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Question

Match the following:
A.y=32x2;x=32y(i)Inconsistent pairB.5x=63y;9y=1215x(ii)Dependent pairC.y=27x7;y=185x5(iii)Unique solution


A
A-i, B-iii, C-ii
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B
A-ii, B-i, C-iii
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C
A-ii, B-iii, C-i
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D
A-iii, B-i, C-ii
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Solution

The correct option is B A-ii, B-i, C-iii
Write each of the pairs of equations in the standard form.
a1x+b1y+c1=0
a2x+b2y+c2=0

Inconsistent pair: a1a2=b1b2c1c2

Dependent pair: a1a2=b1b2=c1c2

Unique solution:a1a2b1b2

A.
y=32x2x2+y+32=0x=32yx+2y+3=0Here a1a2=12,b1b2=12,c1c2=12
Hence,a1a2=b1b2=c1c2. Thus, it is a dependent pair.

B.
5x=63y5x+3y6=0
9y=1215x15x+9y12=0
Here a1a2=13,b1b2=13,c1c2=12
Hence,a1a2=b1b2c1c2. Thus, it is an inconsistent pair.

C.
y=27x7x7+y27=0
y=185x5x5+y185=0
Here a1a2=57,b1b2=11
Hence, a1a2b1b2. Thus, it is a consistent pair.
 

Mathematics

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