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If a point P has co-ordinates (0, -2) an...

If a point P has co-ordinates `(0, -2) and Q` is any point on the circle`x^2+y^2-5x-y+5=0,` then the maximum value of `(PQ)^2` is : (a) `(25+sqrt6)/2` (b) `14+5sqrt3` (c) `(47+10sqrt6)/2` (d) `8+5sqrt3`

A

`(25 + sqrt6)/(2)`

B

`14 + 5 sqrt3`

C

`(47 + 10 sqrt6)/(2)`

D

`8 + 5 sqrt3`

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The correct Answer is:
B
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If a point P has co-ordinates (0,-2) and Q is any point on the circle x^(2)+y^(2)-5x-y+5=0, then the maximum value of (PQ)^(2) is :( a) (25+sqrt(6))/(2) (b) 14+5sqrt(3)(c)(47+10sqrt(6))/(2) (d) 8+5sqrt(3)

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The length of the chord of the parabola y^(2)=x which is bisected at the point (2,1) is (a) 2sqrt(3)( b) 4sqrt(3)(c)3sqrt(2) (d) 2sqrt(5)

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the center of the circle lies on x-2y=4. The radius of the circle is 3sqrt(5)(b)5sqrt(3)(c)2sqrt(5)(d)5sqrt(2)

The radius of the circle passing through the points (1, 2), (5, 2) and (5, -2) is : (A) 5sqrt(2) (B) 2sqrt(5) (C) 3sqrt(2) (D) 2sqrt(2)

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