मराठी

For Every Point P (X, Y, Z) on the Xy-plane, (A) X = 0 (B) Y = 0 (C) Z = 0 (D) X = Y = Z = 0

Advertisements
Advertisements

प्रश्न

For every point P (x, y, z) on the xy-plane,

 

पर्याय

  •  x = 0

  •  y = 0

  • z = 0

  •  x = y = z = 0

MCQ
Advertisements

उत्तर

z = 0
            
The Z-coordinate of every point on the XY-plane is zero.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 26: Direction Cosines and Direction Ratios - MCQ [पृष्ठ २५]

APPEARS IN

आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 26 Direction Cosines and Direction Ratios
MCQ | Q 1 | पृष्ठ २५

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

Which of the following represents direction cosines of the line :

(a)`0,1/sqrt2,1/2`

(b)`0,-sqrt3/2,1/sqrt2`

(c)`0,sqrt3/2,1/2`

(d)`1/2,1/2,1/2`


Write the direction ratios of the following line :

`x = −3, (y−4)/3 =( 2 −z)/1`


Find the direction cosines of the sides of the triangle whose vertices are (3, 5, −4), (−1, 1, 2) and (−5, −5, −2).


Find the angle between the vectors with direction ratios proportional to 1, −2, 1 and 4, 3, 2.


Find the acute angle between the lines whose direction ratios are proportional to 2 : 3 : 6 and 1 : 2 : 2.


Show that the line through points (4, 7, 8) and (2, 3, 4) is parallel to the line through the points (−1, −2, 1) and (1, 2, 5).


Show that the line through the points (1, −1, 2) and (3, 4, −2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).


Find the direction cosines of the lines, connected by the relations: l + m +n = 0 and 2lm + 2ln − mn= 0.


Write the distance of the point (3, −5, 12) from X-axis?


A line makes an angle of 60° with each of X-axis and Y-axis. Find the acute angle made by the line with Z-axis.


Find the distance of the point (2, 3, 4) from the x-axis.


If a unit vector  `vec a` makes an angle \[\frac{\pi}{3} \text{ with } \hat{i} , \frac{\pi}{4} \text{ with }  \hat{j}\] and an acute angle θ with \[\hat{ k} \] ,then find the value of θ.


If a line makes angles 90° and 60° respectively with the positive directions of x and y axes, find the angle which it makes with the positive direction of z-axis.


If the x-coordinate of a point P on the join of Q (2, 2, 1) and R (5, 1, −2) is 4, then its z-coordinate is


The distance of the point P (a, b, c) from the x-axis is 


If P (3, 2, −4), Q (5, 4, −6) and R (9, 8, −10) are collinear, then R divides PQ in the ratio


If a line makes angles α, β, γ, δ with four diagonals of a cube, then cos2 α + cos2 β + cos2γ + cos2 δ is equal to


Verify whether the following ratios are direction cosines of some vector or not

`1/sqrt(2), 1/2, 1/2`


Find the direction cosines of a vector whose direction ratios are
0, 0, 7


Find the direction cosines and direction ratios for the following vector

`3hat"i" - 4hat"j" + 8hat"k"`


A triangle is formed by joining the points (1, 0, 0), (0, 1, 0) and (0, 0, 1). Find the direction cosines of the medians


If `1/2, 1/sqrt(2), "a"` are the direction cosines of some vector, then find a


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.


If α, β, γ are the angles that a line makes with the positive direction of x, y, z axis, respectively, then the direction cosines of the line are ______.


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


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.


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 ______.


Find the direction cosine of a line which makes equal angle with coordinate axes.


The co-ordinates of the point where the line joining the points (2, –3, 1), (3, –4, –5) cuts the plane 2x + y + z = 7 are ______.


The d.c's of a line whose direction ratios are 2, 3, –6, are ______.


A line passes through the points (6, –7, –1) and (2, –3, 1). The direction cosines of the line so directed that the angle made by it with positive direction of x-axis is acute, are ______.


If two straight lines whose direction cosines are given by the relations l + m – n = 0, 3l2 + m2 + cnl = 0 are parallel, then the positive value of c is ______.


Equation of line passing through origin and making 30°, 60° and 90° with x, y, z axes respectively, is ______.


If the equation of a line is x = ay + b, z = cy + d, then find the direction ratios of the line and a point on the line.


Equation of a line passing through point (1, 2, 3) and equally inclined to the coordinate axis, is ______.


If a line makes angles of 90°, 135° and 45° with the x, y and z axes respectively, then its direction cosines are ______.


If a line makes an angle α, β and γ with positive direction of the coordinate axes, then the value of sin2α + sin2β + sin2γ will be ______.


Which identity must be satisfied by the direction cosines \[(l,m,n)\] of a line?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×