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Linear Inequalities

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWith \(x+2y \le 8\), \(2x+y \le 8\), \(x \ge 0\), and \(y \ge 0\), which vertex is formed by the two slant boundary lines?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsIf ((0,0)) does not satisfy (ax+by \le c) and (c>0), on which side will the graph be shaded?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsWhich statement is correct for the graph of (y< -2x+6)?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsWhat is the shape of the region formed by (x=1), (y=2), and (x+y=8) for (x \ge 1), (y \ge 2), (x+y \le 8)?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsWhich point is included in the solution region of (2x+y \ge 8), (x+y \le 6), (x \ge 0), (y \ge 0)?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsWhich inequality has the solution region below the line (x+3y=9) and includes the boundary line?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsIn the graph of (5x+2y<20), what are the intercepts of the line (5x+2y=20) on the axes?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsWhich point lies in both regions (x-y \le 2) and (x+y \ge 4)?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsIn the combined graph of (x+y \ge 6) and (2x+y \le 10), what is the intersection of the boundary lines?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsWhat type of region is the common solution of (y \ge 3) and (x \le 5)?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsWhich point does not lie in the solution region of the system (x+2y \le 10), (x \ge 2), (y \ge 1)?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsIf a graph has the boundary line (2x-y=5) dotted and the shading is toward ((0,0)), which inequality is represented?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsAfter writing (4x-y<8) in terms of (y), how will the shaded region be identified?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsWhat is the intersection point of the boundary lines for the inequalities (y \le 2x+1) and (y \ge -x+4)?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsIf a region is bounded by (x \ge 0), (y \ge 0), and (x+y \le 7), what are its vertices?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsFor the graph of the inequality (x-y>4), what will be the boundary line and suitable region?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsWhich statement is correct about the boundary line and shaded region while graphing the inequality (2x+3y \le 12)?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesHard MathematicsWhat is the correct method to graph (x+y\le 5), (x+2y\ge 4), (x\ge 0), (y\ge 0)?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesMedium MathematicsWhich point lies in the common region of y ≥ 0 and y ≤ 2x?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesMedium MathematicsWhich point lies on the boundary line of x + y ≥ 3?Class 11Linear InequalitiesGraphical solution of linear inequalities in two variablesMedium