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Prove that: (4,-1) , (6,0) , (7,2) and (...

Prove that: `(4,-1) , (6,0) , (7,2)` and `(5,1)`  are the vertices of a rhombus. Is it a square?

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RD SHARMA ENGLISH-BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES-All Questions
  1. Find the coordinates of points lying on the line joining P(3,-4) and Q...

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

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  3. Prove that: (4,-1) , (6,0) , (7,2) and (5,1)  are the vertices of a r...

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

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

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

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  7. Four points A(6,3),\ B(-3,5),\ C(4,-2)a n d\ D(x ,3x) are given in s...

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  8. The points A(2,0),\ B(9,1),\ C(11 ,6)a n d\ D(4,4) are the vertices...

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  9. Find the coordinates of the centre of the circle inscribed in a triang...

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  10. The base of an equilateral triangle with side 2a lies along the y-ax...

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  11. Find the distance between P(x1,\ y1)a n d\ Q(x2, y2) when i. P Q is p...

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  12. Find a point on the x-axis, which is equidistant from the point (7,...

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  13. Find the equation to the locus of a point which moves so that the s...

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  14. Find the locus of the point of intersection of lines xcosalpha+ysin...

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  15. A rod of length l slides with its ends on two perpendicular lines. ...

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  16. If O is the origin and Q is a variable points on x^2=4ydot Find the ...

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  17. Find the locus of a point equidistant from the point (2,4) and the ...

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

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  19. Find the locus of a point which is equidistant from (1,3) and x-axi...

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  20. Find the locus of a point which moves such that its distance from t...

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