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