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Bisectors of Angle between Two Lines

Find X and Y,...

Question

Find X and Y, if

(i) and

(ii) and

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Solution

(i)

Adding equations (1) and (2), we get:

(ii)

Multiplying equation (3) with (2), we get:

Multiplying equation (4) with (3), we get:

From (5) and (6), we have:

Now,

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Y

X + Y = [\begin{matrix} 7 & 0 2 & 5 \end{matrix}]

X - Y = [\begin{matrix} 3 & 0 0 & 3 \end{matrix}]

2 X + 3 Y = [\begin{matrix} 2 & 3 4 & 0 \end{matrix}]

3 X + 2 Y = [\begin{matrix} 2 & - 2 - 1 & 5 \end{matrix}]

Q. Find X and Y if

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Bisectors of Angle between Two Lines

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