Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects

Mathematics

Graphical solution of linear inequalities in two variables

In this Class 11 Mathematics topic from the chapter Linear Inequalities, students learn how to represent a linear inequality in two variables on the Cartesian plane. They study how to draw the boundary line, decide whether it is included or excluded, and identify the correct half-plane by testing a point. The topic also explains how multiple inequalities can be represented together to find their common feasible region, helping students interpret solutions visually and connect algebraic conditions with graphs.

Hard · Level 1 · 25 questions

TOPIC PRACTICE

Quiz this set

Up to 25 questions from this page. Select your focus, then start.

25 questions

Choose questions
View options
  1. Solid line and half-plane containing origin
  2. Dotted line and half-plane containing origin
  3. Solid line and half-plane not containing origin
  4. Dotted line and half-plane not containing origin
View options
  1. Solid line above (x-y=4)
  2. Dotted line on the side containing ((5,0))
  3. Dotted line on the side containing ((0,0))
  4. Solid line on the side containing ((0,0))
View options
  1. ((0,0)), ((7,0)), ((0,7))
  2. ((7,7)), ((7,0)), ((0,7))
  3. ((0,0)), ((7,7)), ((0,7))
  4. ((0,0)), ((-7,0)), ((0,-7))
View options
  1. ((2,3))
  2. ((4,2))
  3. ((5,2))
  4. ((1,5))
View options
  1. ((1,3))
  2. ((2,5))
  3. ((0,4))
  4. ((3,7))
View options
  1. (y>4x-8), above the line
  2. (y<4x-8), below the line
  3. (y \ge 4x-8), above the line
  4. (y \le 4x-8), below the line
View options
  1. (2x-y \le 5)
  2. (2x-y < 5)
  3. (2x-y > 5)
  4. (2x-y \ge 5)
View options
  1. ((2,1))
  2. ((4,2))
  3. ((6,2))
  4. ((3,4))
View options
  1. Below horizontal line and right of vertical line
  2. Above horizontal line and left of vertical line
  3. Bounded triangle between both lines
  4. Only one line
View options
  1. ((2,4))
  2. ((4,2))
  3. ((1,5))
  4. ((5,1))
View options
  1. ((3,1))
  2. ((1,2))
  3. ((4,3))
  4. ((0,5))
View options
  1. ((4,0)) and ((0,10))
  2. ((10,0)) and ((0,4))
  3. ((5,0)) and ((0,2))
  4. ((2,0)) and ((0,5))
View options
  1. (x+3y<9)
  2. (x+3y \le 9)
  3. (x+3y>9)
  4. (x+3y \ge 9)
View options
  1. ((1,4))
  2. ((3,2))
  3. ((0,6))
  4. ((5,3))
View options
  1. Triangle
  2. Rectangle
  3. Unbounded strip
  4. Only line segment
View options
  1. Boundary line is solid and region is above
  2. Boundary line is dotted and region is below
  3. Boundary line is solid and region is below
  4. Boundary line is dotted and region is above
View options
  1. Side containing origin
  2. Side opposite to origin
  3. Only on boundary line
  4. Entire plane
View options
  1. \(\left(\frac{8}{3},\frac{8}{3}\right)\)
  2. ((4,0))
  3. ((0,4))
  4. ((2,3))
View options
  1. ((5,0))
  2. ((0,2))
  3. ((10,1))
  4. ((3,-1))
View options
  1. When (x \le 2)
  2. When (x \ge 2)
  3. For all real (x)
  4. For no (x)
View options
  1. (24) square units
  2. (48) square units
  3. (96) square units
  4. (12) square units
View options
  1. Bounded triangle
  2. Unbounded region
  3. Empty region
  4. Only two points
View options
  1. ((4,3))
  2. ((2,1))
  3. ((5,2))
  4. ((-1,3))
View options
  1. ((3,2))
  2. ((1,4))
  3. ((4,1))
  4. ((2,3))
View options
  1. (y \le \frac{x-6}{2})
  2. (y \ge \frac{x-6}{2})
  3. (y \le \frac{6-x}{2})
  4. (y \ge \frac{6-x}{2})

Add Muft Shiksha to your Home Screen

In Safari, tap Share, then Add to Home Screen.