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Question

# Match the following: A. y =âˆ’32âˆ’x2; x= -3 -2y(i) Inconsistent pairB. 5x = 6-3y; 9y= 12-15x(ii) Dependent pairC. y=27âˆ’x7;y=185âˆ’x5(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=b1b2≠c1c2 Dependent pair: a1a2=b1b2=c1c2 Unique solution:a1a2≠b1b2 A.y=−32−x2⇒x2+y+32=0x=−3−2y⇒x+2y+3=0Here a1a2=12,b1b2=12,c1c2=12 Hence,a1a2=b1b2=c1c2. Thus, it is a dependent pair. B. 5x=6−3y⇒5x+3y−6=0 9y=12−15x⇒15x+9y−12=0 Here a1a2=13,b1b2=13,c1c2=12 Hence,a1a2=b1b2≠c1c2. Thus, it is an inconsistent pair. C. y=27−x7⇒x7+y−27=0 y=185−x5⇒x5+y−185=0 Here a1a2=16,b1b2=57 Hence, a1a2≠b1b2. Thus, it is a consistent pair.

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