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Prove that the points (-2,-1),(1,0),(4,3...

Prove that the points `(-2,-1),(1,0),(4,3)`, and `(1,2)` are the vertices of a parallelogram. Is it a rectangle ?

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AAKASH INSTITUTE ENGLISH-STRAIGHT LINES-TRY YOURSELF
  1. Determine x so that the line passing through (3,4) and (x ,5) makes ...

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  2. Let P(0,1)and Q(4,0) are two points. Find the slope of line perpendicu...

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

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  4. Find the angle between x-axis and line joining points (0,0) and (1, 2)...

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  5. Find the value of x for which the points (1,-1),(2,1)and (x,5) are col...

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  6. Find the equation of the line parallel to x-axis and passing through (...

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  7. Find the equations of straight lines which pass through (2,1) and are ...

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  8. Find the equation the straight line passing through (-2,3) and incline...

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  9. Find the equation of the line passing through (0,a)and (b,0).

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  10. Prove that the points A(4,3),B(3,0)and C(2,-3) are collinear. Also, fi...

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  11. Find the equation of a line wiith slope -1 and cutting off an intercep...

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  12. Find the equation of the line cutting off intercepts of 2 and 4 on neg...

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  13. Find the equation of the straight line which passes through the point ...

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  14. Find the equation of the line whose perpendicular distance from origin...

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  15. Find the equation of the straight line upon which the length of the ...

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  16. Transform the equation of the line sqrt(3)x+y-8=0 to (i) slope interce...

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  17. Reduce the lines 3x-4y+4=0\ a n d\ 2x+4y-5=0 to the normal form and he...

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  18. Find the perpendicular distance from the origin of the perpendicular ...

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  19. What are the points on y-axis whose distance from the line x/3+y/4=1\ ...

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  20. Find the distance between the parallel lines x+y=1and x+y+2=0

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