Question
Download Solution PDFWhich of the following is correct with respect to the following equations?
Y = -2x + 10 and 2y - x = 12
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Concept:
Equation of a line:
- Lines can be represented by ax + by = c. In this, the slope of the line can be defined as
Intersection angle:
- If θ is the intersection angle of 2 lines, then
- In the below figure, θ is the intersection angle we have to find.
Perpendicular lines:
- When two lines are perpendicular to each other, the product of their slopes is -1.
- If the slopes of lines are m1 and m2 then m1 × m2 = -1.
Calculation:
Data given,
Line-1 is y = -2x + 10 or 2x+y = 10
The slope of line is
and Line-2 is 2y - x = 12
The slope of line is
Now,
∴, both the lines are perpendicular to each other and intersect each other at 90°. Therefore, value of θ = 90°
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