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Let P be the point on the parabola, y^...

Let P be the point on the parabola, `y^2=8x` which is at a minimum distance from the centre C of the circle,`x^2+(y+6)^2=1.` Then the equation of the circle, passing through C and having its centre at P is : (1) `x^2+y^2-4x+8y+12=0` (2) `x^2+y^2-x+4y-12=0` (3) `x^2+y^2-x/4+2y-24=0` (4) `x^2+y^2-4x+9y+18=0`

A

`x^(2)+y^(2)-x/4+2y-24=0`

B

`x^(2)+y^(2)-4x+9y+18=0`

C

`x^(2)+y^(2)-4x+8y+12=0`

D

`x^(2)+y^(2)-x+4y-12=0`

Text Solution

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The correct Answer is:
C
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DISHA PUBLICATION-CONIC SECTIONS-Exercise-2 : Concept Applicator
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  16. The middle point of chord x+3y=2 of the conic x^(2)+xy-y^(2)=1, is

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  17. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

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