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Find the distance between the line 12 x-...

Find the distance between the line `12 x-5y+9=0` and the point (2,1).

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To find the distance between the line \(12x - 5y + 9 = 0\) and the point \((2, 1)\), we can use the formula for the distance \(d\) from a point \((x_0, y_0)\) to a line \(Ax + By + C = 0\): \[ d = \frac{|Ax_0 + By_0 + C|}{\sqrt{A^2 + B^2}} \] ### Step 1: Identify the coefficients A, B, and C from the line equation The given line is \(12x - 5y + 9 = 0\). Here, we can identify: ...
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RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
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  2. ermine whether the point (-3, 2) lies inside or outside the triangle w...

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  3. Find the distance between the line 12 x-5y+9=0 and the point (2,1).

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  4. If p and p be the perpendicular form the origin upon the straight line...

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  5. What are the points on x-axis whose perpendicular distance from the ...

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  6. Find the points on y-a xi s whose perpendicular distance from the line...

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  7. The points on x+y=4 that lie at a unit distance from the line 4x+3y-10...

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  8. Find the distance of the point (4,5) from the straight line 3x-5y+7=0

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  9. Find the perpendicular distance of the line joining the points (cos th...

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  10. Find the length of the perpendicular from the origin to the straight ...

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  11. Show that the perpendiculars let fall from any point on the straight ...

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  12. Find the length of the perpendicular draw from the point (4,-7) upon t...

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  13. What are the points on the x-axis whose perpendicular distance from th...

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  14. Show that the product of perpendiculars on the line x/a costheta+y/b s...

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  15. Find the perpendicular distance from the origin of the perpendicular ...

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  16. Find the distance of the point (1,2) from the straight line with slope...

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  17. What are the points on the yaxis whose distance from the line x/3+y/4=...

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  18. In the triangle ABC with vertices A (2, 3), B (4, 1) and C (1, 2), ...

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