Q.

The true set of real values of "a" such that the point M(a,sin⁡a) lies inside the triangle  formed by the lines x−2y+2=0,x+y=0 and x−y−π=0 is

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a

0,π

b

π3,π2

c

0,π6∪π3,π2

d

π2,π∪2π3,2π

answer is A.

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Detailed Solution

M(a, sina ) lies on sine curve
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The true set of real values of "a" such that the point M(a,sin⁡a) lies inside the triangle  formed by the lines x−2y+2=0,x+y=0 and x−y−π=0 is