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The vertices of DeltaPQR are P(2, 1), Q(...

The vertices of `DeltaPQR` are `P(2, 1)`, `Q(-2, 3)`, `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 \( R(4, 5) \) of triangle \( PQR \) with vertices \( P(2, 1) \), \( Q(-2, 3) \), we will follow these steps: ### Step 1: Find the Midpoint of Segment \( PQ \) The midpoint \( M \) of segment \( PQ \) can be calculated using the midpoint formula: \[ M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) ...
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Find the equation of the line Passing through the points (-1, 1), and ...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. By using the concept of equation of a line, prove that the three point...

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  15. Reduce the following equations into slope intercept form and find th...

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  16. Reduce the following equations into intercept form and find their int...

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  17. Reduce the following equations into normal form. Find their perpendic...

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  18. Find the distance of the point (-1, 1) from the line 12(x+6)=5(y-2).

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  19. Find the points of the x-axis, whose distances from the line x/3+y/4=...

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  20. Find the distance between parallel lines (i) 15 x" "+" "8y" "-" "34"...

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