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Assertion 9x 12y-7=0 and 6x 8y-14=0 form a consistent pair of the linear equations Reasons A pair of linear equation px qy r=0 and fx gy h= 0 has no solution of p/q=q/g?
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Assertion 9x 12y-7=0 and 6x 8y-14=0 form a consistent pair of the line...
Consistency of the pair of linear equations
Explanation of p/q=q/g having no solution
- Given equations are 9x+12y-7=0 and 6x+8y-14=0.
- These equations can be written in the form of ax+by+c=0 where a, b, and c are constants.
- So, we have 9x+12y-7=0 can be written as 9x/7+12y/7=1 and 6x+8y-14=0 as 3x/7+4y/7=1.
- On solving these equations, we get x = 14/3 and y = -5/3.
- Therefore, the given pair of equations is consistent as they have a solution.
Explanation of p/q=q/g having no solution
- Let's assume that p/q=q/g=k (where k is some constant).
- So, we have p = kq and q = kg.
- Substituting the value of q in the first equation, we get p = k(kg).
- Substituting the value of p in the second equation, we get kq = kg.
- Canceling out the common factor k, we get q = g.
- So, we have p/q=q/g=k=k1 (where k1 is some other constant).
- Therefore, the given pair of equations has no solution of p/q=q/g as it implies q = g, which is not possible for two different variables.
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Assertion 9x 12y-7=0 and 6x 8y-14=0 form a consistent pair of the linear equations Reasons A pair of linear equation px qy r=0 and fx gy h= 0 has no solution of p/q=q/g?
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Assertion 9x 12y-7=0 and 6x 8y-14=0 form a consistent pair of the linear equations Reasons A pair of linear equation px qy r=0 and fx gy h= 0 has no solution of p/q=q/g? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Assertion 9x 12y-7=0 and 6x 8y-14=0 form a consistent pair of the linear equations Reasons A pair of linear equation px qy r=0 and fx gy h= 0 has no solution of p/q=q/g? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion 9x 12y-7=0 and 6x 8y-14=0 form a consistent pair of the linear equations Reasons A pair of linear equation px qy r=0 and fx gy h= 0 has no solution of p/q=q/g?.
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