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Find the incentre of the triangle whose vertices are \( O (0,0,0), \quad A(4,0,0) \text { and } \quad B (0,0,3) \).
Given,
If \( A(0,0,0), \quad B (0,12,0) \text { and } C (0,0,5) \) are vertices of a triangle \( ABC \), then find the incentre of \(\triangle ABC \).
Find the excentre with respect to \( A \) where \(A (0,0,0), \quad B (0,12,0) \text { and } C (0,0,5) \) are coordinates of \( \triangle ABC\).
Excentre with respect to is
If \(A(0,0,0), B(0,12,0) \text { and } C (0,0,5) \) are vertices of \( \triangle ABC \), then find the excentre w.r.to \( B \).
Find the excentre with respect to \( C \) where \( A (0,0,0), B (0,12,0) \text { and } C (0,0,5) \) are vertices of \( \triangle ABC \).
In an square \( ABCD \), \( A (13,5,2) \text { and } C (3,7,6) \) are opposite vertices. Find the coordinate of the intersection of two diagonals.
Given,
Let be the intersecting point of .
If \( O (0,0,0) \) is the intersecting point of a diagonal \( ABCD \), where \(A (5,7,a) \text { and } C (b,7,10) \) are opposite vertices, then find \( a \text { and } b \).
If \( A(5,7,8) \text { and } C (2,3,3) \) are opposite vertices of a square \( ABCD \), then find the length of its side.
Given,
The length of its side is .
The point \( (2,3,4) \) lies in what octant?
In octant
The point \( (3,5,7) \) lies in what octant?
In octant,
The point \( (3,7,1) \) lies on what octant?
In octant,
The point \((7,5,9) \) lies in what octant?
In octant,
If the point \( P \) lies on \(z \)axis, then the coordinates of \(P \) are the form______
On axis, .
So, the required cooridnates of the form are
A point \( P \) lie on \(x \)axis, then find the coordinates of \( P \) are of the form_____
On axis, .
So, the required cooridnates of the form are
A point \( P \) lie on \(y \)axis, then find the coordinates of \( P \) are of the form_____
On axis, .
So, the required cooridnates of the form are
The plane \( x=a \) represent a plane parallel to_____
On plane, .
Hence and are parallel to each other.
The plane \( y=b \) represent a plane parallel to_____
On plane, .
Hence and are parallel to each other.
The plane \( z=c \) represents a plane parallel to_____
On plane, .
are parallel to each other.
A line is parallel to \( x \)axis, if all the points on the line have equal______
On axis, and coordinates are equal .
So any line parallel to axis have equal and coordinates.
A line is parallel to \( y \)axis, if all the points on the line have equal______
On axis, and coordinates are zero (equal). So any line parallel to axis have equal and coordinates.
A line is parallel to \( z \)axis, if all the points on the line have equal____
On axis, and coordinates are zero i.e., equal. So any line parallel to axis have equal and cooridnates.
The plane parallel to \( yz \)plane is perpendicular to ________
In space plane is perpendicular to axis.
So every plane parallel to plane also perpendicular to axis.
The plane parallel to \( xy \)plane is perpendicular to ________
In space axis is perpendicular to plane. So every plane parallel to plane also perpendicular to axis.
The plane parallel to \( zx \)plane is perpendicular to________
In space, axis is perpendicular to plane. So every plane parallel to plane also is perpendicular to axis.
If \( A (0,1,7), \quad B (2,1,9) \text { and } C (6,5,13)\) are three points on a line, then find the ratio in which \( B \) divides \( \overline{AC} \).
divides in ratio.