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MATH Solutions By PHANI - Author on ShareChat: Funny, Romantic, Videos, Shayari, Quotes
MATH Solutions By PHANI
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#➗10th గణితం
➗10th గణితం - SOLVABILITY OF PAIR OF LINEAR EQUATIONS b11+ C1= 0 013 + In TWO VARIABLES 2~+ b2y+ C2 GENERAL FORM CONDITIONS OF SOLVABILITY 012 + b1V + C1 = 0 1, UNIQUE SOLUTION 3. IFINIIESOLUTIONS 4NS0UON 02T + b21 + C2 = 0 b1 b1 b1 01 1 01 b2 b2 b2 Where: 2 02 02 Then Then the lines intersect at the lines are parallel T, y are variables Then the lines coincide point and distinct. (same line). 01, b1, C1, 02, b2, C2 are one constants and not all zero GRAPHICAL SUMMARY | Condition Lines Solution 01 Unique Intersect Intersecting lines Solution Parallel lines Coincident lines Example: Daupe ample No Parallel Solution ೩ + ? = 5 23 + 4y = 8 2x + 4y = 8 Infinite solutions 31=3,y= 2 No solution b1 Infinite ೩ + 2y = 5 ~ - ல = 1 x + 2y = 4 Coincident Solutions CDS EXAM TIPS MATH Compare the ratios of coefficients Solutions No Solution Infinite Solutions Unique Solution IMPORIANT PHANI If ratios of 01/02 and 02/02 equal Unique Solution. are not FORMULA 01 01 1 01 01 If ratios equal but C1 /C2 different No Solution b2 02 02 02 2 2 If all three ratios equal Infinite Solutions Use elimination or substitution to find the actual values SOLVABILITY OF PAIR OF LINEAR EQUATIONS b11+ C1= 0 013 + In TWO VARIABLES 2~+ b2y+ C2 GENERAL FORM CONDITIONS OF SOLVABILITY 012 + b1V + C1 = 0 1, UNIQUE SOLUTION 3. IFINIIESOLUTIONS 4NS0UON 02T + b21 + C2 = 0 b1 b1 b1 01 1 01 b2 b2 b2 Where: 2 02 02 Then Then the lines intersect at the lines are parallel T, y are variables Then the lines coincide point and distinct. (same line). 01, b1, C1, 02, b2, C2 are one constants and not all zero GRAPHICAL SUMMARY | Condition Lines Solution 01 Unique Intersect Intersecting lines Solution Parallel lines Coincident lines Example: Daupe ample No Parallel Solution ೩ + ? = 5 23 + 4y = 8 2x + 4y = 8 Infinite solutions 31=3,y= 2 No solution b1 Infinite ೩ + 2y = 5 ~ - ல = 1 x + 2y = 4 Coincident Solutions CDS EXAM TIPS MATH Compare the ratios of coefficients Solutions No Solution Infinite Solutions Unique Solution IMPORIANT PHANI If ratios of 01/02 and 02/02 equal Unique Solution. are not FORMULA 01 01 1 01 01 If ratios equal but C1 /C2 different No Solution b2 02 02 02 2 2 If all three ratios equal Infinite Solutions Use elimination or substitution to find the actual values - ShareChat