UPES B.Tech Admissions 2025
ApplyRanked #42 among Engineering colleges in India by NIRF | Highest CTC 50 LPA , 100% Placements
Image of a Point in the Plane is considered one of the most asked concept.
20 Questions around this concept.
The image of the line in the plane is the line :
Let P be the plane passing through the line and the point
If the image of the then point (-1, 3, 4) in the plane P is then is equal to
let be the image of the point P (2, 3, 5) in the plane then is equal to
New: Direct link to apply for JEE Main 2025 registration for session 1
Also Check: Crack JEE Main 2025 - Join Our Free Crash Course Now!
JEE Main 2025: Sample Papers | Syllabus | Mock Tests | PYQs | Video Lectures
JEE Main 2025: Preparation Guide | High Scoring Topics | Study Plan 100 Days
The image of the point P(x1, y1, z1) in the plane ax + by + cz + d = 0 is Q(x3, y3, z3) then coordinates of point Q is given by
Proof:
Let point Q(x3, y3, z3) is the image of the point P(x1, y1, z1) in the plane π : ax + by + cz + d = 0
Let line PQ meets the plane ax+by+cz+d=0 at point R, direction ratio of normal to plane π are (a, b, c), since, PQ perpendicular to plane π.
So direction ratio of PQ are a, b, c
Since, point R lies in the plane π, we get
In the similar method we can also find the coordinates of point R.
"Stay in the loop. Receive exam news, study resources, and expert advice!"