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Find the equation to the locus of a point equidistant from the points `A(1,3)a n dB(-2,1)dot`

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To find the equation of the locus of a point that is equidistant from the points A(1, 3) and B(-2, 1), we can follow these steps: ### Step 1: Define the Point Let the point P be represented by the coordinates (h, k). ### Step 2: Write the Distance Formulas The distance from point A to point P (AP) and from point B to point P (BP) can be expressed using the distance formula: - Distance AP = √[(h - 1)² + (k - 3)²] ...
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RD SHARMA-BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES-Solved Examples And Exercises
  1. A point moves so that the sum of its distances from (a e ,0)a n d(-a e...

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  2. Find the equation of the locus of a point which moves such that the ...

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  3. Find the equation to the locus of a point equidistant from the points ...

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  4. The sum of the squares of the distances of a moving point from two ...

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  5. Find the locus of a point, such that the join of (-5,1)a n d(3,2) subt...

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  6. Find the locus of a point such that the sum of its distances from the ...

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  7. Find the locus of the mid-point of the portion of the line xcosalpha+y...

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  8. A(5,3), B(3,-2) are two fixed points; find the equation to the locus o...

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  9. Show that four points (0,-1),(6,7),(-2,3)a n d(8,3) are the vertices o...

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  10. If the segments joining the points A(a , b)a n d\ B(c , d) subtends an...

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  11. The vertices of a triangle are A(1,1),\ B(4,5)a n d\ C(6, 13)dot Find ...

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  12. If the vertices of a triangle having integral coordinates . Prove that...

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  13. If the coordinates of two points A and B are (3, 4) and (5,-2) , re...

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  14. The coordinates of A ,B ,C are (6,3),(-3,5),(4,-2) , respectively, and...

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  15. Find the coordinates of points lying on the line joining P(3,-4) and Q...

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  16. Determine the ratio in which the line 3x+y-9=0 divides the segment ...

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  17. Prove that: (4,-1) , (6,0) , (7,2) and (5,1)  are the vertices o a rh...

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  18. if the coordinates of the mid points of the Sides of a triangle are (...

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  19. Two vertices of a triangle are (3,-5)a n d(-7,4)dot If its centroid is...

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  20. If the line segment joining the points P(x1, y1)a n d\ Q(x2, y2) subte...

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