Home
Class 12
MATHS
The direction consines of a line which l...

The direction consines of a line which lies in XZ-plane and making an angle of `30^(@)` with positive Z-axis are : a)`pm(1)/(2),0,pm(sqrt(3))/(2)` b)`pm(sqrt(3))/(2),0,pm(1)/(2)` c)`pm(1)/(2),0,pm(sqrt(3))/(4)` d)`pm(sqrt(3))/(4),0,pm(1)/(2)`

A

`pm(1)/(2),0,pm(sqrt(3))/(2)`

B

`pm(sqrt(3))/(2),0,pm(1)/(2)`

C

`pm(1)/(2),0,pm(sqrt(3))/(4)`

D

`pm(sqrt(3))/(4),0,pm(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If a line lies in the octant OXYZ and it makes equal angles with the axes, then: a) l=m=n=(1)/(sqrt(3)) b) l=m=n=pm(1)/(sqrt(3)) c) l=m=n=-(1)/(sqrt(3)) d) l=m=n=pm(1)/(sqrt(2))

Find the direction cosines of the line which is perpendicular to the lines with direction ratios 4, 1, 3 and 2, -3, 1 . a) (1)/(sqrt(3)),(1)/(5sqrt(3)),(-7)/(5sqrt(3)) b) (5)/(sqrt(3)),(1)/(sqrt(3)),(7)/(5) c) (2)/(sqrt(3)),(5)/(2sqrt(3)),(1)/(7sqrt(3)) d) (1)/(sqrt(3)),(2)/(sqrt(3)),(-1)/(sqrt(3))

The direction cosines of a line which is perpendicular to both the lines whose direction ratios are 1,-1,0 and 2,-1,1 are: a) -1,-1,1 b) (-1)/(sqrt(3)),(-1)/(sqrt(3)),(1)/(sqrt(3)) c) 1,-1,-1 d) (1)/(sqrt(3)),(-1)/(sqrt(3)),(-1)/(sqrt(3))

Find the direction cosines of a vector vecr which is equally inclined with OX,OY and OZ where O is origin. a) 1,1,1 b) -(4)/(sqrt(3)),-(4)/(sqrt(3)),-(4)/(sqrt(3)) c) pm((1)/(sqrt(3)),(1)/(sqrt(3)),(1)/(sqrt(3))) d) -(1)/(sqrt(2)),-(1)/(sqrt(2)),-(1)/(sqrt(2))

The sum of the direction cosines of a line which makes equal angles with the positive direction of co-ordinate axes is: a) 3 b) 1 c) sqrt3 d) 3/sqrt2

The direction ratios of a line perpendicular to lines whose direction ratios are 2,1,-3and1,-2,1 are: a) -5,-5,-5 b) (5)/(sqrt(3)),(5)/(sqrt(3)),(5)/(sqrt(3)) c) -(1)/(sqrt(3)),-(1)/(sqrt(3)),-(1)/(sqrt(3)) d) -(1)/(3),-(1)/(3),-(1)/(3)

If the direction ratios of a line are proportional to 1,-3,2 then its direction cosines are: a) (1)/(sqrt(14)),(-3)/(sqrt(14)),(2)/(sqrt(14)) b) (1)/(sqrt(14)),(3)/(sqrt(14)),(2)/(sqrt(14)) c) (-1)/(sqrt(14)),(3)/(sqrt(14)),(-2)/(sqrt(14)) d) (-1)/(sqrt(14)),(-3)/(sqrt(14)),(-2)/(sqrt(14))

A line makes an angle of 30^@ with the positive direction of X-axis.so the slope of the line is…..a) 1/ 2 b) sqrt 3/ 2 c) 1/ sqrt 3 d) sqrt 3

The direction cosines of AB if A-=(2,-3,1)and B-=(14,5,-3) are: a) (3)/(sqrt(14)),(2)/(sqrt(14)),(1)/(sqrt(14)) b) (3)/(sqrt(14)),-(2)/(sqrt(14)),-(1)/(sqrt(14)) c) -(3)/(sqrt(14)),-(1)/(sqrt(14)),(2)/(sqrt(14)) d) (3)/(sqrt(14)),(2)/(sqrt(14)),-(1)/(sqrt(14))

The direction ratios of the diagonal of a cube which joins the origin to the opposite corner are (where the three concurrent edges of the cube are coordinate axes): a) (2)/(sqrt(3)),(2)/(sqrt(3)),(1)/(sqrt(3)) b) 1,1,1 c) 2,-2,1 d) 1,2,3