Maths-
General
Easy
Question
Assertion(A): If then equation represent a straight line.
Reason(R): If , then equation represent a straight line
- If both (A) and (R) are true, and (R) is the correct explanation of (A).
- If both (A) and (R) are true but (R) is not the correct explanation of (A).
- If (A) is true but (R) is false.
- If (A) is false but (R) is true.
The correct answer is: If (A) is false but (R) is true.
Reason :
(– 3y – 2z) – (– 3x – z) + (2x – y)
– 3y – 2z = 2, 3x + z = – 1, 2x – y = 0
i.e. – 6x + 2z = 2, 3x + z = – 1
straight line 2x – y = 0, 3x + z = – 1
Assertion :
= (3y + z) – (3x – 2z) + (– x – 2y)
3y + z = 3, 3x – 2z = 0, – x – 2y = 1
3x – 2(3 – 3y) = 0
3x + 6y = 6 x + 2y = 2
Now x + 2y = – 1, x + 2y = 2 are parallel planes
is not a straight line
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