Position of points relative to a line

JEE Main Mathematics · Straight Lines · 3 questions, latest first

• Let the points (11/2, α) lie on or inside the triangle with sides x+y=11, x+2 y=16 and 2 x+3 y=29. Then the product of the…202524 January, Shift 2 · Q11
• Let R be the interior region between the lines 3 x-y+1=0 and x+2 y-5=0 containing the origin. The set of all values of a, for…202427 January, Shift 2 · Q15
• A triangle is formed by X-axis, Y-axis and the line 3 x+4 y=60. Then the number of points P(a, b) which lie strictly inside the…202325 January, Shift 2 · Q87