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JEE MainMathematicsToughStraight Lines

The point P(α,α+1)P(\alpha,\alpha + 1) will lie inside the triangle
with vertices
A(0,3),B(−2,0)A(0,3),B( - 2,0) and C(6,1)C(6,1) if
fcUnq
P(α,α+1)P(\alpha,\alpha + 1) f=Hkqt ftl A(0,3),B(−2,0)A(0,3),B( - 2,0)

Show answer and solution
−67<α<−32- \frac{6}{7} < \alpha < - \frac{3}{2}

Source: Grass-G / M-25 Mathematics Paper 7 Jan.docx

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