Answer :
The distance of a point with position vector from the plane
is
.
The position vector of point (1,1,p) is given as -
⇒
The position vector of point (-3,0,1) is given as -
⇒
It is given that the points (1,1,p) and (-3,0,1) are equidistant from the plane
∴
⇒ 20 - 12p = 8
⇒ 20 - 12p = 8 or, 20 - 12p = -8
⇒ 12p = 12 or, 12p = 28
∴ p = 1 or, p = 7/3
us, the possible values of p are 1 and 7/3.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation


RELATED QUESTIONS :
Find the equation
Mathematics - Board PapersFind the equation
Mathematics - Board PapersFind the length o
Mathematics - Board PapersFind the coordina
Mathematics - Board PapersFind the equation
Mathematics - Board PapersShow that the lin
Mathematics - Board Papers