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# If the Lines Y = 3x + 1 and 2y = X + 3 Are Equally Inclined to the Line Y = Mx + 4, Find the Value of M. - Mathematics

If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4, find the value of m.

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#### Solution

The equations of the given lines are

y = 3x + 1 … (1)

2y = + 3 … (2)

y = mx + 4 … (3)

Slope of line (1), m1 = 3

Slope of line (2), m_2= 1/2

Slope of line (3), mm

It is given that lines (1) and (2) are equally inclined to line (3). This means that

the angle between lines (1) and (3) equals the angle between lines (2) and (3).

Is there an error in this question or solution?
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#### APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 10 Straight Lines
Q 19 | Page 234
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