मराठी

The Perpendicular Distance of the Point P(3, 3,4) from the X-axis is - Mathematics

Advertisements
Advertisements

प्रश्न

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

पर्याय

  • \[3\sqrt{2}\]

  • 5

  •  3

  •  4

MCQ
Advertisements

उत्तर

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

\[\sqrt{3^2 + 4^2}\]
\[ = \sqrt{25}\]
\[ = 5\] 

Hence, the correct answer is option (b)

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 28: Introduction to three dimensional coordinate geometry - Exercise 28.5 [पृष्ठ २३]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 11
पाठ 28 Introduction to three dimensional coordinate geometry
Exercise 28.5 | Q 14 | पृष्ठ २३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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


Coordinate planes divide the space into ______ octants.


Three vertices of a parallelogram ABCD are A (3, –1, 2), B (1, 2, –4) and C (–1, 1, 2). Find the coordinates of the fourth vertex.


Name the octants in which the following points lie: 

(–5, –4, 7) 


Name the octants in which the following points lie: 

(–5, –3, –2) 


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


Determine the points in zx-plane are equidistant from the points A(1, –1, 0), B(2, 1, 2) and C(3, 2, –1). 


Find the point on y-axis which is equidistant from the points (3, 1, 2) and (5, 5, 2).


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.


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


Are the points A(3, 6, 9), B(10, 20, 30) and C(25, –41, 5), the vertices of a right-angled triangle?


Verify the following: 

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


Find the equation of the set of the points P such that its distances from the points A(3, 4, –5) and B(–2, 1, 4) are equal.


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


The coordinates of the mid-points of sides AB, BC and CA of  △ABC are D(1, 2, −3), E(3, 0,1) and F(−1, 1, −4) respectively. Write the coordinates of its centroid.


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


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


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


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


The perpendicular distance of the point P (6, 7, 8) from xy - plane is


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


The length of the perpendicular drawn from the point P(a, b, c) from z-axis is 


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 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.


Two systems of rectangular axis have the same origin. If a plane cuts them at distances a, b, c and a′, b′, c′, respectively, from the origin, prove that

`1/a^2 + 1/b^2 + 1/c^2 = 1/(a"'"^2) + 1/(b"'"^2) + 1/(c"'"^2)`


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.


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


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×