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State whether the tow lines in each of the following are parallel, perpendicular or nether: through (9,5) and (-1,1); through (3,-5) and (8,-3)

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Slope of line joining `(-1,1) `and `(9,5)`
`m_{1}=frac{5-1}{9-(-1)}=frac{4}{10}=frac{2}{5}`
Slope of line joining` (3,-5) `and `(8,-3)`
`m_{2}=frac{-3-(-5)}{8-3}=frac{-3+5}{5}=frac{2}{5}`
Here `m_{1}=m_{2}` Therefore, ...
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RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
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  2. Find the slope of a line passing through the following point: (3,-5)\ ...

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  3. State whether the tow lines in each of the following are parallel, ...

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  4. State whether the two lines in each of the following are parallel, p...

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  5. State whether the two lines in each of the following are parallel, p...

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  6. State whether the two lines in each of the following are parallel, p...

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  7. Find the slope of a line i. which bisects the first quadrant angle ii....

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  8. Using the method of slope, show that the following points are colli...

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  9. Using the method of slope, show that the following points are collin...

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  10. What is the value of y so that the line through (3, y)a n d\ (2,7) is ...

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  11. What can be said regarding a line if its slope is i. positive ii. zero...

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  12. Show that the line joining (2,-3) and (-5,1) is parallel to the line ...

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  13. Show that the joining (2,-5) and (-2, 5) is perpendicular to the line ...

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  14. Without using Pythagoras theorem, show that the points A(0,4),\ B(1,2)...

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  15. Prove that the points (-4, -1), (-2, -4), (4,0) and (2,3) are the v...

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  16. If three points A(h ,0),\ P(a , b)a n d\ B(0, k) lie on a line, show t...

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

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  18. Consider the following population and year graph: find the slope of th...

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  19. Without using distance formula, show that points (2," "1) , (4," "0) ,...

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  20. Find the angle between the X-axis and the line joining the points (3,-...

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