K के किस मान के लिए समीकरण 3x-Y+8=0और 6x-ky=-16 संपाती रेखाएं
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Answers
Given : 3x-Y+8=0और 6x-ky=-16
To Find : K के किस मान के लिए समीकरण 3x-y+8=0और 6x-ky=-16 संपाती रेखाएं
प्रदर्शित करेंगे।
Solution:
a1x +b1y +c1=0
a2x +b2y +C2=0
a1/a2 ≠ b1/b2
then System is called consistent and have a unique Solution
Lines intersect each other at unique point
a1/a2 = b1/b2 = c1/c2
then Consistent ( infinite solution ) as both Equation represent same line
a1/a2 = b1/b2 ≠ c1/c2
Inconsistent ( no Solution )
as Lines are parallel and never intersect each other
संपाती रेखाएं = Coincident lines
3x-y+8=0
6x-ky=-16
=> 6x-ky + 16 = 0
3x-y+8=0
6x-ky + 16 = 0
संपाती रेखाएं iff
3/6 = - 1/-k = 8/16
=> 1/2 = 1/k = 1/2
=> k = 2
K के मान 2 के लिए समीकरण 3x-Y+8=0और 6x-ky=-16 संपाती रेखाएं
प्रदर्शित करेंगे।
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Answer:
Rahul Kumar dl13@gmail . cam complete