Find the reflection of the point (alpha,...

Find the reflection of the point `(alpha, beta, gamma)` in the XY-plane, YZ-plane.

`(alpha, beta, 0)`

`(0, 0, gamma)`

`(-alpha, -beta, gamma)`

`(alpha, beta, -gamma)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - B|47 Videos
THREE DIMENSIONAL GEOMETRY
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - C|14 Videos
THREE DIMENSIONAL GEOMETRY
AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|97 Videos
STRAIGHT LINES
AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (AAKASH CHALLENGERS QUESTIONS)|5 Videos
TRIGNOMETRIC FUNCTIONS
AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

The reflection of the point P (alpha, beta, gamma) in the xy-plane is

Find the the image of the point (alpha, beta, gamma) with respect to the plane 2x+y+z=6 .

The equations of the line through the point (alpha, beta, gamma) and equally inclined to the axes are (A) x-alpha=y-beta=z-gamma (B) (x-1)/alpha=(y-1)/beta=(z-1)/gamma (C) x/alpha=y/beta=z/gamma (D) none of these

Let alpha,beta, gamma be three real numbers satisfying [(alpha,beta,gamma)][(2,-1,1),(-1,-1,-2),(-1,2,1)]=[(0,0,0)] . If the point A(alpha, beta, gamma) lies on the plane 2x+y+3z=2 , then 3alpha+3beta-6gamma is equal to

Find the image of the point (4, 5, 7) in XY-plane.

Find the distance of the point (2, 3, 5) from the xy-plane.

Find the image of the point (-4, 0, -1) in YZ-plane.

Find the image of the point in the specified plane: (-3,4,7) in YZ-plane.

A variable plane passes through a fixed point (alpha,beta,gamma) and meets the axes at A ,B ,a n dCdot show that the locus of the point of intersection of the planes through A ,Ba n dC parallel to the coordinate planes is alphax^(-1)+betay^(-1)+gammaz^(-1)=1.

Let x-ysin alpha-zsin beta=0 , xsin alpha+zsin gamma-y=0 and xsin beta+ysin gamma-z=0 be the equations of the planes such that alpha+beta+gamma=pi//2 (where alpha,beta and gamma!=0)dot Then show that there is a common line of intersection of the three given planes.

AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A

Find the equation of plane containing the line x+ y - z = 0 = 2x – y +...
Text Solution
|
The equation of the plane passing through the intersection of x + 2y +...
Text Solution
|
A unit vector normal to the plane through the points hati, 2hatj and...
Text Solution
|
The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0...
Text Solution
|
The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...
Text Solution
|
The angle between the line whose d.c.'s are connected by the relations...
Text Solution
|
Find the coordinates of the foot of perpendicular drawn from th poi...
Text Solution
|
एक रेखा की दिक्-कोसाइन ज्ञात कीजिए तो निर्देशांक्षो के साथ समान कोण ...
Text Solution
|
The number of unit vectors perpendicular to the plane of vectors veca=...
Text Solution
|
The pair of lines whose direction cosines are given by the equations 3...
Text Solution
|
If direction cosines of a line are (1/a, 1/a, 1/a) then
Text Solution
|
The planes: 2x y + 4z = 5 a n d 5x 2. 5 y + 10 z = 6are(A) Perpendic...
Text Solution
|
Distance between the two planes 2x+3y +4z =4 and 4x+6y +8z=12 is
Text Solution
|
Find the equation of the plane passing through the point (-1, 3, 2) an...
Text Solution
|
The locus represented by xy + yz = 0 is
Text Solution
|
Find the reflection of the point (alpha, beta, gamma) in the XY-plane,...
Text Solution
|
The sine of the angle between the line (x-2)/(3) = (y-3)/(4) = (z-4)/(...
Text Solution
|
If the line (x-1)/2=(y+3)/1=(z-5)/(-1) is parallel to the plane px +...
Text Solution
|
A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2...
Text Solution
|
Find the shortest distance between the lines (x)/2=(y-2)/3=(z-4)/3 a...
Text Solution
|