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If the angle of inclination of line join...

If the angle of inclination of line joining the points `(x,3)` and `(-2,5)` is `45^(@)`, find the value of `x`.

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The correct Answer is:
`x=-4`
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NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
  1. Find the slopes of the lines passing through the following points : ...

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  2. If the slope of a line passing through the points (1,4) and (x,2) is 2...

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  3. If the angle of inclination of line joining the points (x,3) and (-2,5...

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  4. If the slop of line joining the points (6,-3) and (x,7) is 2, find the...

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  5. Show that the line joining the points (4,-1) and (-3,3) is parallel to...

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  6. If the line joining the points (5,y) and (4,9) is parallel to the line...

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  7. Show that the line joining the points (4,-3) and (0,7) is perpendicula...

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  8. If the line joining the points (6,-2) and (8,4) is perpendicular to th...

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  9. Without using Pythagoras theorem, show that A(4,4),\ B(3,5)a n d\ C(-1...

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  10. Using slopes, show that the points A(0,5), B(3,2) and C(-1,6) are coll...

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  11. Using the slope of line, show that the points (-1,-2), (0,4), (3,3) an...

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  12. Using slopes, show that the points (4,11), (1,5) and (-1,1) are collin...

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  13. If the points (-1,y), (1,2) and (5,4) are collinear, find the value of...

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  14. If the points P(h , k),\ Q(x1, y1)a n d\ R(x2, y2) lie on a line. Show...

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  15. The slope of a line is double of the slope of another line. If tangen...

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  16. Show that the diagonals of a rhombus bisect each other at right ang...

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  17. Prove that a median of an equilateral triangle is perpendicular to the...

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  18. Prove that the line joining the mid-points of the two sides of a tr...

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  19. Find the equation of the following lines : (i) parallel to X-axis an...

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  20. Find the equation of a line which pasess through the point (1,-1) and ...

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