if the pair of equations x + y = root 2. and x sin A + y cos A = 1 has infinitely many solutions, then A = ?

options : 30, 45, 60 and 90

Given equations are,

x + y = √2 and

x sin A + y cos A = 1

For the given set of equations to have infinitely many solutions, we have

... (1)

The given equations can be rewritten as:

x + y - √2 = 0

x sin A + y cos A - 1 = 0

Using (1), we get

  • 6
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