Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+1 vote
16.3k views
in Mathematics by (49.1k points)

Let α, β, γ, δ be real numbers such that α2 + β2 + γ2 ≠ 0 and α + γ = 1. Suppose the point (3,2,−1) is the mirror image of the point (1,0,−1) with respect to the plane αx + βy + γz = δ. Then which of the following statements is/are TRUE? 

(A) α + β = 2

(B) δ - γ = 3

(C) δ + β = 4

(D) α + β + γ = δ

Please log in or register to answer this question.

1 Answer

+1 vote
by (46.9k points)

(A) α + β = 2,

(B) δ - γ = 3,

(C) δ + β = 4

And from (1)

So, A,B,C are correct.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...