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Q.

Statement-I: If A=(1,-1,3), B=(2,1,-2), C=(-5,2,-6) vertices of ΔABC then length of internal angular bisector of A is 3104.
Statement-II: If angular bisector of A meets opposite side in D then D divides BC¯ in AB:AC ratio 

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a

Statement-I is true statement-II is true, Statement-II is correct explanation of Statement-I

b

Statement-I is false, statement-II is true

c

Statement-I is true statement-II is false

d

Statement-I is true statement-II is true , Statement-II is not correct explanation of statement-I.

answer is B.

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Detailed Solution

A=(1,1,3) B=(2,1,2)C=(5,2,6)AB=1+4+1=6 AC=36+9+9=36
D divides  BC¯ in 6:36=1:3 ratio 
D=5+64,2+34,664=14,54,3AD=916+8116+0=3104

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