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Without using distance formula, show that points `(-2, -1), `(4, 0)`, `(3, 3)`, and `(-3, 2)` are the vertices of a parallelogram.

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To show that the points \((-2, -1)\), \((4, 0)\), \((3, 3)\), and \((-3, 2)\) are the vertices of a parallelogram without using the distance formula, we can use the concept of slopes. If both pairs of opposite sides have the same slope, then the sides are parallel, which is a property of parallelograms. ### Step-by-Step Solution: 1. **Identify the Points**: Let the points be: - \( A(-2, -1) \) - \( B(4, 0) \) ...
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
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  2. Find the value of x for which the points (x-1),\ (2,1)a n d\ (4,5)\ a...

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  3. Without using distance formula, show that points (-2, -1), (4, 0), (3,...

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

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  5. The slope of a line is double of the slope of another line. If tangent...

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  6. A line passes through (x1,y1)and (h , k). If slope of the line is m,...

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

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  9. Find the equation of the line which satisfy the given conditions : ...

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  10. Find the equation of the line which satisfy the given conditions : ...

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  11. Find the equation of the line passing through (0,0) with slope mdot

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  12. Find the equation of the line passing through (2,2sqrt(3)) and incline...

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  13. Find the equation of a straight line: with slope -2 and intersecting ...

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  14. Find the equation of the line which satisfy the given conditions : ...

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  15. Find the equation of the line Passing through the points (-1, 1), and ...

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  16. Find the equation of the line which satisfy the given conditions : ...

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  17. The vertices of DeltaPQR are P(2, 1), Q(-2, 3), R(4, 5). Find equation...

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  18. Find the equation of the line passing through (-3,5) and perpendicular...

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  19. A line perpendicular to the line segment joining the points (1, 0) an...

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  20. Find the equation of a line that cuts off equal intercepts on the c...

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