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CBSE Class 10 Answered

write an equation which represents a coincident to the line represented by the equation2x-3y+5=0
question image
Asked by mindu2109 | 05 Oct, 2023, 06:19: AM
answered-by-expert Expert Answer
TO lines are coincident if they lie on (or coincide with) each other.
i.e. lines a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 represents the equations of coincident lines if 
straight a subscript 1 over straight a subscript 2 equals straight b subscript 1 over straight b subscript 2 equals straight c subscript 1 over straight c subscript 2
For space the space given space line space 2 straight x minus 3 straight y plus 5 equals 0
Let space ax plus by plus straight c equals 0 space be space the space equation space of space line space coincident space with space the space above space line.
rightwards double arrow straight a over 2 equals fraction numerator straight b over denominator negative 3 end fraction equals straight c over 5
Let space straight a over 2 equals straight k
rightwards double arrow straight a equals 2 straight k comma space straight b equals negative 3 straight k comma space straight c equals 5 straight k
So comma space the space equation space is space given space by space 2 kx minus 3 ky plus 5 straight k equals 0 space straight i. straight e. space 2 straight x minus 3 straight y plus 5 equals 0
Answered by Renu Varma | 05 Oct, 2023, 10:26: AM

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