Convert the following equations in the general form given by:
$a_{1} x + b_{1} y + c_{1} = 0 a n d$
$a_{2} x + b_{2} y + c_{2} = 0$ ,
and find $a_{1}, b_{2} a n d c_{2}$ respectively.
$4 x + 9 y = 11$
$3 x + 3 y = 0$

3, 3, 11

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3, 3, -11

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4, 3, 0

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4, 3, 11

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Solution

The correct option is C 4, 3, 0
The two equations can be written in the general form as:

$4 x + 9 y - 11 = 0... (i)$

$3 x + 3 y + 0 = 0... (i i)$

Comparing the given equations with
$a_{1} x + b_{1} y + c_{1} = 0 a n d$
$a_{2} x + b_{2} y + c_{2} = 0$ ,
we get,
$a_{1} = 4, b_{1} = 9, c_{1} = - 11, a_{2} = 3, b_{2} = 3 a n d c_{2} = 0$ .

Hence, $a_{1} = 4, b_{2} = 3, c_{2} = 0$

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Similar questions

Q. Convert the following equations in the general form given by:

a_{1} x + b_{1} y + c_{1} = 0 a n d

a_{2} x + b_{2} y + c_{2} = 0

,
and find

a_{1}, b_{2} a n d c_{2}

respectively.

4 x + 9 y = 11

3 x + 3 y = 0

Convert the following equations in the general form given by:
$a_{1} x + b_{1} y + c_{1} = 0 a n d$
$a_{2} x + b_{2} y + c_{2} = 0$ ,
and find $a_{1}, b_{2} a n d c_{2}$ respectively.
(1) 4x + 9y = 11
(2) 3x + 3y = 0

Unique point is obtained for the pair of equations $a_{1}$ x + $b_{1}$ y + $c_{1}$ = 0 and $a_{2}$ x + $b_{2}$ y + $c_{2}$ = 0 if __________ .

Q. If

u = a_{1} x + b_{1} y + c_{1} = 0

and

v = a_{2} x + b_{2} y + c_{2} = 0

and

\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}

, then

u + k v = 0

represents

Q. If

u = a_{1} x + b_{1} y + c_{1} = 0, v = a_{2} x + b_{2} y + c_{2} = 0

and

\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}

, then the curve

u + k v = 0

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Convert the following equations in the general form given by: a1x+b1y+c1=0 and a2x+b2y+c2=0, and find a1,b2 and c2 respectively. 4x+9y=11 3x+3y=0

The correct option is C 4, 3, 0The two equations can be written in the general form as: 4x+9y−11=0...(i) 3x+3y+0=0...(ii) Comparing the given equations with a1x+b1y+c1=0 and a2x+b2y+c2=0, we get, a1=4,b1=9,c1=−11,a2=3,b2=3 and c2=0. Hence, a1=4,b2=3,c2=0

Convert the following equations in the general form given by:
$a_{1} x + b_{1} y + c_{1} = 0 a n d$
$a_{2} x + b_{2} y + c_{2} = 0$ ,
and find $a_{1}, b_{2} a n d c_{2}$ respectively.
$4 x + 9 y = 11$
$3 x + 3 y = 0$