AP EAMCET202018 Sep 2020Morning ShiftMathematicsStraight LinesActual

If the line joining the points ((k, 3,4),(4,7,8) ) is parallel to the line joining the points ((-1,-2,1),(1,2, l) ), then (k+l= )

Options

Correct answer

C. 7

Step-by-step solution

The direction ratios of line joining points ((k, 3,4) ) and ((4,7,8) ) is (k-4,-4,-4 ) and similarly the direction ratios of line joining points ((-1,-2,1) ) and ((1,2,1) ) is (-2,-4,1-1 ). ( ) Both line segments are parallel, so ( array llll & k-4 -2 & = -4 -4 = -4 1-l k=2 and l=5 & k+l & =7 array )

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