Home
Class 12
MATHS
If P(x, y, z) is a point in the space at...

If P(x, y, z) is a point in the space at a distance r from the origin O, then the direction cosines of the line OP are-

A

`r/x, r/y, r/z`

B

`rx, ry, rz`

C

`x/r, y/r, z/r`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Exercise 3 : Very Short Type Questions|14 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Exercise 3 : Short Answer Type Questions|29 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for competitive Exams ( E Assertion-Reason Type )|1 Videos

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (D comprehension Type)|7 Videos

Similar Questions

Explore conceptually related problems

Write the direction cosines of the line 6x-2=3y+1=2z-4 .

If the equation of a straight line is 6x-2=3y+1=2z-2 , then direction cosines of the line are -

The distance of the line 2x-3y=4 from the point (1,1) in the direction of the line x+y=1 is

A straight line in the zx-plane makes an angle of pi/3 with the z-axis, find the direction cosines of the line.

A,B,C are three points on the axes of x, y and z respectively at distance a, b,c from the origin O, find the co-ordinate of the point which is equidistant from A, B, C and O

A straight line passes throught the point P(3,-2) and makes an angle theta with the positive direction of x - axis Find theta , given that the distance of P from the point of intersection of this line with the line 3x+4y=4 is (3sqrt(2))/(5) units.

A straight line in the yz-plane makes an angle 60^(@) with the positive z-axis. Find the direction cosines of the line.

If the prependicular distance of a plane from the origin is 1 and direction cosines of normal vector of the plane satisfies (1)/(x^(2))+(1)/(y^(2))+(1)/(z^(2))=K where (x,y,z ) is the centroid of the triangle make by intercept point of axis then K equals__

Straight lines OA and OB are drawn from the origin O, if the direction ratios of the lines OA and OB are 1, -1, -1 and 2, -1, 1 respectively then find the direction cosines of the normal to the plane AOB.

Find the equations to the straight lines which are at a distance of 2 unit from the origin and which pass through the point of intersection of the lines 3x+4y=4 and 2x+5y+2=0 .