State whether the following statement is true | vedclass

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

Question

(TRUE) True.Analytical Justification:$1$. The points $A (-4, 6)$ and $B (-4, -6)$ have the same $x$-coordinate,which is $-4$. This means the line segm

Vedclass · Accepted Answer

Vedclass · Answer

(TRUE) True.Analytical Justification:$1$. The points $A (-4, 6)$ and $B (-4, -6)$ have the same $x$-coordinate,which is $-4$. This means the line segment $AB$ is a vertical line represented by the equation $x = -4$.$2$. The point $P (-4, 2)$ also has an $x$-coordinate of $-4$,so it lies on the line $x = -4$.$3$. For $P$ to lie on the line segment $AB$,its $y$-coordinate must be between the $y$-coordinates of $A$ and $B$. The $y$-coordinates of $A$ and $B$ are $6$ and $-6$ respectively.$4$. Since $-6 < 2 < 6$,the point $P$ lies between $A$ and $B$ on the line segment $AB$.

State whether the following statement is true or false. Justify your answer.
Point $P (-4, 2)$ lies on the line segment joining the points $A (-4, 6)$ and $B (-4, -6)$.

Similar Questions

Given points $A(3, 4)$ and $B(5, -2)$. Find the point $P(x, y)$ on the plane such that $PA = PB$ and the area of $\Delta PAB = 10$.

The vertices of $\Delta ABC$ are $A(3, 4)$,$B(0, 0)$,and $C(6, 0)$. Then the length of the median $\overline{AD}$ is:

The points $A(9,0), B(9,6), C(-9,6)$ and $D(-9,0)$ are the vertices of a

The triangle with the vertices $(1, 1)$, $(-1, -1)$, and $(-\sqrt{3}, \sqrt{3})$ is $\ldots \ldots \ldots$ triangle.

The area of a triangle with vertices $A (3,0), B (7,0)$ and $C (8,4)$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module

State whether the following statement is true or false. Justify your answer.Point $P (-4, 2)$ lies on the line segment joining the points $A (-4, 6)$ and $B (-4, -6)$.