(ii) If two lines are perpendicular to each other having their slopes m1 and m2 then m1. m2 is equal to
(a) -1
(b) 1
(c) 0
(d) None of these
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Answer:
none of these is equal to m1
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Given :
Two lines are perpendicular to each other having their slopes m1 and m2
To Find:
m1. m2
Step-by-step explanation:
- Let us take we have a line that is where we have the slope of the line as and with intercept .
- For the two lines to be perpendicular the product of their slopes should be .
- So the line equation perpendicular to the given line will be with slope
- As the two lines are perpendicular so the angle between the lines become 90° and the other slope can be found by the formula
- Here angle is the angle between two lines whose slopes are given . And remember that the value is always taken as positive as there is modulus in the formula .
The final answer is -1
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