Home
Class 12
MATHS
If the lines represented by 2x^2-5xy+2y^...

If the lines represented by `2x^2-5xy+2y^2=0` be the sides of a parallelogram and the line `5x+2y=1 ` be one of its diagonal. Find the equation of the other diagonal, and area of the parallelogram .

Text Solution

Verified by Experts

The correct Answer is:
`=2xx1/2|1/6xx2/9-1/9xx1/(12)|=1/(36) "sq units"`
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 2|10 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

If the lines ax^2+2hxy+by^2=0 be two sides of a parallelogram and the line lx+my=1 be one of its diagonal, show that the equation of the other diagonal is y (bl-hm)=x(am-hl).

The consecutive sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0. If the equation of one of the diagonals is 11 x + 7y = 9, find the equation of the other diagonal.

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

A field in the form of a parallelogram has sides 60 m and 40 m and one of its diagonals is 80 m long. Find the area of te parallelogram.

The ends of a side of a parallelogram are (2,5,-3),(3,7,-5) and its diagonals meet in (4,3,3). Find the remaining vertices of the parallelogram.

The sides of a square are x=2,x=3,y=1andy=2 . Find the equation of the circle drawn on the diagonals of the square as its diameter.

Two sides of a square lie on the lines x+y-1=0 and x+y+2 then its area is:

Adjacent sides of a parallelogram are given by the vectors 2hati-hatj+2hatk and hati+5hatj-hatk .Find a unit vector in the direction of its diagonal.Also find the area of parallelogram.

Adjacent sides of a parallelogram are given by the vectors 2hati+hatj+hatk and hati+5hatj+hatk .Find a unit vector in the direction of its diagonal.Also find the area of parallelogram.

The two adjacent sides of a parallelogram are given by the vectors 2hati-4hatj+5hatk and hati-2hatj-3hatk Find a unit vector parallel to its diagonal (longer). Also find the area of parallelogram.