if the points (x y) (2 3) and (-3 4)are collinear then
Answers
Answer:
hey this is the answer
Step-by-step explanation:
Given:
\text{The points (x,y), (2,3) and (-3,4)}The points (x,y), (2,3) and (-3,4)
\textbf{To find:}To find:
\text{The relation connecting x and y}The relation connecting x and y
\textbf{Solution:}Solution:
\text{We know that}We know that
\textbf{Slope of the line joining $\bf(x_1,y_1)$ and $\bf(x_2,y_2)$ is $\bf\dfrac{y_2-y_1}{x_2-x_1}$}Slope of the line joining (x
1
,y
1
) and (x
2
,y
2
) is
x
2
−x
1
y
2
−y
1
\text{Let the given points be A(x,y), B(2,3) and C(-3,4)}Let the given points be A(x,y), B(2,3) and C(-3,4)
\text{Since the points are collinear, we have}Since the points are collinear, we have
\text{Slope of AB=Slope of BC}Slope of AB=Slope of BC
\dfrac{3-y}{2-x}=\dfrac{4-3}{-3-2}
2−x
3−y
=
−3−2
4−3
\dfrac{3-y}{2-x}=\dfrac{1}{-5}
2−x
3−y
=
−5
1
-5(3-y)=2-x−5(3−y)=2−x
-15+5y=2-x−15+5y=2−x
\text{Rearranging terms, we get}Rearranging terms, we get
\bf\,x+5y-17=0x+5y−17=0
\therefore\textbf{The required relation is x+5y-17=0}∴The required relation is x+5y-17=0
Find more:
If (a,0) (b,0) (1,1) are these three points in a line than find the value of 1/a + 1/b = ?
Step-by-step explanation:
IF THREE GIVEN POINTS ARE COLLINEAR THEN,
X1 ( Y2 - Y3 ) + X2 ( Y3 - Y1 ) + X3 ( Y1 - Y2 ) = 0
WHERE ,
X1 = X , X2 = 2 , X3 = -3
Y1 = y , Y2 = 3 , Y3 = 4
THE VALUE ABOVE MENTIONED IS ONLY FOR THIS QUESTION