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Question

ax + 2y = 30 and 3x + by = 15 are two equations in variables x and y. For what condition you cannot find the solution of these simultaneous equations.

A

ab ≠ 6

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B

a2 + b2 + 20 = 9a + 3b.

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C

ab = 6

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D
a2 + b2 + 20 = 3a + 9b
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Solution

The correct option is C

ab = 6


ax + 2y = 30.................................(1)
3x + by = 15.................................(2)

Multiplying equation (2) by 2

6x +2by = 30........................(3)

Equating eqn (1) and (3)

ax +2y = 6x +2by
We cannot find the solution when a=6 and b=1, answer is option (c)


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