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Find the minimum distance between the curves `y^2=4x` and `x^2+y^2-12 x+31=0`

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If (2,-8) is an end of a focal chord of the parabola y^(2)=32x, then f...

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  2. Prove that the length of the intercept on the normal at the point P(at...

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  3. Find the minimum distance between the curves y^2=4x and x^2+y^2-12 x+3...

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  4. If y=2x+3 is a tangent to the parabola y^(2)=24x, then find its distan...

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  5. Three normals to y^2=4x pass through the point (15, 12). Show that one...

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  6. Find the locus of the point from which the two tangents grawn to the p...

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  7. Find the angle between the tangents drawn from the origin to the parab...

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  8. Find the locus of the point of intersection of the perpendicular tange...

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  9. Three normals are drawn from the point (7,14) to the parabola x^(2)-8x...

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  10. Find the equation of normaly to the parabola y=x^(2)-x-1 which has equ...

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  11. If y=x+2 is normal to the parabola y^(2)=4ax, then find the value of a...

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  12. Find the equations of normals to the parabola y^(2)=4ax at the ends of...

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  13. The coordinates of the ends of a focal chord of the parabola y^2=4a x ...

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  14. If t(1)andt(2) are the parameter of the ends of the focal chord y^(2)=...

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  15. If the length of focal chord of y^(2)=4ax is l, then find the angle be...

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  16. If the length of focal PQ is 'l', and 'p' is the perpendicular distan...

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  17. Find the equation of the tangent to the parabola y^(2)=8x having slope...

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  18. Find the equations of the tangents of the parabola y^(2)=12x, which pa...

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  19. If line y=3x+c touches the parabola y^(2)=12 at point P, then find the...

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  20. Find the equation of the tangent to the parabola y=x^(2)-2x+3 at point...

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