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Find the distance of point (2,3) from th...

Find the distance of point (2,3) from the line `2x-3y+9=0` measured along a line making an angle of `45^0` with the x-axis.

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To find the distance of the point (2, 3) from the line \(2x - 3y + 9 = 0\) measured along a line making an angle of \(45^\circ\) with the x-axis, we can follow these steps: ### Step 1: Find the slope of the line making a \(45^\circ\) angle with the x-axis. The slope \(m\) of a line making an angle \(\theta\) with the x-axis is given by \(m = \tan(\theta)\). For \(\theta = 45^\circ\): \[ m = \tan(45^\circ) = 1 \] ...
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RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
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  2. The straight line through P(x1, y1) inclined at an angle theta with th...

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  3. Find the distance of point (2,3) from the line 2x-3y+9=0 measured alon...

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  4. Find the distance of the point (2,5) from the line 3x+y+4=0 measured p...

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  5. Find the distance of the point (3, 5) from the line 2x + 3y = 14 measu...

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  11. Reduce the lines 3x-4y+4=0 and 2x+4y-5=0 to the normal form and hence ...

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