Home
Class 11
MATHS
The adjacent sides of a parallelogram ar...

The adjacent sides of a parallelogram are `2x^(2)-5xy+3y^(2)=0` and one diagonal is x + y + 2 = 0. Find the vertices and the other diagonal.

Text Solution

Verified by Experts

The correct Answer is:
`(0,0),((-6)/(5),(-4)/(5)),((-11)/(5),(-9)/(5)),(-1,-1): 9x-11y=0`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -5.2 VERY SHORT ANSWER QUESTIONS|13 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -5.2 LONG ANSWER QUESTIONS|19 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise EXERCISE -5.1 SHORT ANSWER QUESTIONS|12 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

Two adjacent sides of a parallelogram are given by 4x+5y=0, 7x+2y=0 and one diagonal is 11x+7y=9 . Find the equations of the remaining sides and the other diagonal.

(-4,5) is a vertex of a square and one of its diagonals is 7x-y+8=0 . Find the equation of a the other diagonal.

The sides of a parallelogram are given by 2x^(2)-5xy+2y^(2)=0 and 2x^(2)-4xy+2y^(2)+3x+3y-9=0 then the equation of the diagonal not passing through the origin is

If two of the sides of a parallelogram are represented by ax^2+2hxy+by^2=0" and "pq+qy=1 is one of its diagonals, prove that the other diagonal is y(bp-hq)=x(aq-hp) .

The sides of a parallelogram are given by 6x^(2)+7xy+2y^(2)=0 and 6x^(2)+7xy+2y^(2)-5x-3y+1=0 , then the equation of the diagonal not passing through the origin is