Home
Class 12
MATHS
Direction cosines of the line (x+2)/(2)=...

Direction cosines of the line `(x+2)/(2)=(2y-5)/(3),z=-1` are

A

`4/5,3/5,0`

B

`3/5,4/5,1/5`

C

`-(3)/(5),(4)/(5),0`

D

`4/5,-2/5,1/5`

Text Solution

Verified by Experts

The correct Answer is:
A
Given equation of line is `(x+2)/(2)=(2y-5)/(3),z+1=0`
or `(x+2)/(2)=(y-(5)/(2))/((3)/(2)),z+1=0`
Hence, DR's of a line are `lt 2 , 3/2, 0gt`
Now, `sqrt(2^(2)+((3)/(2))^(2)+0)=sqrt(4+(9)/(4))=sqrt(25/4)=5/2`
`therefore` DC's of the lines are `lt (2)/(5//2), (3//2)/(5//2), 0 gt or lt 4/5, 3/5, 0 gt `
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LINE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 2(Miscellaneous Problems)|30 Videos

  • INTEGRATION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|30 Videos

  • Linear Programming

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|13 Videos

Similar Questions

Explore conceptually related problems

Find the direction cosines of teh line (x-2)/(2)=(2y-5)/(-3),z=-1. Also,find the vector equation of the line.

Write the direction cosines of the line (x-2)/2=(2y-5)/(-3),\ z=2.

Knowledge Check

  • The direction cosines of the line x = y = z are

    A
    `(1)/(sqrt(3)),(1)/(sqrt(3)),(1)/(sqrt(3))`
    B
    `(1)/(3),(1)/(3),(1)/(3)`
    C
    `1,1,1`
    D
    `(2)/(sqrt(3)),(2)/(sqrt(3)),(2)/(sqrt(3))`

    • Similar Questions

    Explore conceptually related problems

    Find the direction cosines of the line ( x + 2 ) /(2) = ( 2 y - 5) /( 3 ) , z = - 1

    Find the direction cosines of the line (x+2)/(2)=(2y-7)/(6)=(5-z)/(6). Also,find the vector equation of the line through the point A(-1,2,3) and parallel to the given line.

    Find the direction cosines of the line (4-x)/(2)=(y)/(6) =(1-z)/(3)

    Find the direction cosines of the line (x+2)/2=(2y-7)/6=(1-z)/(-3) . Also, find the vector equation of the line through the point A(-1,\ 2,\ 3) and parallel to the given line.

    The direction-cosines of the line: (x-1)/(2)=-y=(z+1)/(2) are ___________.

    Find the direction cosines of the line (4-x)/2=y/6=(1-z)/3dot Also, reduce it to vector form.

    Find the direction-cosines of the line (x - 1)/(2) = - y = (z + 1)/(2)

    Home
    Profile