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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


  1. A-ii, B-i, C-iii

  2. A-ii, B-iii, C-i

  3. A-iii, B-i, C-ii

  4. A-i, B-iii, C-ii


Solution

The correct option is A

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.
 

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