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The locus of the foot of the perpendicul...

The locus of the foot of the perpendicular drawn from orign to a variable line passing through fixed point (2,3) is a circle whose diameter is

A

`sqrt(13)`

B

`(sqrt(13))/2`

C

`2sqrt(13)`

D

`sqrt(26)`

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The correct Answer is:
A
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AAKASH SERIES-CIRCLES-EXERCISE II
  1. A right angled isosceles triangle is inscribed in the circle x^(2)+y^(...

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  2. If an equilateral triangle is inscribed in the circle x^(2)+y^(2)-6x-4...

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  3. The locus of the foot of the perpendicular drawn from orign to a varia...

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  4. A square is inscribed in the circlex^(2)+y^(2)-4x+6y-5=0 whose sides a...

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  5. A square is inscribed in the circel x^(2)+y^(2)-2x+7y-8=0 whose diagon...

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  6. The length of the tangent drawn to the circle x^(2)+y^(2)-2x+4y-11=0 f...

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  7. If (m(1),1//m(1)), i=1,2,3,4 are concyclic points, then the value of m...

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  8. The equation of the image of the circle x^(2)+y^(2)-6x-4y+12=0 by the ...

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  9. The area bounded by circles x^(2)+y^(2)=r^(2), r=1,2 and rays given by...

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  10. The shortest distance from (-2,14) to the circle x^(2)+y^(2)-6x-4y-12=...

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  11. The longest distance from (-3,2) to the circle

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  12. If the line y=2x+c is a tangent to the circle x^(2)+y^(2)=5 then a val...

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  13. The sum of the minimum and maximum distances of the point (4,-3) to th...

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  14. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then th...

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  15. The nearest point on the circle x^(2)+y^(2)-6x+4y-12=0 from (-5,4) is

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  16. The least distance of the line 8x-4y+73=0 from the circle 16x^(2)+16y^...

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  17. If d(1) and d(2) are the longest the shortest distance of (-7,2) from ...

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  18. Equation of circle passing through (1,sqrt(3)), (1,-sqrt(3)) and (3,-s...

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  19. The equation of the circle of radius 3 that lies in 4th quadrant and t...

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  20. If the points (2,0) (0,1), (4,0) and (0,a) are concylic then a=

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