Let the image of the point P(1, 2, 3) in the line L:(x - 6)/3 = (y - 1)/2 = (z - 2)/3 be Q. Let R (α, β, γ) be a point that divides internally the line segment PQ in the ratio 1: 3. Then the value of 22 (α + β + γ) is equal to _ _ _ _ _.

Three Dimensional Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jun, Evening shift · Q22

JEE Main 202228 Jun, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let the image of the point P(1, 2, 3) in the line

L:{{x - 6} \over 3} = {{y - 1} \over 2} = {{z - 2} \over 3}

be Q. Let R (

\alpha

\beta

\gamma

) be a point that divides internally the line segment PQ in the ratio 1 : 3. Then the value of 22 (

\alpha

\beta

\gamma

) is equal to __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 Three Dimensional Geometry Question with Answer (28 Jun Evening shift, Q22) | JEE Arc