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The coordinates of two point opposite ve...

The coordinates of two point opposite vertices oc a square are (3,4) and (1,-1), find the coordinates of the other two vertices.

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The correct Answer is:
`(-(1)/(2), (5)/(2)) and ((9)/(2),(1)/(2))`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
  1. Prove that it is impossible to have an equilateral triangle for which ...

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  2. A straight line moves in such a way that the algebraic sum of the perp...

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  3. The coordinates of two point opposite vertices oc a square are (3,4) a...

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  4. If L,M,N divide the sides BC,CA and AB of a triangle ABC in the same r...

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  5. Find the equation to the locus represented by x=(2+t+1)/(3t-2), y=(t-1...

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  6. Find the equation to the locus represented by the parametric equation...

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  7. If t is a variable parameter, then the equation to the locus defined b...

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  8. The four point A(a,0), B(b,0) ,C(c,0) and D(d,0) are such that a and b...

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  9. The straight lines y=x=2 and y=6x+3 are parallel to two sides of the r...

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  10. The eqution of the side BC,CA and AB of the triangle ABC are u(1)=a(1)...

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  11. A striaght line intersect x-axis at A(7,0) and y-axis at B(0,-5). The ...

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  12. The equation of two diameters of a circle of area 154 sq unit are 2x-3...

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  13. If the four points (m(i),(1)/(m(i))) where m(1) gt 0 (I,1,2,3,4) are c...

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  14. The ends A and B of a rod AB of length 8 unit slide along the lines y=...

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  15. A is a point on the circle x^(2)+y^(2)=36. Find the locus of the point...

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  16. The coordinates of the points A and B are (1,3) and (-2,1) respectivel...

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  17. Find the equation of the diagonals of the parallelogram formed by the ...

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  18. Show that the lines y=0, sqrt(3y)-xy=sqrt(3) and sqrt(3y)+x-10=0 form ...

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  19. Prove analytically that the perpendicular bisector of the sides of a t...

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  20. The coordinates of the vertex A of the triangle ABC are (-5,2) the equ...

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