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Find angles between the lines sqrt(3)x+...

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

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To find the angle between the lines given by the equations \( \sqrt{3}x + y = 1 \) and \( x + \sqrt{3}y = 1 \), we can follow these steps: ### Step 1: Convert the equations to slope-intercept form First, we need to express both equations in the form \( y = mx + b \), where \( m \) is the slope. 1. For the first line \( \sqrt{3}x + y = 1 \): \[ y = -\sqrt{3}x + 1 ...
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. find equation of the line parallel to the line 3x - 4y + 2 = 0 and pas...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. What are the points on the yaxis whose distance from the line x/3+y/4=...

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  17. Find perpendicular distance from the origin of the line joining the p...

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  18. Find the equation of the line parallel to y-axis and drawn through the...

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  19. Find the equation of a line drawn perpendicular to the line x/4+y/6 = ...

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  20. Find the area of the triangle formed by the lines y-x=0,x+y=0and x-k=0...

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