Miscellaneous 3-D Problems
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Three Dimensional Geometry

121437 Which statement is true for the line \(\frac{x-4}{8}=\frac{y-2}{2}=\frac{z-3}{3}\) and plane having intercepts \(-4,2\) and 3 of the following?

1 line is orthogonal to the plane
2 line lies in the plane
3 line makes an acute angle \(\left(\neq 0^{\circ}\right)\) with the plane
4 none of these
AMU-2018
Three Dimensional Geometry

121438 If the extremities of diagonal of a square \((1,-2,3)\)\& \((2,-3,5)\), then the length of its side, is

1 \(\sqrt{6}\)
2 \(\sqrt{3}\)
3 \(\sqrt{5}\)
4 \(\sqrt{7}\)
AP EAMCET-2001
Three Dimensional Geometry

121442 If the points \((2,4,-1),(3,6,-1)\) and \((4,5,1)\) are three consecutive vertices of a parallelogram, then its fourth vertex is \(\qquad\)

1 \((3,3,1)\)
2 \((3,1,3)\)
3 \((1,3,3)\)
4 \((0,0,0)\)
AP EAMCET-19.08.2021
Three Dimensional Geometry

121443 X-intercept of the plane containing the line of intersection of the planes \(x-2 y+z+2=0\) and \(3 x-y-z+1=0\) and also passing through (1, 1 , 1) is

1 \(\frac{1}{3}\)
2 2
3 \(\frac{1}{2}\)
4 \(\frac{1}{4}\)
AP EAMCET-19.08.2021
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Three Dimensional Geometry

121437 Which statement is true for the line \(\frac{x-4}{8}=\frac{y-2}{2}=\frac{z-3}{3}\) and plane having intercepts \(-4,2\) and 3 of the following?

1 line is orthogonal to the plane
2 line lies in the plane
3 line makes an acute angle \(\left(\neq 0^{\circ}\right)\) with the plane
4 none of these
AMU-2018
Three Dimensional Geometry

121438 If the extremities of diagonal of a square \((1,-2,3)\)\& \((2,-3,5)\), then the length of its side, is

1 \(\sqrt{6}\)
2 \(\sqrt{3}\)
3 \(\sqrt{5}\)
4 \(\sqrt{7}\)
AP EAMCET-2001
Three Dimensional Geometry

121442 If the points \((2,4,-1),(3,6,-1)\) and \((4,5,1)\) are three consecutive vertices of a parallelogram, then its fourth vertex is \(\qquad\)

1 \((3,3,1)\)
2 \((3,1,3)\)
3 \((1,3,3)\)
4 \((0,0,0)\)
AP EAMCET-19.08.2021
Three Dimensional Geometry

121443 X-intercept of the plane containing the line of intersection of the planes \(x-2 y+z+2=0\) and \(3 x-y-z+1=0\) and also passing through (1, 1 , 1) is

1 \(\frac{1}{3}\)
2 2
3 \(\frac{1}{2}\)
4 \(\frac{1}{4}\)
AP EAMCET-19.08.2021
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Three Dimensional Geometry

121437 Which statement is true for the line \(\frac{x-4}{8}=\frac{y-2}{2}=\frac{z-3}{3}\) and plane having intercepts \(-4,2\) and 3 of the following?

1 line is orthogonal to the plane
2 line lies in the plane
3 line makes an acute angle \(\left(\neq 0^{\circ}\right)\) with the plane
4 none of these
AMU-2018
Three Dimensional Geometry

121438 If the extremities of diagonal of a square \((1,-2,3)\)\& \((2,-3,5)\), then the length of its side, is

1 \(\sqrt{6}\)
2 \(\sqrt{3}\)
3 \(\sqrt{5}\)
4 \(\sqrt{7}\)
AP EAMCET-2001
Three Dimensional Geometry

121442 If the points \((2,4,-1),(3,6,-1)\) and \((4,5,1)\) are three consecutive vertices of a parallelogram, then its fourth vertex is \(\qquad\)

1 \((3,3,1)\)
2 \((3,1,3)\)
3 \((1,3,3)\)
4 \((0,0,0)\)
AP EAMCET-19.08.2021
Three Dimensional Geometry

121443 X-intercept of the plane containing the line of intersection of the planes \(x-2 y+z+2=0\) and \(3 x-y-z+1=0\) and also passing through (1, 1 , 1) is

1 \(\frac{1}{3}\)
2 2
3 \(\frac{1}{2}\)
4 \(\frac{1}{4}\)
AP EAMCET-19.08.2021
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Three Dimensional Geometry

121437 Which statement is true for the line \(\frac{x-4}{8}=\frac{y-2}{2}=\frac{z-3}{3}\) and plane having intercepts \(-4,2\) and 3 of the following?

1 line is orthogonal to the plane
2 line lies in the plane
3 line makes an acute angle \(\left(\neq 0^{\circ}\right)\) with the plane
4 none of these
AMU-2018
Three Dimensional Geometry

121438 If the extremities of diagonal of a square \((1,-2,3)\)\& \((2,-3,5)\), then the length of its side, is

1 \(\sqrt{6}\)
2 \(\sqrt{3}\)
3 \(\sqrt{5}\)
4 \(\sqrt{7}\)
AP EAMCET-2001
Three Dimensional Geometry

121442 If the points \((2,4,-1),(3,6,-1)\) and \((4,5,1)\) are three consecutive vertices of a parallelogram, then its fourth vertex is \(\qquad\)

1 \((3,3,1)\)
2 \((3,1,3)\)
3 \((1,3,3)\)
4 \((0,0,0)\)
AP EAMCET-19.08.2021
Three Dimensional Geometry

121443 X-intercept of the plane containing the line of intersection of the planes \(x-2 y+z+2=0\) and \(3 x-y-z+1=0\) and also passing through (1, 1 , 1) is

1 \(\frac{1}{3}\)
2 2
3 \(\frac{1}{2}\)
4 \(\frac{1}{4}\)
AP EAMCET-19.08.2021
For More Updates join with Us
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