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Find the locus of the point (t^2-t+1,t^2...

Find the locus of the point `(t^2-t+1,t^2+t+1),t in R`.

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(ii) Find the value of t if the point (-t,t^2+t+1) is equidistant from the axes.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. A B is a variable line sliding between the coordinate axes in such ...

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

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  3. Find the locus of the point (t^2-t+1,t^2+t+1),t in R.

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  4. Find the locus of a point such that the sum of its distance from the...

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  5. Two points P(a,0) and Q(-a,0) are given. R is a variable point on o...

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  6. If the coordinates of a variable point P are (acostheta,bsintheta), wh...

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  7. Find the locus of a point whose distance from (a, 0) is equal to it...

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  8. The coordinates of the point A and B are (a,0) and (-a ,0), respecti...

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  9. The locus of the foot of perpendicular drawn from origin to a variabl...

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  10. A variable line through the point P(2,1) meets the axes at a an d b...

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  11. If A(cosalpha,sinalpha),B(sinalpha,-cosalpha),C(1,2) are the vertic...

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  12. Let A(2,-3) and B(-2,1) be the vertices of Delta A B Cdot If the ...

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  13. Convert the following polar coordinates to its equivalent Cartesian ...

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  14. Convert the following Cartesian coordinates to the corresponding po...

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  15. A straight line is drawn through P(3,4) to meet the axis of x and y...

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  16. A variable line through the point P(2,1) meets the axes at a an d b...

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  17. A point moves such that the area of the triangle formed by it with ...

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

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  19. Find the locus of the middle point of the portion of the line xcosa...

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  20. Q is a variable point whose locus is 2x+3y+4=0; corresponding to a ...

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