Q. 255.0( 1 Vote )
Find the vector and Cartesian forms of the equation of the plane passing through the point (1, 2, – 4) and parallel to the lines 
and 
Also, find the distance of the point (9, – 8, – 10) from the plane thus obtained.[CBSE 2014]
Answer :
The plane passes through the point (1,2, – 4)
A vector in a direction perpendicular to
and
is
Equation of the plane is (
⇒ 
Substituting 
, we get the Cartesian form as
– 9x + 8y – z = 11
The distance of the point (9, – 8, – 10) from the plane
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
PREVIOUSFind the distance of the point (1, -2, 3) from the plane x – y + z = 5 measured along a line parallel to [CBSE 2013]NEXTFind the equation of the plane through the line of intersection of the planes x + y + z = 1 and 2x + 3y + 4z = 5 which is perpendicular to the plane x - y + z = 0. Also find the distance of the plane obtained above, from the origin.
OR
Find the distance of the point (2, 12, 5) from the point of intersection of the line and the plane [CBSE 2014]
Related Videos
Questions Based on 3D Geometry26 mins
Questions Based on 3D Geometry | Check Yourself40 mins
Revision of straight lines important formulas in one shot59 mins
Concept Builder Questions of straight Lines (Quiz Session)55 mins
Reminding 11th - Revision of Circles important formulas in 50 Minutes56 mins
Conic Section Part 164 mins
Questions Based on 3D Geometry26 minsQuestions Based on 3D Geometry | Check Yourself40 minsRevision of straight lines important formulas in one shot59 minsConcept Builder Questions of straight Lines (Quiz Session)55 minsReminding 11th - Revision of Circles important formulas in 50 Minutes56 minsConic Section Part 164 minsTry 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 of the line passing through the point (–1, 3, –2) and perpendicular to the lines 
and 
Find the length of the perpendicular drawn from the origin to the plane 2x – 3y + 6z + 21 = 0.
Mathematics - Board PapersFind the coordinates of the foot of perpendicular and the length of the perpendicular drawn from the point P (5, 4, 2) to the line 
. Also find the image of P in this line.
Show that the lines 
and 
intersect. Find their point of intersection.
