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(3,2) and (-3,2) are the vertices of an ...

(3,2) and (-3,2) are the vertices of an equilateral triangle which contains the origin within it, what are the coordinates of the third vertex ?

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The correct Answer is:
`(0,2,-3 sqrt(3)`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
  1. Prove that if P(x,y) be any point on the line segment joining P(1)(x...

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  2. Prove that if P(x,y) be any point on the line segment joining P(1)(x...

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  3. (3,2) and (-3,2) are the vertices of an equilateral triangle which con...

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  4. Show that the points A(a,b), B(a+alpha+ b,+ beta), C(a+alpha+ p, b+bet...

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  5. Prove that it is impossible to have an equilateral triangle for which ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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