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Find the distance of the point (-1, 1) f...

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: Rewrite the line equation in standard form The given line equation is: \[ 12(x + 6) = 5(y - 2) \] Expanding both sides: ...
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Reduce the following equations into intercept form and find their int...

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

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

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  4. Find the points of the x-axis, whose distances from the line x/3+y/4=...

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  5. Find the distance between parallel lines (i) 15 x" "+" "8y" "-" "34"...

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  6. find equation of the line parallel to the line 3x - 4y + 2 = 0 and pas...

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  7. Find equation of the line perpendicular to the line x" " -" "7y" "+" "...

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

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  9. The line through the points (h, 3) and (4, 1) intersects the line 7x-9...

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  10. Prow that the line through the point (x1> y1) and parallel to the l...

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

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  12. Find the equation of the perpendicular bisector of the line segment jo...

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  13. Find the coordinates of the foot of perpendicular from the point (-1,3...

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  14. The perpendicular from the origin to the line y=mx+c meets it at the p...

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  15. If p and q are the lengths of perpendicular from the origin to the li...

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

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

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  18. Find the values of k for which the line (k-3)x-(4-k^2) y+k^2-7k+6=0 is...

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  19. Find the values of 6 and p, if the equation xcostheta-ysintheta=p is t...

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  20. Find the equations of the lines, which cut-off intercepts on the axes ...

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