Home
Class 12
MATHS
Find the equations of the diagonals of t...

Find the equations of the diagonals of the square formed by the lines `x=o,y=0,x=1a n dy=1.`

A

y=x,y+x=1

B

y=x,x+y=2

C

2y = x,y+x = 1/3

D

y=2x,y+2x =1

Text Solution

Verified by Experts

The correct Answer is:
A

The coordinates of the vertices of the square are A(0,0), B(0,1), C(1,1) and D(1,0).
Now, the equation of AC is
y=x
and that of BD is `y-1=-(1)/(2)(x-0)`
or x+y=1
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise EXERCISE (MULTIPLE CORRECT ANSWERS TYPE)|30 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise EXERCISE (LINKED COMPREHENSION TYPE)|27 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 2.6|5 Videos

  • STRAIGHT LINE

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|8 Videos

  • THEORY OF EQUATIONS

    CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the diagonals of the square formed by the lines x=0,y=0,x=1 and y=1.

The equation of the diagonal of the square formed by the pairs of lines xy +4x - 3y - 12 = 0 and xy - 3x +4 y - 12 = 0 is

Knowledge Check

  • Equations of diagonals of the square formed by the lines x=0,y=0,x=1 and y=1 are

    A
    `y=x,x+y=2`
    B
    `2y=x,y+x=1/3`
    C
    `y=x,y+x=1`
    D
    `y=2x,y+2x=1`

    • Similar Questions

    Explore conceptually related problems

    The equation of the diagonal through origin of the quadrilateral formed by the lines x = 0, y = 0, x + y - 1 = 0 and 6x + y - 3= 0, is

    Find the equation of the circle which circumscribes the triangle formed by the lines x=0,\ y=0\ a n d\ l x+m y=1.

    Write the coordinates of the orthocentre of the triangle formed by the lines x y=0\ a n d\ x+y=1.

    Find the area of triangle formed by the lines : y=0,\ x=2\ a n d\ x+2y=3.

    Find the equation of the circle circumscribing the triangle formed by the lines x + y + 1 = 0, 3 x + y - 5 = 0, and 2 x + y - 4 = 0.

    Find the equations of the diagonals of a rectangle whose sides are x + 1 = 0, x - 4 = 0, y + 1 = 0 and y - 2 = 0.

    Prove that the diagonals of the parallelogram formed by the lines sqrt(3)x+y=0, sqrt(3) y+x=0, sqrt(3) x+y=1 and sqrt(3) y+x=1 are at right angles.

    Home
    Profile