मराठी

Answer Each of the Following Questions in One Word Or One Sentence Or as per Exact Requirement of the Question: Write the Distance of a Point P(A, B, C) from X-axis.

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प्रश्न

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:
Write the distance of a point P(abc) from x-axis.

बेरीज
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उत्तर

We know that a general point (xyz) has distance \[\sqrt{y^2 + z^2}\]  from the x-axis.

∴ Distance of a point P(abc) from x-axis = \[\sqrt{b^2 + c^2}\]

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पाठ 26: Direction Cosines and Direction Ratios - Very Short Answers [पृष्ठ २५]

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आर.डी. शर्मा Mathematics Volume 1 and 2 [English] Class 12
पाठ 26 Direction Cosines and Direction Ratios
Very Short Answers | Q 20 | पृष्ठ २५

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

Find the direction cosines of the line perpendicular to the lines whose direction ratios are -2, 1,-1 and -3, - 4, 1 


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`


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.


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 lines whose direction ratios are proportional to abc and b − cc − aa− b.


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


Find the angle between the lines whose direction cosines are given by the equations
(i) m + n = 0 and l2 + m2 − n2 = 0


Find the angle between the lines whose direction cosines are given by the equations

2l − m + 2n = 0 and mn + nl + lm = 0


Define direction cosines of a directed line.


Write the ratio in which YZ-plane divides the segment joining P (−2, 5, 9) and Q (3, −2, 4).


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 ratio in which the line segment joining (abc) and (−a, −c, −b) is divided by the xy-plane.


Write the inclination of a line with Z-axis, if its direction ratios are proportional to 0, 1, −1.


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 x-axis (except the origin),


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


Ratio in which the xy-plane divides the join of (1, 2, 3) and (4, 2, 1) 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 O is the origin, OP = 3 with direction ratios proportional to −1, 2, −2 then the coordinates of P are


The direction ratios of the line which is perpendicular to the lines with direction ratios –1, 2, 2 and 0, 2, 1 are _______.


Find the direction cosines of a vector whose direction ratios are

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


Find the direction cosines and direction ratios for the following vector

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


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


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 direction cosines of vector `(2hat"i" + 2hat"j" - hat"k")` are ______.


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 ______.


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 ______.


Which proportion correctly expresses the relationship between direction ratios \[(a,b,c)\] and direction cosines \[(l,m,n)\]?


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


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