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Find the equation of line which passes t...

Find the equation of line which passes through the point `(2,3)` and the sum of whose intercepts on axes is `10`.

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To find the equation of the line that passes through the point (2, 3) and has the sum of its intercepts on the axes equal to 10, we can follow these steps: ### Step 1: Understand the intercept form of the line The equation of a line in intercept form is given by: \[ \frac{x}{a} + \frac{y}{b} = 1 \] where \(a\) is the x-intercept and \(b\) is the y-intercept. ...
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NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
  1. Find the equation of line which passes through the point (2,3) and the...

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  2. Find the new co-ordinates of the following points when origin is shift...

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  3. At which point the origin should be shifted such that the new co-ordin...

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  4. If the origin is shifted to the point (1,2) then what will be the tran...

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  5. Find the point at which origin is shifted such that the transformed e...

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  6. Find the point at which is shifted such that the transformed equations...

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  7. Find the point at which origin is shifted such that the transformed eq...

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  8. Show that the area of triangle whose vertices are (1,0), (2,4) and (3,...

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  9. Find the slope of the lines whose iclination is given : (i) 45^(@) (...

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  10. Find the inclination of the lines whose slopes are as follows : (i) ...

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  11. Find the slopes of the lines passing through the following points : ...

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

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

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

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

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

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

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

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

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

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

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