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Find the distance of the point `(1, 1)`from the line `12(x + 6) = 5(y - 2)`.

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To find the distance of the point \((1, 1)\) from the line given by the equation \(12(x + 6) = 5(y - 2)\), we will follow these steps: ### Step 1: Simplify the Equation of the Line We start with the equation: \[ 12(x + 6) = 5(y - 2) \] Expanding both sides: ...
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NCERT ENGLISH-STRAIGHT LINES-EXERCISE 10.3
  1. The line through the points (h, 3) and (4, 1) intersects the line 7x-9...

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  2. Prow that the line through the point (x1, y1)and parallel to the line...

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  3. Two lines passing through the point (2, 3) intersects each other at a...

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  4. Find the equation of the right bisector of the line segment joining...

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  5. Find the coordinates of the foot of perpendicular from the point (-1, ...

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  6. The perpendicular from the origin to the line y = m x + cmeets it at...

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  7. If p and q are the lengths of perpendiculars from the origin to the l...

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

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  9. If p is the length of perpendicular from the origin to the line whose...

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  10. Reduce the following equations into normal form. Find their perpendic...

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  11. Reduce the following equations into intercept form and find their int...

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  12. Reduce the following equations into slope intercept form and find th...

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  13. Find equation of the line parallel to the line 3x - 4y + 2 = 0and pass...

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  14. Find the distance between parallel lines(i) 15 x + 8y -34 = 0and 15 x...

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  15. Find the points of the xaxis, whose distances from the line x/3+y/4=1...

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  16. Find the distance of the point (1, 1)from the line 12(x + 6) = 5(y - ...

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  17. Find angles between the lines sqrt(3)x+y=1and x+sqrt(3)y=1.

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  18. Find equation of the line perpendicular to the line x - 7y + 5 = 0and ...

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