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Q.

The linear equation 3x-11y=10 has ____ solution.

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a

Infinitely many

b

Unique

c

Two

d

None of the above

answer is C.

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Detailed Solution

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Complete Solution:

  • A linear equation in two variables 3x - 11y = 10 represents a straight line on the coordinate plane.
  • Every point (x, y) that satisfies this equation lies on this line.
  • Since a line extends infinitely in both directions, there are infinitely many points on this line.

There are infinitely many pairs (x, y) that satisfy the equation, Therefore the linear equation 3x - 11y = 10 has infinitely many solutions.

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