हिंदी

For Every Point P (X, Y, Z) on the X-axis (Except the Origin), (A) X = 0, Y = 0, Z ≠ 0 (B) X = 0, Z = 0, Y ≠ 0 (C) Y = 0, Z = 0, X ≠ 0 (D) X = Y = Z = 0

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प्रश्न

For every point P (xyz) on the x-axis (except the origin),

विकल्प

  •  x = 0, y = 0, z ≠ 0

  •  x = 0, z = 0, y ≠ 0

  • y = 0, z = 0, x ≠ 0

  • x = y = z = 0

MCQ
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उत्तर

y=0, z = 0, x  0              

Both Y and Z coordinates on each point of the xaxis are equal to zero. The Xcoordinate on the origin is also equal to zero.Therefore, the Y and Z coordinates on each point of the xaxis, except the origin, are equal to zero, while the Xcoord

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अध्याय 26: Direction Cosines and Direction Ratios - MCQ [पृष्ठ २५]

APPEARS IN

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

संबंधित प्रश्न

If a line makes angles 90°, 135°, 45° with the X, Y, and Z axes respectively, then its direction cosines are _______.

(A) `0,1/sqrt2,-1/sqrt2`

(B) `0,-1/sqrt2,-1/sqrt2`

(C) `1,1/sqrt2,1/sqrt2`

(D) `0,-1/sqrt2,1/sqrt2`


If a line has the direction ratios −18, 12, −4, then what are its direction cosines?


If a line has direction ratios 2, −1, −2, determine its direction cosines.


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).


What are the direction cosines of X-axis?


What are the direction cosines of Y-axis?


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.


Write the angle between the lines whose direction ratios are proportional to 1, −2, 1 and 4, 3, 2.


Write the distance of the point P (xyz) from XOY plane.


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


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.


For every point P (xyz) on the xy-plane,

 


The distance of the point P (abc) from the x-axis is 


Ratio in which the xy-plane divides the join of (1, 2, 3) and (4, 2, 1) is


If O is the origin, OP = 3 with direction ratios proportional to −1, 2, −2 then the coordinates of P are


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


 Find the equation of the lines passing through the point (2, 1, 3) and perpendicular to the lines


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

`4/3, 0, 3/4`


Find the direction cosines and direction ratios for the following vector

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


Find the direction cosines and direction ratios for the following vector

`3hat"i" + hat"j" + hat"k"`


Find the direction cosines and direction ratios for the following vector

`hat"i" - hat"k"`


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


If (a, a + b, a + b + c) is one set of direction ratios of the line joining (1, 0, 0) and (0, 1, 0), then find a set of values of a, b, c


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


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


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 ______.


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 ______.


The projections of a vector on the three coordinate axis are 6, –3, 2 respectively. The direction cosines of the vector are ______.


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


Find the coordinates of the foot of the perpendicular drawn from point (5, 7, 3) to the line `(x - 15)/3 = (y - 29)/8 = (z - 5)/-5`.


A directed line makes angles \[\alpha\], \[\beta\], and \[\gamma\] with the positive x-, y-, and z-axes respectively. What are these angles called?


If \[\alpha\], \[\beta\], and \[\gamma\] are the direction angles of a line, which ordered triple gives its direction cosines?


Any three numbers proportional to the direction cosines of a line are called its:


For direction ratios \[(a,b,c)\], which set can represent the corresponding direction cosines when the direction of the line is chosen?


For points \[P(x_1,y_1,z_1)\] and \[Q(x_2,y_2,z_2)\], which expression gives \[PQ\]?


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