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Two lines pass through the point (3,1) m...

Two lines pass through the point `(3,1)` meet an angle of `60^(@)`. If the slope of one line is `2`, find the equation of second line.

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To find the equation of the second line that passes through the point (3, 1) and meets the first line at an angle of 60 degrees, given that the slope of the first line is 2, we can follow these steps: ### Step 1: Identify the given information - Point of intersection: \( (3, 1) \) - Slope of the first line \( m_1 = 2 \) - Angle between the two lines \( \theta = 60^\circ \) ### Step 2: Use the formula for the tangent of the angle between two lines ...
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Two lines pass through the point (3,1) meet an angle of 60^(@). If 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. Shift the origin to a suitable point so that the equation y^2+4y+8x-2=...

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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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