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O(0,0) and A(4,4) are two given points a...

O(0,0) and A(4,4) are two given points and B is any point. Find the equation to the locus of the point of intersection of the perpendicular bisector of `bar (OB) and bar (AB)`.

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The correct Answer is:
`x+y=4`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
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  2. P and Q are two point on the line x-y+1=0, if O is the origin and bar...

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  3. O(0,0) and A(4,4) are two given points and B is any point. Find the eq...

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  4. Show that the image of the point (h,k) with respect to the striaight l...

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  5. A point moves so that sum of the squares of its distances from the ve...

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  8. A rod of length a unit slides on the x-axis and another rod of length ...

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  9. A circle cuts intercepts of length 2a unit and 2b unit from the x-axis...

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  10. Let x^(2)+y^(2)-4x-2y-11=0 be a fixex circle.A pair of tangents to the...

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  13. Tangents PQ and PR are drawn from the point (alpha, beta) to the circl...

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  14. Let S-=x^(2)+y^(2)+2gx+2fy+c=0 be a given circle. Find the of the foo...

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  15. The line 2x+3y=12 meets the x-axis at A and the y-axis at B. the line...

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  16. Find the equation of the line passing through the point (2,3) and maki...

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  17. Let ABC be a triangle with AB=AC. If D is the mid point of BC,E , foot...

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  18. Lines L(1)= ax+by+c=0 and L(2) -= lx+ mu+n=0 intersect at the point P ...

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