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Three Dimensional Geometry: JEE Mains 2022 June 29 Shift 1

Medium· Equation of a plane· +4 / 0

Let

P_1:\vec r\cdot(2\hat i+\hat j-3\hat k)=4

be a plane. Let

P_2

be another plane which passes through the points

(2,-3,2)

,

(2,-2,-3)

and

(1,-4,2)

. If the direction ratios of the line of intersection of

P_1

and

P_2

be

16,\alpha,\beta

, then the value of

\alpha+\beta

is equal to ______.

Your answer (numerical)

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