2.
Find the value of p, if the straight lines 3x + 7y - 1 = 0 and
7x - py + 3 = 0 are mutually perpendicular.
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1.If the lines represented by 3x+2y+5=0 and kx-6y+4=0 are parallel, then k =
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2.For what value of a the system of linear equations 2x + 3y = 7 and ( a -1 )x + (a + 1)y = 3a + 1 represent parallel lines?
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Answered by
19
Given:
Two straight lines:
and
These are perpendicular to each other.
To find:
Value of p = ?
Solution:
Let us first learn the concept of perpendicular lines.
When two lines with slopes and are perpendicular to each other then the following condition holds true:
Let us convert the given straight line equations to slope intercept forms.
Slope intercept form is given as:
1st equation:
2nd equation:
The lines are given to be mutually perpendicular:
So, the values of p is 3.
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