Assertion : If (a 1 x + b 1 y + c 1 ) + (a 2 x + b 2 y + c 2 ) + (a 3 x + b 3 y + c 3 ) =…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
Assertion : If (a1x + b1y + c1) + (a2x + b2y + c2) +
(a3x + b3y + c3) = 0, then lines
a1x + b1y + c1 = 0, a2x + b2y + c2 = 0, a3x + b3y + c3 = 0 cannot be parallel.
Reason : If sum of three straight lines equations is identically zero then they are either concurrent or parallel.
(a3x + b3y + c3) = 0, then lines
a1x + b1y + c1 = 0, a2x + b2y + c2 = 0, a3x + b3y + c3 = 0 cannot be parallel.
Reason : If sum of three straight lines equations is identically zero then they are either concurrent or parallel.
- If Assertion is true, Reason is true, Reason is a correct explanation for Assertion.
- If Assertion is true, Reason is true, Reason is not a correct explanation for Assertion.
- If Assertion is true, Reason is false.
- If Assertion is false, Reason is true.
Answer
(C) If Assertion is true, Reason is false.
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