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Shanti Prabhu
Asked: 2022-10-29T05:13:26+05:30 In:

Assertion: If the lines `(x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6)/(-5) ` are perpendicular to each other , then `k=10/7`, Reason: Two lines having diection ratios `l_1,m_1,n_1 and l_2,m_2,n_2` are perpendiculr to each other if and only if `l_1l_2+m_1m_2+n_1n_2=0` (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.
A. `(-5)/(7)`
B. `(5)/(7)`
C. `(10)/(7)`
D. `(-10)/(7)`

Assertion: If the lines `(x-1)/(-3)=(y-2)/(2k)=(z-3)/2 and (x-1)/(3k)=(y-1)/1=(z-6)/(-5) ` are perpendicular to each other , then `k=10/7`, Reason: Two lines having diection ratios `l_1,m_1,n_1 and l_2,m_2,n_2` are perpendiculr to each other if and only if `l_1l_2+m_1m_2+n_1n_2=0` (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.
A. `(-5)/(7)`
B. `(5)/(7)`
C. `(10)/(7)`
D. `(-10)/(7)`
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  1. Correct Answer – D
    Since the given lines are are perpendicular to each other we have ,
    `(-3) (3k) +(2kxx1) +2xx (-5) =0 rArr 7k =-10 rArr k = (-10)/(7)`

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