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The vertices of Delta PQR are P (2, 1), ...

The vertices of `Delta` PQR are `P (2, 1)`, `Q (2, 3)`and `R (4, 5)`. Find equation of the median through the vertex R.

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To find the equation of the median through the vertex R of triangle PQR with vertices P(2, 1), Q(2, 3), and R(4, 5), we can follow these steps: ### Step 1: Find the Midpoint of Side PQ The first step is to find the midpoint of the line segment connecting points P and Q. The formula for the midpoint \( M \) of a line segment with endpoints \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by: \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] ...
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NCERT ENGLISH-STRAIGHT LINES-EXERCISE 10.2
  1. By using the concept of equation of a line, prove that the three poin...

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  2. Write the equations for the x–and y–axis.

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  3. Find the equation of the line which satisfy the given conditions : Pa...

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  4. Find the equation of the line which satisfy the given conditions : Pa...

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  5. Find the equation of the line which satisfy the given conditions : Pa...

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  6. Find the equation of the line which satisfy the given conditions : In...

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  7. Find the equation of the line which satisfy the given conditions : In...

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  8. Find the equation of the line which satisfy the given conditions : Pa...

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  9. Point R (h, k) divides a line segment between the axis in the ratio 1...

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  10. P (a, b) is the midpoint of a line segment between axes. Show that eq...

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  11. Find equation of the line passing through the point (2, 2) and cutt...

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  12. Find the equation of a line that cuts off equal intercepts on the coo...

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

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

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  15. The owner of a milk store finds that, he can sell 980 litres of milk e...

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  16. The length L (in centimetre) of a copper rod is a linear function o...

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  17. The perpendicular from the origin to a line meets it at the point (2,...

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  18. Find the equation of the line passing through the point (0,2) making a...

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  19. Find the equation of the line which satisfy the given conditions : Pe...

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  20. The vertices of Delta PQR are P (2, 1), Q (2, 3)and R (4, 5). Find equ...

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