On plotting the points O(0,0), A(3,0), B(3,4) | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The coordinates of the vertices are $O(0,0), A(3,0), B(3,4)$,and $C(0,4)$.Calculating the lengths of the sides using the distance formula $d = \sq

Vedclass · Accepted Answer

Rectangle

Vedclass · Answer

(B) The coordinates of the vertices are $O(0,0), A(3,0), B(3,4)$,and $C(0,4)$.Calculating the lengths of the sides using the distance formula $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$:$OA = \sqrt{(3-0)^2 + (0-0)^2} = \sqrt{3^2} = 3$ units.$AB = \sqrt{(3-3)^2 + (4-0)^2} = \sqrt{4^2} = 4$ units.$BC = \sqrt{(0-3)^2 + (4-4)^2} = \sqrt{(-3)^2} = 3$ units.$CO = \sqrt{(0-0)^2 + (0-4)^2} = \sqrt{(-4)^2} = 4$ units.Since opposite sides are equal ($OA = BC = 3$ units and $AB = CO = 4$ units) and the adjacent sides are perpendicular (as they lie along the axes),the figure $OABC$ is a rectangle.

On plotting the points $O(0,0), A(3,0), B(3,4)$,and $C(0,4)$ and joining $OA, AB, BC$,and $CO$,which of the following figures is obtained?

Similar Questions

Write whether the following statements are True or False. Justify your answer.
$(i)$ Point $(0, -2)$ lies on the $y$-axis.
$(ii)$ The perpendicular distance of the point $(4, 3)$ from the $x$-axis is $4$.

In which quadrant does a point lie if its $x$-coordinate is negative and the $y$-coordinate is positive?

In which quadrant does a point lie if its coordinates have opposite signs?

Write the coordinates of each of the points $P, Q, R, S, T$ and $O$ from the given figure.

If $(2a + 5, 3b + 2)$ and $(a + 11, b + 14)$ are coordinates of the same point,then the values of $a$ and $b$ are $\ldots$ respectively.

Vedclass Test Series

Exam Paper Generator

Online Exam Module