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class 12
| maths
| 3d coordination system
Solutions for all the questions from class 12
of subject maths
of chapter 3d coordination system
CLASS
class 10
class 11
class 12
class 6
class 7
class 8
class 9
SUBJECT
maths
CHAPTER
3d coordination system
and transformation formulas
application of derivatives
application of integrals
applications of derivatives
area
binary operations
binomial theorem
circles
complex numbers
View All ↓
Class 12
Maths
3D Geometry
3d Coordination System
A line segment joining (1,0,1) and the origin (0,0,0) is resolved about the x-axis to form a right circular cone. If (x,y,z) is any point on the cone, other than the origin, then it satisfies the equation
Class 12
Maths
3D Geometry
3d Coordination System
Three straight lines mutually perpendicular to each other meet in a point P and one of them intersects the x-axis and another intersects the y-axis, while the third line passes through a fixed point(0,0,c) on the z-axis. Then the locus of P is
Class 12
Maths
3D Geometry
3d Coordination System
Given two points A an B. If area of triangle ABC is constant then locus of point C in space is
Class 12
Maths
3D Geometry
3d Coordination System
If
$P(x,y,z)$
is a point on the line segment joining Q(2,2,4) and R(3,5,6) such that the projection of
$OP$
on the axes are
$913 ,519 ,526 $
respectively, then P divides QR in the ratio:
Class 12
Maths
3D Geometry
3d Coordination System
ABCD is a tetrahedron such that each of the
$△ABC$
,
$△ABD$
and
$△ACD$
has a right angle at A. If
$ar(△ABC)=k_{1}.Ar(△ABD)=k_{2},ar(△BCD)=k_{3}$
then
$ar(△ACD)$
is
Class 12
Maths
3D Geometry
3d Coordination System
The direction cosines of a line equally inclined to three mutually perpendiclar lines having direction cosines as
$l_{1},m_{1},n_{1},l_{2},m_{2},n_{2}$
and
$l_{3},m_{3},n_{3}$
are
Class 12
Maths
3D Geometry
3d Coordination System
The angle between the line whose d.c.'s are connected by the relations
$l_{2}+m_{2}−n_{2}=0$
and l+m+n=0 is
Class 12
Maths
3D Geometry
3d Coordination System
$A=⎣⎢⎡ l_{1}l_{2}l_{3} m_{1}m_{2}m_{3} n_{1}n_{2}n_{3} ⎦⎥⎤ $
and
$B=⎣⎢⎡ p_{1}p_{2}p_{3} q_{1}q_{2}q_{3} r_{1}r_{2}r_{3} ⎦⎥⎤ $
Where
$p_{i},q_{i},r_{i}$
are the co-factors of the elements
$l_{i},m_{i},n_{i}$
for
$i=1,2,3$
. If
$(l_{1},m_{1},n_{1}),(l_{2},m_{2},n_{2})$
and
$(l_{3},m_{3},n_{3})$
are the direction cosines of three mutually perpendicular lines then
$(p_{1},q_{1},r_{1}),(p_{2},q_{2},r_{2})$
and
$(p_{3},q_{()},r_{3})$
are
Class 12
Maths
3D Geometry
3d Coordination System
The direction cosines of two lines are connected by relation
$l+m+n=0$
and 4l is the harmonic mean between m and n.
Then,
Class 12
Maths
3D Geometry
3d Coordination System
The volume of a right triangular prism ABC
$A_{1}B_{1}C_{1}$
is equal to 3 cubic unit. Then the co-ordinates of the vertex
$A_{1}$
,if the co-ordinates of the base vertices of the prism are A(1,0,1), B(2,0,0) and C(0,1,0), are
1
2
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class 12
| maths
| 3d coordination system
Solutions for all the questions from class 12
of subject maths
of chapter 3d coordination system
Filter Results
CLASS
class 10
class 11
class 12
class 6
class 7
class 8
class 9
SUBJECT
maths
CHAPTER
3d coordination system
and transformation formulas
application of derivatives
application of integrals
applications of derivatives
area
binary operations
binomial theorem
circles
complex numbers
View All ↓
Class 12
Maths
3D Geometry
3d Coordination System
A line segment joining (1,0,1) and the origin (0,0,0) is resolved about the x-axis to form a right circular cone. If (x,y,z) is any point on the cone, other than the origin, then it satisfies the equation
Class 12
Maths
3D Geometry
3d Coordination System
Three straight lines mutually perpendicular to each other meet in a point P and one of them intersects the x-axis and another intersects the y-axis, while the third line passes through a fixed point(0,0,c) on the z-axis. Then the locus of P is
Class 12
Maths
3D Geometry
3d Coordination System
Given two points A an B. If area of triangle ABC is constant then locus of point C in space is
Class 12
Maths
3D Geometry
3d Coordination System
If
$P(x,y,z)$
is a point on the line segment joining Q(2,2,4) and R(3,5,6) such that the projection of
$OP$
on the axes are
$913 ,519 ,526 $
respectively, then P divides QR in the ratio:
Class 12
Maths
3D Geometry
3d Coordination System
ABCD is a tetrahedron such that each of the
$△ABC$
,
$△ABD$
and
$△ACD$
has a right angle at A. If
$ar(△ABC)=k_{1}.Ar(△ABD)=k_{2},ar(△BCD)=k_{3}$
then
$ar(△ACD)$
is
Class 12
Maths
3D Geometry
3d Coordination System
The direction cosines of a line equally inclined to three mutually perpendiclar lines having direction cosines as
$l_{1},m_{1},n_{1},l_{2},m_{2},n_{2}$
and
$l_{3},m_{3},n_{3}$
are
Class 12
Maths
3D Geometry
3d Coordination System
The angle between the line whose d.c.'s are connected by the relations
$l_{2}+m_{2}−n_{2}=0$
and l+m+n=0 is
Class 12
Maths
3D Geometry
3d Coordination System
$A=⎣⎢⎡ l_{1}l_{2}l_{3} m_{1}m_{2}m_{3} n_{1}n_{2}n_{3} ⎦⎥⎤ $
and
$B=⎣⎢⎡ p_{1}p_{2}p_{3} q_{1}q_{2}q_{3} r_{1}r_{2}r_{3} ⎦⎥⎤ $
Where
$p_{i},q_{i},r_{i}$
are the co-factors of the elements
$l_{i},m_{i},n_{i}$
for
$i=1,2,3$
. If
$(l_{1},m_{1},n_{1}),(l_{2},m_{2},n_{2})$
and
$(l_{3},m_{3},n_{3})$
are the direction cosines of three mutually perpendicular lines then
$(p_{1},q_{1},r_{1}),(p_{2},q_{2},r_{2})$
and
$(p_{3},q_{()},r_{3})$
are
Class 12
Maths
3D Geometry
3d Coordination System
The direction cosines of two lines are connected by relation
$l+m+n=0$
and 4l is the harmonic mean between m and n.
Then,
Class 12
Maths
3D Geometry
3d Coordination System
The volume of a right triangular prism ABC
$A_{1}B_{1}C_{1}$
is equal to 3 cubic unit. Then the co-ordinates of the vertex
$A_{1}$
,if the co-ordinates of the base vertices of the prism are A(1,0,1), B(2,0,0) and C(0,1,0), are
1
2
Previous
page
1 / 1
You're on page
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page
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