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Let 2x^(2)+y^(2)-3xy=0 be the equationof...

Let `2x^(2)+y^(2)-3xy=0` be the equationof a pair of tangents drawn from the orign O to a circlke of radius 3 with centre in the first quadrant. If A is one of the point of contact then show that the length of OA is `3(3+sqrt(10)`.

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AAKASH SERIES-CIRCLES-ADDITIONAL EXERCISE
  1. The centre of the circle passing through the points (0,0), (1,0) and t...

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  2. Show that the equation of the circle which touches x^(2)+y^(2)-6x+6y+1...

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  3. Let 2x^(2)+y^(2)-3xy=0 be the equationof a pair of tangents drawn from...

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  4. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0. Suppose that...

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  5. The lines 2x-3y=5 and 3x-4y=7 are diameters of a circle of are 154 s...

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  6. A circle passes through the points of intersection of the lines lamda ...

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  7. Show that the centre of the circle which circumcribes the square forme...

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  8. If one of the diameters of the circle x^(2)+y^(2)-2x-6y+6=0 is a chord...

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  9. If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameter of a circle of ...

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  10. Show that the equation of the circle which pass through the points (1,...

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  11. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. Sh...

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  12. If the points (2,0)(3,2)(5,4) and (t,0) are concylic, show that t=2 or...

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  13. The circle passing through the points (1, t), (t, 1) and (t, t) for al...

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  14. If (2,4) is an interior point to the circle x^(2)+y^(2)-6x-10y+lamda=0...

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  15. Show that the number of tangents that can be drawn from the point (5/2...

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  16. Show that the equations of the tangents drawn from the origin to the c...

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  17. The locus of the centre of a circle which touches externally the circl...

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  18. If the angle between the tangents drawn from P to the circle x^(2)+y^(...

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  19. If the tangent at the point P on the circle x^(2)+y^(2)+6x+6y=2 meets ...

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  20. If the straight line y=mx is outside the circle x^(2)+y^(2)-20y+90=0, ...

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