English

The x-axis and y-axis taken together determine a plane known as_______.

Advertisements
Advertisements

Question

The x-axis and y-axis taken together determine a plane known as_______.

Fill in the Blanks
Advertisements

Solution

The x-axis and y-axis taken together determine a plane known as XY -plane.

shaalaa.com
  Is there an error in this question or solution?
Chapter 11: Introduction to Three Dimensional Geometry - EXERCISE 11.1 [Page 211]

APPEARS IN

NCERT Mathematics [English] Class 11
Chapter 11 Introduction to Three Dimensional Geometry
EXERCISE 11.1 | Q 4 (i) | Page 211

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Name the octants in which the following points lie:

 (2, –5, –7) 


Find the image  of: 

 (–5, 0, 3) in the xz-plane. 


Planes are drawn through the points (5, 0, 2) and (3, –2, 5) parallel to the coordinate planes. Find the lengths of the edges of the rectangular parallelepiped so formed. 


Find the distances of the point P(–4, 3, 5) from the coordinate axes. 


Show that the points A(3, 3, 3), B(0, 6, 3), C(1, 7, 7) and D(4, 4, 7) are the vertices of a square.


Verify the following: 

 (0, 7, –10), (1, 6, –6) and (4, 9, –6) are vertices of an isosceles triangle. 


Find the locus of the points which are equidistant from the points (1, 2, 3) and (3, 2, –1).


Find the ratio in which the sphere x2 + y2 z2 = 504 divides the line joining the points (12, –4, 8) and (27, –9, 18).


Write the distance of the point P (2, 3,5) from the xy-plane.


Write the length of the perpendicular drawn from the point P(3, 5, 12) on x-axis.


What is the locus of a point for which y = 0, z = 0?


Find the ratio in which the line segment joining the points (2, 4,5) and (3, −5, 4) is divided by the yz-plane.


Find the point on x-axis which is equidistant from the points A (3, 2, 2) and B (5, 5, 4).


Let (3, 4, –1) and (–1, 2, 3) be the end points of a diameter of a sphere. Then, the radius of the sphere is equal to 


XOZ-plane divides the join of (2, 3, 1) and (6, 7, 1) in the ratio


The coordinates of the foot of the perpendicular drawn from the point P(3, 4, 5) on the yz- plane are


The length of the perpendicular drawn from the point P (3, 4, 5) on y-axis is 


The perpendicular distance of the point P(3, 3,4) from the x-axis is 


Find the direction cosines of the line passing through the points P(2, 3, 5) and Q(–1, 2, 4).


A plane meets the co-ordinates axis in A, B, C such that the centroid of the ∆ABC is the point (α, β, γ). Show that the equation of the plane is `x/alpha + y/beta + z/γ` = 3


Find the image of the point having position vector `hati + 3hatj + 4hatk` in the plane `hatr * (2hati - hatj + hatk)` + 3 = 0.


The coordinates of the foot of the perpendicular drawn from the point (2, 5, 7) on the x-axis are given by ______.


A line makes equal angles with co-ordinate axis. Direction cosines of this line are ______.


Prove that the lines x = py + q, z = ry + s and x = p′y + q′, z = r′y + s′ are perpendicular if pp′ + rr′ + 1 = 0.


Find the angle between the lines whose direction cosines are given by the equations l + m + n = 0, l2 + m2 – n2 = 0


If a variable line in two adjacent positions has direction cosines l, m, n and l + δl, m + δm, n + δn, show that the small angle δθ between the two positions is given by δθ2 = δl2 + δm2 + δn2


Find the foot of perpendicular from the point (2,3,–8) to the line `(4 - x)/2 = y/6 = (1 - z)/3`. Also, find the perpendicular distance from the given point to the line.


Find the equations of the line passing through the point (3,0,1) and parallel to the planes x + 2y = 0 and 3y – z = 0.


If l1, m1, n1 ; l2, m2, n2 ; l3, m3, n3 are the direction cosines of three mutually perpendicular lines, prove that the line whose direction cosines are proportional to l1 + l2 + l3, m1 + m2 + m3, n1 + n2 + n3 makes equal angles with them.


The locus represented by xy + yz = 0 is ______.


The direction cosines of the vector `(2hati + 2hatj - hatk)` are ______.


The angle between the line `vecr = (5hati - hatj - 4hatk) + lambda(2hati - hatj + hatk)` and the plane `vec.(3hati - 4hatj - hatk)` + 5 = 0 is `sin^-1(5/(2sqrt(91)))`.


The angle between the planes `vecr.(2hati - 3hatj + hatk)` = 1 and `vecr.(hati - hatj)` = 4 is `cos^-1((-5)/sqrt(58))`.


The line `vecr = 2hati - 3hatj - hatk + lambda(hati - hatj + 2hatk)` lies in the plane `vecr.(3hati + hatj - hatk) + 2` = 0.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×