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The locus of the point (sqrt(3h),sqrt(3k...

The locus of the point `(sqrt(3h),sqrt(3k+2))` if it lies on the line `x-y-1=0` is (a) straight line (b) a circle (c) a parabola (d) none of these

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The vertex of the parabola whose parametric equation is x=t^2-t+1,y=t^...

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  2. A point P(x , y) moves in the xy-plane such that x=acos^2theta and y=2...

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  3. The locus of the point (sqrt(3h),sqrt(3k+2)) if it lies on the line x-...

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  4. If the segment intercepted by the parabola y^2=4a x with the line l x+...

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  5. The graph of the curve x^2+y^2-2x y-8x-8y+32=0 falls wholly in the fir...

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  6. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then, a. C1 and C2 ...

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  7. Let the curve C be the mirror image of the parabola y^2 = 4x with resp...

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  8. Let S be the focus of the parabola y^2=8x and let PQ be the common cho...

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  9. Consider the parabola y^2 = 8x. Let Delta1 be the area of the triangle...

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

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  11. A line L : y = mx + 3 meets y-axis at E (0, 3) and the arc of the para...

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  12. Match the following. Normals are drawn at points P Q and R lying on th...

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  13. Tangents and normal drawn to the parabola y^2=4a x at point P(a t^2,2a...

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  14. If the normals to the parabola y^2=4a x at three points (a p^2,2a p) a...

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  15. Normal AO,AA(1),andAA(2) are drawn to the parabola y^(2)=8x from the p...

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  16. If 2x+y+lambda=0 is a normal to the parabola y^2=-8x , then lambda is ...

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  17. The length of the latus rectum of the parabola whose focus is ((u^2)/(...

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  18. If parabolas y^2=lambdax and 25[(x-3)^2+(y+2)^2]=(3x-4y-2)^2 are equal...

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  19. The normal at the point P(ap^2, 2ap) meets the parabola y^2= 4ax again...

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  20. The set of points on the axis of the parabola y^2=4x+8 from which the ...

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