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Given lines x-4 = y+5 = z-1 and x-2 = y+1 = z 2 4 -3 1 3 2 Statement 1 : The lines intersect Statement 2 : They are not parallel (A) Statement 1 is true, Statement 2 is true and Statement 2 is correct explanation for Statement 1 (B) Statement 1 is true,Statement 2 is true and Statement 2 is not the correct explanation for statement 1 (C) Statement 1 is true, Statement 2 is false (D) Statement 1 is false, Statement 2 is true

Given lines  x-4= y+5 = z-1 and x-2= y+1= z
                        2       4      -3            1       3     2
Statement 1 : The lines intersect
Statement 2 : They are not parallel
 
(A) Statement 1 is true, Statement 2 is true and Statement 2 is correct explanation for Statement 1
(B) Statement 1 is true,Statement  2 is true and Statement 2 is not the correct explanation for statement 1
(C) Statement 1 is true, Statement 2 is false
(D) Statement 1 is false, Statement 2 is true

Grade:11

1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
6 years ago
Put both the equations equal to a constant value.
For ex k & m. Now find the values of x, y, z in terms of k & m.
For any value of k and m (same or different) if all the coordinates are same than they intersect otherwise not. Here they dont intersect.

Obviously they are not paralles as there direction cosines are not a common multiple of each other.

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