Question
The angle between the lines 
and 
is
Hint:
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line. We have to find the angle between the lines and .
The correct answer is:
The intersection of two perpendicular lines results in the formation of the cartesian plane, a two-dimensional coordinate plane. The X-axis is the horizontal line, and the Y-axis is the vertical line. The Cartesian coordinate point (x, y) indicates that the distance from the origin is x in the horizontal direction and y in the vertical direction.
Now the given lines are:
and
The cartesian form will be:
2x + 5y = 3
2y − 5x = −4
Slopes of these lines are −5/2 and 2/5
Here, we can say that the product of slopes is −1
Hence, these lines are perpendicular so the angles between them is 90 degrees.
2y − 5x = −4
Here, we can say that the product of slopes is −1
Hence, these lines are perpendicular so the angles between them is 90 degrees.
Here we used the concept of cartesian lines and some trigonometric terms to solve. With the help of slope we identified the angle between them. Hence, these lines are perpendicular so the angle between them is 90 degrees.
Related Questions to study
The polar equation of the straight line passing through 
and perpendicular to the initial line is
The polar equation of the straight line passing through and perpendicular to the initial line is
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.
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Two tuning forks 
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Consider the following statements:
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1. The number of ways of arranging m different things taken all at a time in which p m particular things are never together is m! – (m – p + 1)! p!.
2. A pack of 52 cards can be divided equally among four players in order in ways.
Which of these is/are correct?
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.
If the line is a normal to the hyperbola then
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