The graphs of 2x-3y-6-0- 4x-3y-6-0- x-2 and y-23 intersect in

The correct option is C one pointSolving 2x + 3y 6 = 0 and 4x 3y 6 = 0 we getx = 2 and #160; y=2/3 Hence from all the four given equations thevalue ...

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Standard X

Mathematics

Graphical Method of Finding Solution of a Pair of Linear Equations

The graphs of...

Question

The graphs of $2 x + 3 y - 6 = 0, 4 x - 3 y - 6 = 0, x = 2$ and $y = \frac{2}{3}$ intersect in

four points

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one point

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in no points

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infinite number of points

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Solution

The correct option is C one point
Solving 2x + 3y - 6 = 0 and 4x - 3y - 6 = 0 we get
x = 2 and $y = \frac{2}{3}$
Hence from all the four given equations the
value of x is 2 and y is $\frac{2}{3}$
Therefore the graphs of all the four lines intersect
in one point

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Similar questions

Q. The graphs of

2 x + 3 y - 6 = 0, 4 x - 3 y - 6 = 0, x = 2, a n d y = \frac{2}{3}

intersect in:

Q. The graphs of

2 x + 3 y - 6 = 0

and

4 x - 3 y - 6 = 0

x = 2

and

y = \frac{2}{3}

intersects in

Q. If

p_{1}, p_{2}, p_{3}

denote the distance of the plane

2 x - 3 y + 4 z + 2 = 0

from the planes

2 x - 3 y + 4 z + 6 = 0, 4 x - 6 y + 8 z + 3 = 0

and

2 x - 3 y + 4 z - 6 = 0

respectively, then

Q. If

P_{1}, P_{2}, P_{3}

denotes the perpendicular distances of the plane

2 x - 3 y + 4 z + 2 = 0

from the parallel planes

2 x - 3 y + 4 z + 6 = 0, 4 x - 6 y + 8 z + 3 = 0

and

2 x - 3 y + 4 z - 6 = 0

respectively, then

Q. The point of intersection of

2 x + 3 y = 6, x - y = 3

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The graphs of 2x+3y−6=0,4x−3y−6=0,x=2 and y=23 intersect in

The correct option is C one pointSolving 2x + 3y - 6 = 0 and 4x - 3y - 6 = 0 we getx = 2 and y=23Hence from all the four given equations thevalue of x is 2 and y is 23Therefore the graphs of all the four lines intersectin one point

The graphs of $2 x + 3 y - 6 = 0, 4 x - 3 y - 6 = 0, x = 2$ and $y = \frac{2}{3}$ intersect in

The correct option is C one point
Solving 2x + 3y - 6 = 0 and 4x - 3y - 6 = 0 we get
x = 2 and $y = \frac{2}{3}$
Hence from all the four given equations the
value of x is 2 and y is $\frac{2}{3}$
Therefore the graphs of all the four lines intersect
in one point