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Find the coordinates of the point R on t...

Find the coordinates of the point R on the line segment joining the points P(-1,3) and Q (2,5) such that PR `=(3)/(5)` PQ.

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To find the coordinates of the point R on the line segment joining the points P(-1, 3) and Q(2, 5) such that PR = (3/5) PQ, we will follow these steps: ### Step 1: Understand the Ratio We know that PR = (3/5) PQ. This means that the ratio of the distances PR to PQ is 3:5. Therefore, we can express this as: \[ \frac{PR}{PQ} = \frac{3}{5} \] This implies that point R divides the line segment PQ externally in the ratio 3:5. ### Step 2: Assign Coordinates ...
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NCERT EXEMPLAR ENGLISH-COORDINATE GEOMETRY-Exercise 7.3 Very Short Answer Type Questions
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  2. Find the points on the X-axis which are at distance of 2sqrt(5) from...

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  7. Find the value of m, if the points (5,1), (-2,-3) and (8,2m) are colli...

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  8. If the points A(2,-4) is equidistant from P (3,8) and Q (-10,y), then ...

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  9. Find the area of the triangle wohose vertices are (-8,4) ,(-6,6) and (...

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  10. In what ratio does the X -axis divide the line segment joining the poi...

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  11. Find the ratio in which the point P((3)/(4),(3)/(12)) divides the lin...

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  12. If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in...

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  13. If (a,b) is the mid - point of the line segment joining the points A (...

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  14. If the centre of a circle is (2a,a-7) ,then Find the value of a , if t...

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  15. The line segment joining the points A(3,2) and B (5,1) is divided at t...

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  16. If D (-(1)/(2),(5)/(2)), E (7,3) and F ((7)/(2),(7)/(2)) are the mid...

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  17. If the points A (2,9), B (a,5) and C (5,5) are the vertices of a tria...

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  18. Find the coordinates of the point R on the line segment joining the po...

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  19. Find the values of k, if the points A (k+1,2k) ,B (3k,2k+3) and C (5k-...

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  20. Find the ratio in which the line 2x+3y-5=0 divides the line segment jo...

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