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Assertion: the lines 2x-5y=7 and 6x-15y=8 are parallel lines Reason: the system of linear equation a1x b1y c1=0 and a2x b2y c2=0 have infinitely many solution if a1/a2 8s not equal to b1/b2 OPTIONS: a. assertion reason both are correct and reason is correct explanation for assertion b. assertion reason both are correct but reason is not correct explanation for assertion c. assertion is correct but reason is wrong d. assertion is wrong but reason is correct?
Most Upvoted Answer
Assertion: the lines 2x-5y=7 and 6x-15y=8 are parallel lines Reason: t...
Solution:

The given lines are:

2x-5y=7 ...(i)

6x-15y=8 ...(ii)

To check whether the given lines are parallel or not, we will compare their slopes.

Slope of line (i):

2x-5y=7

⇒ 2x=5y+7

⇒ x=5/2y+7/2

Slope of line (i) = 5/2

Slope of line (ii):

6x-15y=8

⇒ 6x=15y+8

⇒ x=5/2y+4/3

Slope of line (ii) = 5/2

Therefore, the slopes of both lines are equal. Hence, we can say that the given lines are parallel.

Assertion: The lines 2x-5y=7 and 6x-15y=8 are parallel lines.

Reason: The system of linear equation a1x b1y c1=0 and a2x b2y c2=0 have infinitely many solutions if a1/a2 is not equal to b1/b2.

The given reason is the correct explanation for the assertion. Hence, the correct answer is option (a) Assertion reason both are correct and reason is correct explanation for assertion.
Community Answer
Assertion: the lines 2x-5y=7 and 6x-15y=8 are parallel lines Reason: t...
"OPTION C IS CORRECT"
EXPLANATION : Assertion is correct but in the sense of Reason it is meant to be the equation parallel for the solution to be infinity.
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Assertion: the lines 2x-5y=7 and 6x-15y=8 are parallel lines Reason: the system of linear equation a1x b1y c1=0 and a2x b2y c2=0 have infinitely many solution if a1/a2 8s not equal to b1/b2 OPTIONS: a. assertion reason both are correct and reason is correct explanation for assertion b. assertion reason both are correct but reason is not correct explanation for assertion c. assertion is correct but reason is wrong d. assertion is wrong but reason is correct?
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Assertion: the lines 2x-5y=7 and 6x-15y=8 are parallel lines Reason: the system of linear equation a1x b1y c1=0 and a2x b2y c2=0 have infinitely many solution if a1/a2 8s not equal to b1/b2 OPTIONS: a. assertion reason both are correct and reason is correct explanation for assertion b. assertion reason both are correct but reason is not correct explanation for assertion c. assertion is correct but reason is wrong d. assertion is wrong but reason is correct? 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: the lines 2x-5y=7 and 6x-15y=8 are parallel lines Reason: the system of linear equation a1x b1y c1=0 and a2x b2y c2=0 have infinitely many solution if a1/a2 8s not equal to b1/b2 OPTIONS: a. assertion reason both are correct and reason is correct explanation for assertion b. assertion reason both are correct but reason is not correct explanation for assertion c. assertion is correct but reason is wrong d. assertion is wrong but reason is correct? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion: the lines 2x-5y=7 and 6x-15y=8 are parallel lines Reason: the system of linear equation a1x b1y c1=0 and a2x b2y c2=0 have infinitely many solution if a1/a2 8s not equal to b1/b2 OPTIONS: a. assertion reason both are correct and reason is correct explanation for assertion b. assertion reason both are correct but reason is not correct explanation for assertion c. assertion is correct but reason is wrong d. assertion is wrong but reason is correct?.
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