Class X Math Chapter 3 NCERT Solutions

Class X Math Chapterwise Solutions

Pair Of Linear Equations in Two Variables

দুটা চলকযুক্ত ৰৈখিক সমীকৰণৰ যুগল

Standard Form

$$a_1x + b_1y + c_1 = 0$$a1​x+b1​y+c1​=0 $$a_2x + b_2y + c_2 = 0$$a2​x+b2​y+c2​=0

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🔹 Types of Solutions (VERY IMPORTANT)

Condition	Nature of Solution
$\frac{a_1}{a_2} \ne \frac{b_1}{b_2}$a2​a1​​=b2​b1​​	Unique solution
$\frac{a_1}{a_2} = \frac{b_1}{b_2} \ne \frac{c_1}{c_2}$a2​a1​​=b2​b1​​=c2​c1​​	No solution
$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$a2​a1​​=b2​b1​​=c2​c1​​	Infinitely many

অসমীয়া:

• একমাত্ৰ সমাধান
• কোনো সমাধান নাই
• অসংখ্য সমাধান