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By using the concept of equation of a li...

By using the concept of equation of a line, prove that the three points `(3, 0)`, `(-2, -2)`,and`(8, 2)` are collinear.

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To prove that the three points \( (3, 0) \), \( (-2, -2) \), and \( (8, 2) \) are collinear, we can use the concept of the equation of a line. Here’s a step-by-step solution: ### Step 1: Identify the Points Let the points be: - \( A(3, 0) \) - \( B(-2, -2) \) - \( C(8, 2) \) ...
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. P (a, b) is the midpoint of a line segment between axes. Show that eq...

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  2. Point R (h, k) divides a line segment between the axes in the ratio 1...

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  3. By using the concept of equation of a line, prove that the three point...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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