Verified Solution • 2025–26 Session moderate

QJEEM25Mac08f: JEE Main 2025 Mathematics - Class 11 JEEM25Mac08f Solution: Let the points lie on or inside the triangle with sides and .…

Let the points (112,α)\left(\frac{11}{2}, \alpha\right) lie on or inside the triangle with sides x+y=11,x+2y=16x+y=11, x+2 y=16 and 2x+3y=292 x+3 y=29 . Then the product of the smallest and the largest values of α\alpha is equal to :

Multiple Choice Options

  • A 22
  • B 33
  • C 55
  • D 44

Step-by-Step Verified Solution

JEE Main 2025 (Online) 24th January Evening Shift Mathematics - Straight Lines and Pair of Straight Lines Question 1 English Explanation

Point of intersection of x=112x=\frac{11}{2} with L1&L3L_1 \& L_3 gives,

αmin⁡=112\alpha_{\min }=\frac{11}{2}

and αmax⁡=6\alpha_{\max }=6

∴αmin⁡⋅αmax⁡=112×6=33\therefore \alpha_{\min } \cdot \alpha_{\max }=\frac{11}{2} \times 6=33

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