The equation of the diagonal of the rectangle OABC formed by $x = 0, y = 0, x = 2, y = 1$ can be

y = 2 x

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 y = x

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

3 y = x

No worries! We‘ve got your back. Try BYJU‘S free classes today!

none of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $2 y = x$
Since, the rectangle is drawn between $x$ =0, $y$ =0, $x$ =2, $y$ =1.
So, the coordinates of four corners of rectangle are O(0,0), A(1,0), C(1,1) and D(0,1).
So, the equation of diagonal of OB will be
$y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1}) y - 0 = \frac{1 - 0}{2 - 0} (x - 0) x = 2 y$
So, correct answer is option B.

Suggest Corrections

Similar questions

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

(a) y = x, y = x + 1

(b) y = x, x + y = 2

(c)

2 y = x, x + y = \frac{1}{3}

(d) y = 2x, y = 2x + 1

The sides of a rectangle are $x = 0, y = 0, x = 4, y = 3$ . The equation of the straight line having slope $\frac{1}{2}$ that divides the rectangle into two equal halves, is

Q. Solve the following systems of linear inequations graphically:

(i) 2x + 3y ≤ 6, 3x + 2y ≤ 6, x ≥ 0, y ≥ 0
(ii) 2x + 3y ≤ 6, x + 4y ≤ 4, x ≥ 0, y ≥ 0
(iii) x − y ≤ 1, x + 2y ≤ 8, 2x + y ≥ 2, x ≥ 0, y ≥ 0
(iv) x + y ≥ 1, 7x + 9y ≤ 63, x ≤ 6, y ≤ 5, x ≥ 0, y ≥ 0
(v) 2x + 3y ≤ 35, y ≥ 3, x ≥ 2, x ≥ 0, y ≥ 0

Q. Find the equation of the circle which circumscribes the triangle formed by the lines
(i) x + y + 3 = 0, x − y + 1 = 0 and x = 3
(ii) 2x + y − 3 = 0, x + y − 1 = 0 and 3x + 2y − 5 = 0
(iii) x + y = 2, 3x − 4y = 6 and x − y = 0.
(iv) y = x + 2, 3y = 4x and 2y = 3x.

Q. The equations of the sides AB, BC and CA of ∆ ABC are y − x = 2, x + 2y = 1 and 3x + y + 5 = 0 respectively. The equation of the altitude through B is
(a) x − 3y + 1 = 0
(b) x − 3y + 4 = 0
(c) 3x − y + 2 = 0
(d) none of these

Join BYJU'S Learning Program

The equation of the diagonal of the rectangle OABC formed by x=0, y=0, x=2, y=1 can be

The equation of the diagonal of the rectangle OABC formed by $x = 0, y = 0, x = 2, y = 1$ can be