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प्रश्न
What will be the value of 'P' so that the lines `(1 - x)/3 = (7y - 14)/(2P) = (z - 3)/2` and `(7 - 7x)/(3P) = (y - 5)/1 = (6 - z)/5` at right angles.
विकल्प
11
70
`70/11`
`11/70`
MCQ
उत्तर
`70/11`
Explanation:
The given equations are not in standard form, but they can be written as follows:
`(x - 1)/(-3) = (y - 2)/((2P)/7) = (z - 3)/2` .......(i)
`(x - 1)/((3P)/7) = (y - 5)/1 = (z - 6)/(-5)` .......(ii)
The direction ratios of the given lines are `-3, (2P)/7, 2` and `(-3P)/7, 1, -5`.
The lines are perpendicular to one another after that.
`(-3) ((-3P)/7) + ((2P)/7) (1) + (2) (-5)` = 0
9P + 2P – 70 = 0
11P = 70
⇒ P = `70/11`
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