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If the co-ordinates of a point P are x ...

If the co-ordinates of a point P are ` x = at^(2)`,
` y = a sqrt(1 - t^(4)) ` , where t is a parameter , then the locus of P is a/an

A

circle

B

parabola

C

ellipse

D

hyperbola

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The correct Answer is:
A
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. The radius of the circle t^(2) x^(2) + t^(2) y^(2) - 2at^(3) x - 2...

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  2. If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c...

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  3. If the co-ordinates of a point P are x = at^(2), y = a sqrt(1 - t...

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  4. Equation of circle which passes through (-1,2) and (1,2) , and touc...

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  5. If a square is inscribed in the circle x^(2) + y^(2) + 2gx +2fy + c= ...

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  6. The equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a circle o...

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  7. If r(1), r(2) " and " r(3) are the radii of the circle x^(2) + y^(2)...

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  8. If the lines 5x - 12y = 5 " and " 10x - 24y + 3 = 0 are tangents ...

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  9. If the circle described on the join of (2,3) and (3,a) as a diameter p...

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  10. The radius of the circle, having centre at (2, 1), whose one of the ch...

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  11. Area of the circle x^(2) + y^(2) + 2 cos theta sin phi * x + 2 s...

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  12. The sides of a square are x=2,x=3,y=1andy=2. Find the equation of the ...

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  13. If the equation 3x^(2) + 3y^(2) + kxy + 9x + (k - 6) y + 3 = 0 rep...

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  14. If the two circle x^(2) + y^(2) - 3x + ky - 5 = 0 and 4x^(2) ...

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  15. Equation of the chord of the circle x^(2) + y^(2) - 4x = 0 whose mi...

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  16. Find the equation of the circle passing through the origin and the ...

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  17. The equation of the the circle having x - y - 2 = 0 and x - y + 2 = 0 ...

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  18. Area of a circle in which a chord of length sqrt(2) makes an angle (pi...

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  19. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

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  20. Centre of the circle toucing y-axis at (0,3) and making an intercept 2...

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