Solveeit Logo

Question

Question: The line joining the points \(( - 2,1 , - 8 )\) and \(( a , b , c )\) is parallel to the line whose ...

The line joining the points (2,1,8)( - 2,1 , - 8 ) and (a,b,c)( a , b , c ) is parallel to the line whose direction ratios are 6, 2, 3. The values of a,b,ca , b , c are

A

4, 3, –5

B

1, 2, –13/2

C

10, 5, –2

D

None of these

Answer

4, 3, –5

Explanation

Solution

According to question, a+26=b12=c+83\frac { a + 2 } { 6 } = \frac { b - 1 } { 2 } = \frac { c + 8 } { 3 }

a=4,b=3,c=5\Rightarrow a = 4 , b = 3 , c = - 5.