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Name the octant in which the point \((1,2,3) \) lies?
In octant
Name the octant in which the point \( P (4, 2 5 ) \) lies?
In octant
The point \( P (7, 3, 4) \) lies on the octant______
In octant
The point \( P (2,7,9) \) lies on the octant_____
In octant
Find the distance from the origin to the point \( (6,6,7) \)
Distance from the origin to the point is
The point \( \left( x,y, \sqrt{1x^2y^2} \right) \) is at a distance_______ unit from the origin.
Distance of from origin is
How far apart are the points \( (3,0,0) \) and \( (2,0,0) \)
Hence
What is the shortest distance between the points \( (4, 9,0) \) and \( (0, 9 , 3) \)?
Hence
Find the distance from origin to the point \( \left( x+y,\quad yx,\quad 2 \sqrt{xy} \right) \) is_______
Distance from the point to origin is
The points \( A (1,1,3), B (2,4,5) \) and \( C (5,13,11) \) are ______
Given,
, Hence these points are collinear.
Find the coordinates of \( A, B \) and \( C \) be the feet of perpendiculars from a point \( P (3,4,5) \) on the \( XY, YZ \) and \( ZX \) planes respectively.
We know, on plane on plane , and on plane . Hence coordinate are on and planes respectively.
Find the distance between the two points \( A \left( x,y, \sqrt{xy} \right) \) and \( B \left( y,x, \sqrt{yx} \right) \).
Given,
Find the coordinate foot of perpendicular of \( P (4,3,5) \) on \( yz \)plane.
On plane .
Coordinate of foot of perpendicular is
Find the coordinate of the foot of perpendicular on \( xy \)plane to the point \( P (2,7,3) \)
Coordinate of foot of perpendicular from on plane is (as on plane)
\( P \) be the foot of perpendicular on \( zx \)plnae from the point \( A (3,7,2) \), find the coordinate of \( P \).
On plane .
Coordinate of is
The points \( A (0,4,1), \quad B (2,3,1) \) and \( C (4,5,0) \) are ______
Given, and
is a right angle triangle.
Three consecutive vertices of a parallelogram \( A (6,2,4), \quad B (2,4,8) \text { and }\quad C (2,2,4)\). Find the coordinate of the fourth vertex?
Let be vertices of parallelogram .
Midpoint of
Now midpoint of ,
Find the third vertex of a triangle whose centroid is origin and two vertices are \( (2,4,6) \) and \((0,2,5) \).
Given
Let
Find the centroid of a triangle, the mid point of whose sides are \( (1,2,3) , \quad (3,0,1)\) and \((1, 1,4) \).
Let are midpoint of .
Let
Find the vertices of the triangle \( ABC \) whose mid points of the sides are \( (5,7,11), (0,8,5) \) and \((2,3,1) \).
—(i)
—(ii)
–(iii)
From (1) +(ii) , we get
—(iv)
From (iii) and (iv), we get
and
and
If the vertices of a parallelogram \( ABCD \) are \( A (1,2,3), \quad B (1,2,1) \) and \( C (2,3,2) \) then find the fourth vertex \( D \).
Let the vertex .
The midpoint of is
Now, midpoint of is
If the origin is the centroid of \( \triangle ABC \) having vertices \(A (a,1,3), \quad B (2,b,5) \) and \( C(4,7,c) \), then find \( a,b \) and \( c \).
Given,
If \( A (2, 2,3), \quad B (5,6,9), \quad C (2,7,9) \) be the vertices of triangle \( ABC \). The internal bisector of the angle \( A \) meets \( BC \) at the point \( D \), then find coordinates of \( D \).
is the midpoint of .
The three points , \( A(2,3,4), \quad B (1,2,3) \) and \( C (4, 1,10) \) are ______
Given,
Now
are collinear.
The three points , \( A(2,3,4), \quad B (4, 1,10) \) and \( C (1, 2,3) \) are collinear. Find the ratio in which \( B \) divides \( AC \).
Given,
divides in ratio.