Mathematics
Given below are the equation of two lines:
y = 2x + 8 and y =
Assertion (A): The two lines are perpendicular to each other.
Reason (R): Their slopes are reciprocal of each other.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).
Straight Line Eq
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Answer
Given lines,
⇒ y = 2x + 8 and y =
Comparing above equations with y = mx + c we get,
Slope of 1st line = 2
Slope of 2nd line =
The slopes of 1st line and 2nd line are reciprocal of each other.
So, reason (R) is true.
⇒ Slope of 1st line × Slope of 2nd line
⇒ 2 ×
⇒ 1.
Since, product ≠ -1, so lines are not perpendicular as product of slope of perpendicular lines = -1.
So, assertion (A) is false.
Thus, Assertion (A) is false, Reason (R) is true.
Hence, option 2 is the correct option.
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