See image β AITS & Test Series Chemistry Question
Question
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π‘ Solution & Explanation
Plane containing the line will be given as (4x β 2y β 10) + ο¬ (5y β 4y + 3) = 0 4x (5 2)y 4 z 3 10 0 ο ο« ο§ο ο ο¬ ο« ο¬ο ο½ the plane passing through (4, 3, 7) will give ο¬ 16x (5 2)y 4 z 3 10 0 ο ο« ο§ο ο ο¬ ο« ο¬ο ο½ 10 0 0 οο ο¬ο½ οο¬ο½ i.e., 4x β 2y β 10 = 0 If this rotated an angle 2 ο° the plane will be 4x + (5ο¬β β2)y β4ο¬βz + (2ο¬β β 10) = 0 Also 16 (5 ' 2)( 2) 0 ο« ο¬ο ο ο½ ο ' 2; i.e. 4x 8y 8z 4 ο¬ο½ ο« ο ο½ x y z OA yOB zOC 0 l m n ο½ ο½ ο½ο¬ο ο« ο« ο½ ο΅ο΅ο΅ο² ο΅ο΅ο΅ο² ο΅ο΅ο΅ο² ο²