

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eq  of plane will be  x\a+y\b+z\c=1
 
now just use dist  formula   and  square  both sides 
 
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paddy.dude (1156)

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suppose the eq of plane is
Ax+By+Cz=D
now aplly the intecept conditions
then apply distance formula
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jw (0)

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still didn't understand, hash include u right.

HOW? plzzzzzz explain.
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paddy.dude (1156)

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u will get x intercept when (a,0,0)
Aa+0+0=D
similarly
0+Bb+0=D
0+0+Cc=D
therrefore 1/a=A/D
similarly for others u apply then use distance formula
D=m/root of (A2+B2+C2)

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