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IF t is a parameter, then x = a(t + (1)/...

IF t is a parameter, then `x = a(t + (1)/(t))` and `y = b(t - (1)/(t))` represents

A

an ellipse

B

a circle

C

a pair of straight lines

D

A hyperbola

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The correct Answer is:
D
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TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
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  7. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

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  8. Let the eccentricity of the hyperbola (x ^(2))/(a ^(2))- (y ^(3))/(b ^...

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  9. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=...

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  10. The length of the straight line x-3y=1, intercept by the hyperbola x^2...

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  11. The locue of the mis-points of the chords of the circel x ^(2) + y ^(2...

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  12. If x + y+ k =0 touches the circle x ^(2) + y^(2) -2x -4y + 3 =0, then ...

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  13. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

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  14. From the point A(0,3) on the circle x^2 +4x + (y-3)^2 = 0 a chord AB ...

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  15. For any a in R, then locus x ^(2) + y^(2) - 2ay + a ^(2) =0 touches ...

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  16. The equation of a diameter of circle x ^(2) + y^(2)-6x + 2y =0, passin...

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  17. The centres of those circles which touch the circle x^(2) + y^(2) - 8...

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  18. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0 .The tangents...

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  19. Let the orthocentre and centroid of a triangle be (-3,5) and B(3,3) r...

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