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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.

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VMC MODULES ENGLISH-CONIC SECTIONS-JEE ADVANCED ARCHIVE
  1. The locust of the point of intersection of lines sqrt3x-y-4sqrt(3k)=0 ...

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  2. The axis of a parabola is along the line y=x and the distance of its v...

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  3. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

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  4. Let PQ be a focal chord of the parabola y^(2)=4ax. The tangents to the...

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  5. If x+y=k is normal to y^2=12 x , then k is (a)3 (b) 9 (c) -9 (d) -3

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  6. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

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  7. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

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  8. The focal chord to y^2=16 x is tangent to (x-6)^2+y^2=2. Then the poss...

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  9. Let P be the point on the parabola y^(2)4x which is at the shortest di...

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  10. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

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  11. The curve described parametrically by x=t^2+t+1 , and y=t^2-t+1 repres...

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  12. Tangent PT and normal PN to the parabola y^(2)=4ax at a point P on it ...

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  13. about to only mathematics

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  14. about to only mathematics

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  15. about to only mathematics

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  16. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

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  17. Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...

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  18. Tangent is drawn to parabola y^(2)-2y-4x+5=0 at a point P which cuts t...

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  19. about to only mathematics

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  20. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

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  21. If the tangent at (1,7) to curve x^(2)=y-6 touches the circle x^(2)+y...

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