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The locust of the point of intersection of lines `sqrt3x-y-4sqrt(3k)`=0 and `sqrt2kx+ky-4sqrt3=0` for different value of k is a hyperbola whose eccentricity is 2.

A

circle

B

parabola

C

hyperbola

D

ellipse

Text Solution

Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
  1. IF t is a parameter, then x = a(t + (1)/(t)) and y = b(t - (1)/(t)) re...

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  2. x ^(2), -4y ^(2) -2x + 16 y -40=0 reprsents

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  3. The locust of the point of intersection of lines sqrt3x-y-4sqrt(3k)=0 ...

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  4. The line segment joining the foci of the hyperbola x^2 – y^2 +1 = 0 is...

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  5. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The equation of a parabola which passes through the point of intersect...

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  19. Let the equation of an ellipse be (x^(2))/(144) + (y^(2))/(25) = 1 ....

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  20. The lines y = 2x + sqrt 76 and 2y + x=8 touch the ellipse (x ^(2))/(16...

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