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Find the equation to the locus represen...

Find the equation to the locus represented by the parametric equations `x=2t^(2)+t+1, y=t^(2)-t+1`.

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The correct Answer is:
`(x-2y+1)^(2)=3(x+y-2)`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
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  2. Find the equation to the locus represented by x=(2+t+1)/(3t-2), y=(t-1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The coordinates of the vertices of a triangle are [at(1)t(2),a(t(1)+t(...

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  19. Prove that diagonals of the parallelogram formed by the four straight ...

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  20. Find the locus of the foot of the perpendicular from the origin upon ...

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