True or False of these 2 questions :
5) The rots were given a fair price for cultivating Indigo.
6) The Gonds used a plough to dig the land and mix ashes with soil.
plz answer fast who will answer I will mark as brainlist and thanks him
Answers
Answer:
A linear equation is simply a first degree equation of the form a_1x_1+a_2x_2+a_3x_3+\,\dots\,+a_nx_n+b=0a
1
x
1
+a
2
x
2
+a
3
x
3
+…+a
n
x
n
+b=0 where x_ix
i
are variables and b,\ a_ib, a
i
are real constants, may or may not be zero, for all i=1,\ 2,\ 3,\,\dots\,,\ n.i=1, 2, 3,…, n.
The linear equations of the form Ax+By+C=0Ax+By+C=0 can represent straight lines in the Cartesian plane having slope -\dfrac{A}{B}−
B
A
and y intercept -\dfrac{C}{B}.−
B
C
.
\longrightarrow Ax+By+C=0⟶Ax+By+C=0
\longrightarrow \dfrac{A}{B}x+y+\dfrac{C}{B}=0⟶
B
A
x+y+
B
C
=0
\longrightarrow y=-\dfrac{A}{B}x-\dfrac{C}{B}⟶y=−
B
A
x−
B
C
Comparing with slope - intercept equation of a straight line we get the slope is -\dfrac{A}{B}−
B
A
and y intercept is -\dfrac{C}{B}.−
B
C
.
Two examples are given below.
(1) x+5y+3=0x+5y+3=0
This equation represents a straight line having slope -\dfrac{1}{5}−
5
1
and y intercept -\dfrac{3}{5}.−
5
3
. [Fig. (1)]
(2) 2x+4y-7=02x+4y−7=0
This equation represents a straight line having slope -\dfrac{2}{4}=-\dfrac{1}{2}−
4
2
=−
2
1
and y intercept \dfrac{7}{4}.
4
7
. [Fig. (2)]
The lines parallel to x axis have the equation of the form y=ky=k for some real constant k,k, because such a line passes through all points having same y coordinate that is k.k.
Two examples are given.
(1) y=3y=3
This equation represents a straight line parallel to x axis and passing through all points having y coordinate 3. [Fig. (3)]
(2) y=-5y=−5
This equation represents a straight line parallel to x axis and passing through all points having y coordinate -5. [Fig. (3)]
The lines parallel to y axis have the equation of the form x=kx=k for some real constant k,k, because such a line passes through all points having same x coordinate that is k.k.
Two examples are given.
(1) x=3x=3
This equation represents a straight line parallel to y axis and passing through all points having x coordinate 3. [Fig. (4)]
(2) x=-5x=−5
This equation represents a straight line parallel to y axis and passing through all points having x coordinate -5. [Fig. (4)]