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The midpoint of the sides of a triangle are \( (1,5,1, \quad (0,4,2) \quad \text { and } (2,3,4) \). Find the centroid of the triangle.
Given, then,
The distance of point \( (3,4,5) \) from \(yz \)plane is________
Given, P (3,4,5) on plane .
Distance of from plane,
Find the distance of the point \( P (3,4,5) \) from \( xy \)plane.
Given, on plane .
Distance of from plane is units.
The distance of the point \( P(3,4,5) \) from \(zx \)plane is______
Given, on plane .
Distance of from plane is
Distance of the point \( (3,4,5) \) from the origin \((0,0,0) \) is_____
Given, and
If the distance between the points \( (a,0,1) \) and \((0,1,2) \) is \( \sqrt{27} \), then \( a \) is______
Given, and
\( x \)axis is the intersection of two planes?
We know that, on the and planes , the line of intersection is axis.
\( y \)axis is the intersection of two planes?
On the and planes axis is the intersecting line.
\( z \)axis is the intersection of two planes?
The and planes have common intersecting line axis.
Equation of \( y \)axis is considered as_______
On axis, and i.e., is the coordinate on axis, where
Equation of \( x \)axis is considered as_______
On axis, and i.e., is the coordinate on axis, where or .
Equation of \( z \)axis is considered as_______
On axis, and i.e., is the coordinate on axis, where .
The three axes \( ox, oy \) and \( oz \) determine_________
The three axes and determine three coordinates plane i.e., and plane.
The three coordinate planes divide the space into _____ parts.
The coordinate planes divide the space into octants.
If the distance betweem the points \( (a ,2,1) \) and \( (1,1, 1) \) is \( 5 \), then \( a \) is________
Given points are and
or
If the midpoints of the sides of a triangle \( AB, BC \) and \( CA \) are \(D (7,3,3) \), \( E (3,2,1) \) and \(F (1,1,4) \), then centroid of \( \triangle ABC \) is________
Given,
In a triangle \( ABC \), the vertices are \( A (3,0,0),\quad B (0,4,0)\quad \text { and }\quad C( 0,4,5) \) then find the coordinate of incentre.
Given,
The distance between two points \( (3,8,10) \) and \( (3,6,8) \) is \( 3 \), then find \( a\).
The locus of a point for which \( y=0 \) and \(z=0 \), is_______
On axis .
So, the locus of the point is equation of axis.
The locus of a point for which \( x=0 \) and \(z=0 \), is_______
On axis .
So, the locus of the point is equation of axis.
The locus of the point for which \( x=0 \) and \( y=0 \) is_______
On axis .
So, the locus of the point is equation of axis.
The locus of a point for which \( x=0 \) is_______
On plane .
Hence the locus of the point is plane.
The locus of a point for which \(y=0 \) is_______
On plane .
Hence the locus of the point is plane.
The locus of a point for which \(z=0 \) is_____
On plane .
Hence the locus of the point is plane.
If \(A(x_1, y_1z_1), \quad B(x_2,y_2,z_2) \text { and } C (x_3,y_3,z_3) \) are coordinates of \(\triangle ABC \) where length of \( \overline{AB}, \overline{BC} \text { and } \overline{CA} \) are \( (2,3,4) \) respectively, then find the coordinate of incentre of \( \triangle ABC \).