Grade 12Analytical Geometry
Image of (1,2,3 )in a plane is (3,4,5 )find equation of plane
Image of (1,2,3 )in a plane is (3,4,5 )
find equation of plane
2 Answers
Deepak Kumar Shringi
find the perpendicular vector to the plane by joining points
(1,2,3) and (3,4,5,) also find the mid point (2,3,4,) that lies on the plane now find equation of plane by using there two
(1,2,3) and (3,4,5,) also find the mid point (2,3,4,) that lies on the plane now find equation of plane by using there two
Arun
Dear student
Normal vector to plane is
(3-1) i + (4-2) j + (5-3) k
= 2i + 2j + 2k
now
equation of plane will be like
2x + 2y + 2 z = d
now it passes through (2,3,4)
hence
4 + 6 + 8 = d
d = 18
hence equation of plane is
x + y + z = 9
Other Related Questions on analytical geometry
- The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
- The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
analytical geometry
Last Activity: 4 Years ago
show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)
show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)
analytical geometry
Last Activity: 4 Years ago
show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0
show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0
analytical geometry
Last Activity: 4 Years ago
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.
analytical geometry
Last Activity: 4 Years ago
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
analytical geometry
Last Activity: 4 Years ago