Home
Class 11
MATHS
Find the centriod and hence find the are...

Find the centriod and hence find the area of the triangle formed by the following lines
`2y^(2)-xy-6x^(2)=0 x+y+4=0`

Text Solution

Verified by Experts

The correct Answer is:
`((20)/(9),(-44)/(9)), (56)/(3)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE - 4.2 ( SHORT ANSWER QUESTIONS)|5 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE - 4.2 ( LONG ANSWER QUESTIONS)|21 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE - 4.1 (SHORT ANSWER QUESTIONS)|14 Videos

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

Similar Questions

Explore conceptually related problems

Find the centriod and hence find the area of the triangle formed by the following lines 3x^(2)-4xy+y^(2)=0, 2x-y=6

Find the centriod and hence find the area of the triangle formed by the following lines 12x^(2)-20xy+7y^(2)=0, 2x-3y+4=0

Knowledge Check

  • The orthocentre of the triangle formed by the lines x+y= and 2y^2-xy-6x^2=0 is

    A
    `((4)/(3),(4)/(3))`
    B
    `(2)/(3),(2)/(3))`
    C
    `((2)/(3),(-2)/(3))`
    D
    `((4)/(3),(-4)/(3))`

  • the orthocentre of the triangle formed by the lines x+y = 1 and 2y^(2)-xy-6x^(2)=0 is

    A
    `((4)/(3),(4)/(3))`
    B
    `((2)/(3),(2)/(3))`
    C
    `((2)/(3),(-2)/(3))`
    D
    `((4)/(3),(-4)/(3))`

    • Similar Questions

    Explore conceptually related problems

    Find the centroid and the area of the triangle formed by the following lines . 2y^(2)-xy-6x^(2)=0,x+y+4=0

    Find the centroid and the area of the triangle formed by the following lines . 3x^(2)-4xy+y^(2)=0,2x-y=6

    Find the centroid and the area of the triangle formed by the lines 2y^2-xy-6x^2=0,x+y+4=0

    Find the area of the triangle formed by the lines y=x,y=2x,y=3x+4

    Find the area of the triangle formed by the lines x^(2)-4xy+y^(2)=0 and x+y=1

    Find the nature of the triangle of formed by the lines x^(2)-3y^(2)=0 and x=2 .

    Home
    Profile