Let P be a plane containing the line (x - 1)/3 = (y + 6)/4 = (z + 5)/2 and parallel to the line (x - 1)/4 = (y - 2)/(- 3) = (z + 5)/7. If the point (1, - 1, α) lies on the plane P, then the value of |5 α | is equal to _ _ _ _ _ _.

Three Dimensional Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 18 Mar, Evening shift · Q23

JEE Main 202118 Mar, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let P be a plane containing the line

{{x - 1} \over 3} = {{y + 6} \over 4} = {{z + 5} \over 2}

and parallel to the line

{{x - 1} \over 4} = {{y - 2} \over { - 3}} = {{z + 5} \over 7}

. If the point (1,

-

\alpha

) lies on the plane P, then the value of |5

\alpha

| is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.