Ncert Solutions for Class 12 Chapter 11 Three Dimentional Geometry Video Solution

Monday, 17 November 2014

Ncert Solutions for Class 12 Chapter 11 Three Dimentional Geometry Video Solution

Ncert Solutions for Class 12 Chapter 11 Three Dimentional Geometry Video Solution
 
Introduction and formulas of Three Dimentional Geometery
3 dimensional geometry class 12 formulas direction cosine and condition of parallel lines
1  
Exercise 11.1
If a line makes angles 90°, 135°, 45° with the x, y and z axes respectively, find its direction cosi
2   Find the direction cosines of a line which makes equal angles with the coordinate axes
3-4   Solution of Question 3 and 4 Exercise 11 1 maths class 12
5   Find the direction cosines of the sides of the triangle whose vertices are 3, 5, – 4, – 1, 1, 2 and
 
All Formulas and Basics of Exercise 11.2
vector and cartesian equation of line passing throgh two point, one point and parallel to given vect
  Angle between two lines when cartesian or vector equations given and condition for parallel or perpe
  Skew lines, angle between akew lines and perperndicular distance or shortest distance between skew l
1  
Exercise 11.2
Show that the three lines with direction cosines are mutually perpendicular
2   Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perpendicular
3   Show that the line through the points is parallel to the line through the points
4   Find the equation of the line which passes through the point (1, 2, 3) and is parallel to the
5   Find the equation of the line in vector and in cartesian form that passes through the point with pos
6   Find the cartesian equation of the line which passes through the point – 2, 4, – 5 and parallel to t
7   Ncert solutions for class 12 maths chapter 11 Cartesian equation of a line given write vector form
8   Find the vector and the cartesian equations of the lines that passes through the origin and 5, – 2,
10   mathematics video chapter 11 3D geometry Find the angle between vector equations of lines
11   Find the angle between the Cartesian equations of lines
12   Find the values of p so that the lines are at right angles
13   Find the shortest distance between two vector equation s of lines
14   Find the shortest distance between two Cartesian equations of lines
15   ncert solution for class 12 chapter 11 three dimensional geometry
 
All basic formulas and definitions of exercise 11.3 Plane
vector equation of plane | through a point whose position vector is given or direction ratio
  Equation of a plane passing through three non collinear points
  Vector equation of a plane that passes through the intersection of planes
  condition of coplanarity of the plane
  angle between lines and a plane , how to calculate
1  
Exercise 10.3
How to determine the direction cosines of the normal to the plane and the distance from the origin
2   Find the vector equation of a plane which is at a distance of 7 units from the origin and normal to
3   How to find the Cartesian equation of the following planes ncert solutions
4   find the distance of each of the given points from the corresponding giv
9   Find the equation of the plane through the intersection of the planes 3x – y + 2z – 4 = 0 and x +
10   Find the vector equation of the plane passing through the intersection of the planes and through
11   Find the equation of the plane through the line of intersection of the planes x + y + z = 1 and
12   Find the angle between the planes whose vector equations are
13   Determine whether the 7x + 5y + 6z + 30 = 0 and 3x – y – 10z + 4 = 0 are parallel or perpendicular
13   ncert solution for class 12 maths chapter 11 3d geometry
14   mathematics solution for class 12 chapter 11
1  
Miscellaneous Exercise
Show that the line joining the origin to the point 2, 1, 1 is perpendicular to the line determine
3   (Question 2 is given at botoom )
Find the angle between the lines whose direction ratios are a, b, c and b – c, c – a, a – b.
4   Find the equation of a line parallel to x axis and passing through the origin
5   If the coordinates of the points A, B, C, D be respectively, then find the angle between the lines
6   If the lines are perpendicular, find the value of k
7   Find the vector equation of the line passing through 1, 2, 3 and perpendicular to the plane
8   Find the equation of the plane passing through a, b, c and parallel to the plane
9   Find the shortest distance between lines and Online classes cbse board
10   Find the coordinates of the point where the line through (5, 1, 6) and (3, 4,1) crosses the YZ-plane
13   Find the equation of the plane passing through the point and perpendicular to each of the planes
14   If the points (1, 1, p) and (– 3, 0, 1) be equidistant from the plane then find the value of p.
15   Find the equation of the plane passing through the line of intersection of the planes and parall
16   If O be the origin and the coordinates of P be then find the equation of the plane pa
17   Find the equation of the plane which contains the line of intersection of the planes and which i
18   Find the distance of the point from the point of intersection of the line and the plane
19   Find the vector equation of the line passing through and parallel to the planes and
20   Find the vector equation of the line passing through the point and perpendicular to the two lines
21   Prove that if a plane has the intercepts a, b, c and is at a distance of p units from the origin
22   Distance between the two planes 2x + 3y + 4z = 4 and 4x + 6y + 8z = 12 is A 2 units B 4 units C
Imp   The planes 2x – y + 4z = 5 and 5x – 2 5y + 10z = 6 are A Perpendicular B Parallel C intersect y
2   If l1, m1, n1 and l2, m2, n2 are the direction cosines of two mutually perpendicular lines, show
Imp   cbse board question maths class 12 Find the image of coordinate of the image of the point 1,3,4 in t
Imp   Example 26 A line makes angles a, ß, γ and d with the diagonals of a cube, prove that cos^ 2a + c

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