Angle Between Two Lines | CBSE, JEE Maths Concept Note

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It is beneficial to understand the relationship between the two lines. It's the angle between the two lines that are being measured

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There are two angles between two intersecting lines: The acute angle and the obtuse angle. - For the angle between two lines, we consider the acute angle between the lines.

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Knowing the slope of two lines or the equation of the two lines can be used to compute the angle between them.

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The angle between two lines can be computed from the slope by using the trigonometric tangent function.

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Let us consider two lines with slopes m1 and m2 respectively.

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- Further, we can find the angle between the two lines if the equations are given. - Let the equations be l1=a1x+b1y+c1=0 and l2 = a2x+b2y+c2=0

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- The angle between two lines that are parallel to each other and have equal slopes is zero degrees. -The distance between two parallel lines is at all times constant.

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The angle between two lines are perpendicular to each other and have the product of their slopes equal to -1 is 90 degrees.

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Example: Find the angle between the following two lines Line 1: 3x-2y = 4 Line 2: x + 4y = 1

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