Co-ordinate of a Point in Space
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Three Dimensional Geometry

121085 If a point \(P\) on the line segment joining the points \((3,5,-1)\) and \((6,3,-2)\) has its \(y\) coordinate 2 , then its \(z\)-coordinate is

1 \(\frac{17}{3}\)
2 \(\frac{3}{17}\)
3 \(\frac{2}{15}\)
4 \(\frac{-5}{2}\)
MHT CET-2020
Three Dimensional Geometry

121086 If a line in octant \(\mathrm{OXYZ}\) makes equal angles with the coordinate axes, then

1 \(\ell=\mathrm{m}=\mathrm{n}=-\frac{1}{3}\)
2 \(\ell=\mathrm{m}=\mathrm{n}=\frac{1}{\sqrt{3}}\)
3 \(\ell=\mathrm{m}=\mathrm{n}=\frac{1}{3}\)
4 \(\ell=\mathrm{m}=\mathrm{n}=\frac{1}{3}\)
MHT CET-2020
Three Dimensional Geometry

121088 The two vertices of a triangle are \((4,2,1)\) and \((5,1,4)\). If the centroid is \((5,2,3)\) then the third vertex is

1 \((3,4,5)\)
2 \((6,2,3)\)
3 \((6,3,2)\)
4 \((6,3,4)\)
COMEDK-2018
Three Dimensional Geometry

121089 A perpendicular is drawn from a point \((1,6,3)\) to the line \(\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}\). The coordinates of the foot of perpendicular is:

1 \((1,3,5)\)
2 \((0,3,-2)\)
3 \((2,4,-5)\)
4 \((1,3,4)\)
AMU-2019
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Three Dimensional Geometry

121085 If a point \(P\) on the line segment joining the points \((3,5,-1)\) and \((6,3,-2)\) has its \(y\) coordinate 2 , then its \(z\)-coordinate is

1 \(\frac{17}{3}\)
2 \(\frac{3}{17}\)
3 \(\frac{2}{15}\)
4 \(\frac{-5}{2}\)
MHT CET-2020
Three Dimensional Geometry

121086 If a line in octant \(\mathrm{OXYZ}\) makes equal angles with the coordinate axes, then

1 \(\ell=\mathrm{m}=\mathrm{n}=-\frac{1}{3}\)
2 \(\ell=\mathrm{m}=\mathrm{n}=\frac{1}{\sqrt{3}}\)
3 \(\ell=\mathrm{m}=\mathrm{n}=\frac{1}{3}\)
4 \(\ell=\mathrm{m}=\mathrm{n}=\frac{1}{3}\)
MHT CET-2020
Three Dimensional Geometry

121088 The two vertices of a triangle are \((4,2,1)\) and \((5,1,4)\). If the centroid is \((5,2,3)\) then the third vertex is

1 \((3,4,5)\)
2 \((6,2,3)\)
3 \((6,3,2)\)
4 \((6,3,4)\)
COMEDK-2018
Three Dimensional Geometry

121089 A perpendicular is drawn from a point \((1,6,3)\) to the line \(\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}\). The coordinates of the foot of perpendicular is:

1 \((1,3,5)\)
2 \((0,3,-2)\)
3 \((2,4,-5)\)
4 \((1,3,4)\)
AMU-2019
NEET DIGITAL LIBRARY
Three Dimensional Geometry

121085 If a point \(P\) on the line segment joining the points \((3,5,-1)\) and \((6,3,-2)\) has its \(y\) coordinate 2 , then its \(z\)-coordinate is

1 \(\frac{17}{3}\)
2 \(\frac{3}{17}\)
3 \(\frac{2}{15}\)
4 \(\frac{-5}{2}\)
MHT CET-2020
Three Dimensional Geometry

121086 If a line in octant \(\mathrm{OXYZ}\) makes equal angles with the coordinate axes, then

1 \(\ell=\mathrm{m}=\mathrm{n}=-\frac{1}{3}\)
2 \(\ell=\mathrm{m}=\mathrm{n}=\frac{1}{\sqrt{3}}\)
3 \(\ell=\mathrm{m}=\mathrm{n}=\frac{1}{3}\)
4 \(\ell=\mathrm{m}=\mathrm{n}=\frac{1}{3}\)
MHT CET-2020
Three Dimensional Geometry

121088 The two vertices of a triangle are \((4,2,1)\) and \((5,1,4)\). If the centroid is \((5,2,3)\) then the third vertex is

1 \((3,4,5)\)
2 \((6,2,3)\)
3 \((6,3,2)\)
4 \((6,3,4)\)
COMEDK-2018
Three Dimensional Geometry

121089 A perpendicular is drawn from a point \((1,6,3)\) to the line \(\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}\). The coordinates of the foot of perpendicular is:

1 \((1,3,5)\)
2 \((0,3,-2)\)
3 \((2,4,-5)\)
4 \((1,3,4)\)
AMU-2019
Join With Us for More Updates
Three Dimensional Geometry

121085 If a point \(P\) on the line segment joining the points \((3,5,-1)\) and \((6,3,-2)\) has its \(y\) coordinate 2 , then its \(z\)-coordinate is

1 \(\frac{17}{3}\)
2 \(\frac{3}{17}\)
3 \(\frac{2}{15}\)
4 \(\frac{-5}{2}\)
MHT CET-2020
Three Dimensional Geometry

121086 If a line in octant \(\mathrm{OXYZ}\) makes equal angles with the coordinate axes, then

1 \(\ell=\mathrm{m}=\mathrm{n}=-\frac{1}{3}\)
2 \(\ell=\mathrm{m}=\mathrm{n}=\frac{1}{\sqrt{3}}\)
3 \(\ell=\mathrm{m}=\mathrm{n}=\frac{1}{3}\)
4 \(\ell=\mathrm{m}=\mathrm{n}=\frac{1}{3}\)
MHT CET-2020
Three Dimensional Geometry

121088 The two vertices of a triangle are \((4,2,1)\) and \((5,1,4)\). If the centroid is \((5,2,3)\) then the third vertex is

1 \((3,4,5)\)
2 \((6,2,3)\)
3 \((6,3,2)\)
4 \((6,3,4)\)
COMEDK-2018
Three Dimensional Geometry

121089 A perpendicular is drawn from a point \((1,6,3)\) to the line \(\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}\). The coordinates of the foot of perpendicular is:

1 \((1,3,5)\)
2 \((0,3,-2)\)
3 \((2,4,-5)\)
4 \((1,3,4)\)
AMU-2019
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