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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.