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Question

Match the following:
A. y =32x2; x= -3 -2y(i) Inconsistent pairB. 5x = 6-3y; 9y= 12-15x(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 where
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=16,b1b2=57
Hence, a1a2b1b2. Thus, it is a consistent pair.
 


Mathematics

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