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The value of K for which the pair of linear equations 4x 6y-1=0 and 2x-ky=7 represent parallel lines is?
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The value of K for which the pair of linear equations 4x 6y-1=0 and 2x...
Introduction:
To find the value of K for which the pair of linear equations 4x + 6y - 1 = 0 and 2x - ky = 7 represent parallel lines, we need to determine the condition under which the slopes of the two lines are equal.
Slope of a line:
The slope of a line can be found using the formula: slope = (-coefficient of x) / (coefficient of y)
Equation 1:
4x + 6y - 1 = 0
To find the slope of this line, we rewrite the equation in the form y = mx + c, where m is the slope.
6y = -4x + 1
y = (-4/6)x + 1/6
Equation 2:
2x - ky = 7
To find the slope of this line, we rewrite the equation in the form y = mx + c, where m is the slope.
ky = 2x - 7
y = (2/k)x - 7/k
Condition for parallel lines:
For two lines to be parallel, their slopes must be equal. Therefore, we need to equate the slopes of the two lines.
Equating the slopes:
(-4/6) = (2/k)
To solve for k, we cross-multiply and simplify the equation.
-4k = 12
k = -3
Conclusion:
The value of k for which the pair of linear equations 4x + 6y - 1 = 0 and 2x - ky = 7 represent parallel lines is k = -3.
To find the value of K for which the pair of linear equations 4x + 6y - 1 = 0 and 2x - ky = 7 represent parallel lines, we need to determine the condition under which the slopes of the two lines are equal.
Slope of a line:
The slope of a line can be found using the formula: slope = (-coefficient of x) / (coefficient of y)
Equation 1:
4x + 6y - 1 = 0
To find the slope of this line, we rewrite the equation in the form y = mx + c, where m is the slope.
6y = -4x + 1
y = (-4/6)x + 1/6
Equation 2:
2x - ky = 7
To find the slope of this line, we rewrite the equation in the form y = mx + c, where m is the slope.
ky = 2x - 7
y = (2/k)x - 7/k
Condition for parallel lines:
For two lines to be parallel, their slopes must be equal. Therefore, we need to equate the slopes of the two lines.
Equating the slopes:
(-4/6) = (2/k)
To solve for k, we cross-multiply and simplify the equation.
-4k = 12
k = -3
Conclusion:
The value of k for which the pair of linear equations 4x + 6y - 1 = 0 and 2x - ky = 7 represent parallel lines is k = -3.
Community Answer
The value of K for which the pair of linear equations 4x 6y-1=0 and 2x...
K=3
A1/A2=4/2
b1/b2=6/k
since it will form parallel A1/A2= b1/b2
by cross multiplying both a and b values we get
4k=12
k= 12/4
k= 3
A1/A2=4/2
b1/b2=6/k
since it will form parallel A1/A2= b1/b2
by cross multiplying both a and b values we get
4k=12
k= 12/4
k= 3
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The value of K for which the pair of linear equations 4x 6y-1=0 and 2x-ky=7 represent parallel lines is?
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The value of K for which the pair of linear equations 4x 6y-1=0 and 2x-ky=7 represent parallel lines is? 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 The value of K for which the pair of linear equations 4x 6y-1=0 and 2x-ky=7 represent parallel lines is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of K for which the pair of linear equations 4x 6y-1=0 and 2x-ky=7 represent parallel lines is?.
The value of K for which the pair of linear equations 4x 6y-1=0 and 2x-ky=7 represent parallel lines is? 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 The value of K for which the pair of linear equations 4x 6y-1=0 and 2x-ky=7 represent parallel lines is? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of K for which the pair of linear equations 4x 6y-1=0 and 2x-ky=7 represent parallel lines is?.
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