Math, asked by ranisingh1516, 4 months ago

K के किस मान के लिए समीकरण 3x-Y+8=0और 6x-ky=-16 संपाती रेखाएं
प्रदर्शित करेंगे।​

Answers

Answered by amitnrw
1

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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Answered by rahulkumarmdl3
0

Answer:

Rahul Kumar dl13@gmail . cam complete

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