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If the line 4y - 3x = k is a tangent to ...

If the line 4y - 3x = k is a tangent to the circle `x^2+y^2+10x-6y+9=0` find 'k'. Also find the co-ordinates of the point of contact.

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MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
  1. Prove that the line ax + by + c = 0 will be a tangent to the circle x^...

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  2. prove that the line 2x + y = 1 is a tangent to the circle x^2+y^2+6x-4...

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  3. If the line 4y - 3x = k is a tangent to the circle x^2+y^2+10x-6y+9=0 ...

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  4. Find the length of the tangent, drawn to the circles x^2+y^2+10x-6y+8=...

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  5. Find the length of the tangent drawn from the point (2, -1) to the cir...

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  6. Find the length of the tangent drawn from the point (4, 7) to the circ...

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  7. Prove that the circles given by the equations x^2+y^2+2x-8y+8=0 and x^...

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  8. Prove that the circles given by the equations x^2+y^2=4 and x^2+y^2+6x...

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  9. Prove that the two circles x^2+y^2+2by+c^2=0 and x^2+y^2+2ax+c^2=0, wi...

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  10. Prove that the circles given by x^2+y^2+2ax+2by+c=0, and x^2+y^2+2bx+2...

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  11. Find the equation of the circle through the point of intersection of c...

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  12. Find the equation of the circle passing through the intersection of th...

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  13. Find the radical axis of the circles x^2+y^2-6x-8y-3=0 and 2x^2+2y^2+4...

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  14. Find the radical axis of the circles x^2+y^2-6x+8y-12=0 and x^2+y^2+6x...

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  15. If centre of one circle lies on or inside another, prove that the circ...

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  16. If a circle S intersects circles S1 and S2 orthogonally. Prove that th...

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  17. R is the radical centre of circles S1, S2 and S3. Prove that if R is o...

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  18. Determine a circle which cuts orthogonally each of the circles. S1 : x...

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  19. Prove that on pair of concentric circles can have a radical axis.

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  20. The equation of the directrix to the parabola x^2=-6yis .

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