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

Find the coordinates of the point Q on the X- axis which lies on the perpendicular bisector of the line segment joining the points A (-5,-2) and B (4,-2). Name the type of triangle formed by the points Q , A and B.

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To find the coordinates of the point Q on the X-axis which lies on the perpendicular bisector of the line segment joining the points A (-5, -2) and B (4, -2), we will follow these steps: ### Step 1: Find the Midpoint of Line Segment AB The midpoint \( C \) of the line segment joining points \( A(x_1, y_1) \) and \( B(x_2, y_2) \) can be calculated using the formula: \[ C\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \] For points \( A(-5, -2) \) and \( B(4, -2) \): ...
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NCERT EXEMPLAR-COORDINATE GEOMETRY-Coordinate Geometry
  1. Find the value of a , if the distance between the points A (-3,-14) an...

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  2. Find a point which is equidistant from the points A(-5,4) and B (-1,6)...

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  3. Find the coordinates of the point Q on the X- axis which lies on the ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If (-4,3) and (4,3) are two vertices of an equilateral triangle, then ...

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  19. A(6,1) , B (8,2) and C (9,4) are three vertices of a parallelogram ABC...

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  20. The points A (x(1),y(1)), B (x(2),y(2)) and C (x(3),y(3)) are the vert...

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