The number of planes that are equidis...

The number of planes that are equidistant from four non-coplanar points is a. `3` b. `4` c. `7` d. `9`

Text Solution

Verified by Experts

The correct Answer is:

Let the point be A,B C and D.
The number of planes which have three points on one side and the foruth point on the side is 4. The number of planes which have two points on each side of the plane is 3.

Topper's Solved these Questions

THREE-DIMENSIONAL GEOMETRY
CENGAGE PUBLICATION|Exercise MULTIPLE CORRECT ANSWER TYPE|17 Videos
THREE-DIMENSIONAL GEOMETRY
CENGAGE PUBLICATION|Exercise REASONING TYPE|10 Videos
THREE-DIMENSIONAL GEOMETRY
CENGAGE PUBLICATION|Exercise SUBJECTIVE TYPE|17 Videos
THREE DIMENSIONAL GEOMETRY
CENGAGE PUBLICATION|Exercise All Questions|291 Videos
TRIGONOMETRIC EQUATIONS
CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

Similar Questions

Explore conceptually related problems

Let n be the number of points having rational coordinates equidistant from the point (0,sqrt3) , then

Find a point on the x-axis, which is equidistant from the points (7,6) and (3, 4).

Find the point of z-axis which is equidistant from the points (1,5,7)and(5,1,-4)

The equation of the locus of points equidistant from (-1,-1) and (4, 2) is :

Find the condition that the point (a,b) is equidistant from the points (8,4) and (-2,-4) .

The number of nine nonzero digits such that all the digits in the first four places are less than the digit in the middle and all the digits in the last four places are greater than that in the middle is a. 2(4!) b. 3(7!)//2 c. 2(7!) d. ^4P_4xx^4P_4

Find a point on the Y-axis which is equidistant from both the points A(6, 5) and B(– 4, 3).

Find the point of z-axis which equidistant from the points (1,5,7) and (5,1,-4)____

Find the condition so that the point (a,b) may be equidistant from the points (8,4) and (-2,-4) .

Find the equation to the locus of a moving point which is always equidistant from the points (3 , 4 , -5) and ( - 2, 1 , 4)

CENGAGE PUBLICATION-THREE-DIMENSIONAL GEOMETRY -SINGLE CORRECT ANSWER TYPE

If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d2=0 and P3:vec r.vecn3-d3=0 ar...
Text Solution
|
The length of projection of the line segment joining the points (1,0,-...
Text Solution
|
The number of planes that are equidistant from four non-coplanar po...
Text Solution
|
In a three-dimensional coordinate system, P ,Q ,a n dR are images o...
Text Solution
|
A plane passing through (1,1,1) cuts positive direction of coordinates...
Text Solution
|
If lines x=y=za n dx=y/2=z/3 and third line passing through (1,1,1) fo...
Text Solution
|
Find the point of intersection of line passing through (0,0,1) and ...
Text Solution
|
Shortest distance between the lines (x-1)/1=(y-1)/1=(z-1)/1a n d(x-...
Text Solution
|
Distance of point P( vec p) from the plane vec rdot vec n=0 is a. | v...
Text Solution
|
The reflection of the point vec a in the plane vec rdot vec n=q is...
Text Solution
|
Line vec r= vec a+lambda vec b will not meet the plane vec rdot vec ...
Text Solution
|
If a line makes an angel of pi/4 with the positive direction of eac...
Text Solution
|
The ratio in which the plane vec rdot (vec i-2 vec j+3 vec k )=17 d...
Text Solution
|
the image of the point (-1,3,4) in the plane x-2y=0 a.(-(17)/(3),(19)/...
Text Solution
|
The distance between the line vec r=(2 hat i-2 hat j+3 hat k)+lambd...
Text Solution
|
Column I, Column II A tx=1,f(x)={logx ,x<1 2x-x^2, xgeq1 , p. is ...
Text Solution
|
The length of the perpendicular drawn from (1,2,3) to the line (x-6...
Text Solution
|
If the angle theta between the line (x+1)/1=(y-1)/2=(z-2)/2 and the pl...
Text Solution
|
The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2+z...
Text Solution
|
If a plane cuts off intercepts OA = a, OB = b, OC = c from the coordi...
Text Solution
|