Home
Class 12
MATHS
The joint equation of lines passing thro...

The joint equation of lines passing through the origin and trisecting the first quadrant is

A

`x^2+sqrt(3)xy-y^2=0`

B

`x^2-sqrt(3)xy-y^2=0`

C

`sqrt(3)x^2-4xy+sqrt(3)y^2=0`

D

`3x^2-y^2=0`

Text Solution

Verified by Experts

The correct Answer is:
C
In a trisection of lines in quadrant , angle `90^@` is divided into three parts and each part contain `30^@`.
`therefore` Equation of line AB is `y=tan30^(@) x rArr y=(1)/(sqrt(3))x`
`x-sqrt(3)y=0`
And equation of line AC is `y=tan60^@ x rArr y=sqrt(3)x`
`(sqrt(3)x-y)=0`
`therefore` Combined equation is `(x-sqrt(3)y)(sqrt(3)x-y=0`
`rArr sqrt(3)x^2-xy-3xy+sqrt(3)y^2=0`
`rArr sqrt(3)x^2-4xy+sqrt(3)y^2=0`
Promotional Banner

Topper's Solved these Questions

  • PAIR OR STRAIGHT LINES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Excercise 2 (MISCELLANEOUS PROBLEMS)|85 Videos

  • MOCK TEST 5

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

  • PLANE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|9 Videos

Similar Questions

Explore conceptually related problems

The joint equation of lines passing through the origin and trisecting the second and fourth quadrant is

The joint equation of lines passing through the origin and bisecting the angles between co-ordinate axes is

Write down the equation of line passing through origin.

D.E. of lines, passing through the origin, is

The joint equation of lines passing through the origin and perpendicular to lines represented by x^(2)+xy-y^(2)=0 is

The joint equation of lines passing through the origin and perpendicular to lines represented by 5x^(2)+2xy-3y^(2)=0 is

The joint equation of lines passing through the origin and perpendicular to lines represented by x^(2)+4xy-5y^(2)=0 is

The joint equation of lines passing through the origin and perpendicular to lines represented by 2x^(2)-3xy-9y^(2)=0 is

The equation of a line passing through origin and having slope m is