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State whether the two lines in each of t...

State whether the two lines in each of the following are parallel, perpendicular or neither: through (6,3) and (1,1); through (-2,5) and (2,-5)

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Slope of line joining `(6,3) `and `(1,1)`
`m_{1}=frac{1-3}{1-6}=frac{-2}{-5}=frac{2}{5}`
Slope of line joining `(-2,5)` and `(2,-5)`
`m_{2}=frac{-5-5}{2-(-2)}=frac{-10}{4}=frac{-5}{2}`
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Find the slope of the line parallel and perpendicular to the line passing through (6,3) & (-4,5)

Show that the line through (2, -5) and (-2, 5) is perpendicular to the line through (6, 3) and (1, 1)

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RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
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  2. State whether the two lines in each of the following are parallel, p...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Line through the points (-2,6) and (4,80 is perpendicular to the line ...

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  20. Find the value of x for which the points (x-1),\ (2,1)a n d\ (4,5)\ a...

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