हिंदी

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

Advertisements
Advertisements

प्रश्न

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

विकल्प

  • (2, 0, 0)

  • (0, 5, 0)

  • (0, 0, 7)

  • (0, 5, 7)

MCQ
रिक्त स्थान भरें
Advertisements

उत्तर

The coordinates of the foot of the perpendicular drawn from the point (2, 5, 7) on the x-axis are given by (2, 0, 0).

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Introduction to Three Dimensional Geometry - Solved Examples [पृष्ठ २३२]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 12 Introduction to Three Dimensional Geometry
Solved Examples | Q 14 | पृष्ठ २३२

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Coordinate planes divide the space into ______ octants.


Name the octants in which the following points lie: (5, 2, 3)


Name the octants in which the following points lie: 

(–5, –3, –2) 


Name the octants in which the following points lie:

 (2, –5, –7) 


Name the octants in which the following points lie: 

(–7, 2 – 5)


Find the image  of: 

 (–5, 0, 3) in the xz-plane. 


Find the image  of: 

 (–4, 0, 0) in the xy-plane. 


Determine the point on z-axis which is equidistant from the points (1, 5, 7) and (5, 1, –4).


Prove that the point A(1, 3, 0), B(–5, 5, 2), C(–9, –1, 2) and D(–3, –3, 0) taken in order are the vertices of a parallelogram. Also, show that ABCD is not a rectangle.


Find the coordinates of the point which is equidistant  from the four points O(0, 0, 0), A(2, 0, 0), B(0, 3, 0) and C(0, 0, 8).


If A(–2, 2, 3) and B(13, –3, 13) are two points.
Find the locus of a point P which moves in such a way the 3PA = 2PB.


Find the locus of P if PA2 + PB2 = 2k2, where A and B are the points (3, 4, 5) and (–1, 3, –7).


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


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?


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


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


If the direction ratios of a line are 1, 1, 2, find the direction cosines of the line.


If a line makes an angle of 30°, 60°, 90° with the positive direction of x, y, z-axes, respectively, then find its direction cosines.


The x-coordinate of a point on the line joining the points Q(2, 2, 1) and R(5, 1, –2) is 4. Find its z-coordinate.


Find the coordinates of the point where the line through (3, – 4, – 5) and (2, –3, 1) crosses the plane passing through three points (2, 2, 1), (3, 0, 1) and (4, –1, 0)


Find the co-ordinates of the foot of perpendicular drawn from the point A(1, 8, 4) to the line joining the points B(0, –1, 3) and C(2, –3, –1).


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


If a line makes angles `pi/2, 3/4 pi` and `pi/4` with x, y, z axis, respectively, then its direction cosines are ______.


If a line makes angles α, β, γ with the positive directions of the coordinate axes, then the value of sin2α + sin2β + sin2γ is ______.


Find the equations of the two lines through the origin which intersect the line `(x - 3)/2 = (y - 3)/1 = z/1` at angles of `pi/3` each.


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 equation of the plane through the points (2, 1, –1) and (–1, 3, 4), and perpendicular to the plane x – 2y + 4z = 10.


If the directions cosines of a line are k, k, k, then ______.


The area of the quadrilateral ABCD, where A(0, 4, 1), B(2,  3, –1), C(4, 5, 0) and D(2, 6, 2), is equal to ______.


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


The vector equation of the line `(x - 5)/3 = (y + 4)/7 = (z - 6)/2` is ______.


The cartesian equation of the plane `vecr * (hati + hatj - hatk)` is ______.


The intercepts made by the plane 2x – 3y + 5z +4 = 0 on the co-ordinate axis are `-2, 4/3, - 4/5`.


If the foot of perpendicular drawn from the origin to a plane is (5, – 3, – 2), then the equation of plane is `vecr.(5hati - 3hatj - 2hatk)` = 38.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×