Question

Write any four solution of the equation-2x+4=0. Also draw the graph​

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10th

Maths

Pair of Linear Equations in Two Variables

Introduction to Pair of Linear Equations in Two Variables

Draw the graph of the pair ...

MATHS

Draw the graph of the pair of equations 2x+y=4 and 2x−y=4 write the vertices of the triangle formed by these lines and the y-axis .also find the area of this triangle.

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ANSWER

2x+y=4...(i)

⇒y=4−2x

If x=0,y=4−2(0)=4−0=4

x=1,y=4−2(1)=4−2=2

x=2,y=4−2(2)=4−4=0

x 0 1 2 3

y 4 2 0 −2

(i) A B C −2

2x−y=4...(ii)

⇒y=2x−4

If x=0,y=2(0)−4=0−4=−4

x=1,y=2(1)−4=2−4=−2

x=2,y=2(2)−4=4−4=0

x 0 1 2 3 4

y −4 −2 0 2 4

(ii) E F G H I

triangle formed by the lines with y -axis ΔAEC coordinates of vertices are A(0,4),E(0,−4) and C(2,0)

Area of ΔAEC=

2

1

Base×Altitude

=

2

1

AE×CO

=

2

1

×[4−(−4)]×(2−0)

=

2

1

×8×2=8

∴ Area of ΔAEC= Square units.

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