Home
Class 11
MATHS
Show that two pairs of two straight line...

Show that two pairs of two straight lines `6x^(2)- 5xy – 6y^(2) = 0` and `6x^(2)- 5xy -6y^(2)+ x +5y -1= 0` form a square

Text Solution

Verified by Experts

The correct Answer is:
`2x-3y=0` and `2x-3y+1=0` of the rectangle. Hence the rectangle is a square.
Promotional Banner

Topper's Solved these Questions

  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(a) I. |4 Videos

  • PAIR OF STRAIGHT LINES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE - 4(a) II. |16 Videos

  • MATRICES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |45 Videos

  • PRODUCT OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|46 Videos

Similar Questions

Explore conceptually related problems

If the pair of lines 6x^(2)-5xy-6y^(2)=0, 6x^(2)-5xy-6y^(2)+x+5y-1=0 form a square then area of square is

The figure formed by the pairs of lines 6x^(2) + 13xy + 6y^(2) = 0 and 6x^(2) + 13xy +6y^(2)+ 10x + 10y + 4 = 0 is a

If the pairs of lines 3x^(2)-5xy+py^(2)=0 and 6x^(2)-xy-5y^(2)=0 have one line in common, then P=

The pair of lines 2x^(2)+3xy+5y^(2)=0 and 4x^(2)+21xy+25y^(2)=0 are

The area of the square formed by lines 6x^2-5xy-6y^2=0 and 6x^2-5xy-6y^2+x+5y-1=0 in sq. units is

Show that the pair of lines 3x^(2)-5xy+2y^(3)=0 9x^(2)-25xy+4y^(2)=0 are equally inclined to each other.

If the pair of lines 6x^(2)+xy-y^(2)=0 and 3x^(2)-axy-y^(2)=0,a gt 0 have a common line, then a =