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Show that the line 3x+4y +20=0 touches t...

Show that the line 3x+4y +20=0 touches the circle `x^(2) + y^(2) =16` and find the point of contact

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The correct Answer is:
`(12/5,16/5)`
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ICSE-CIRCLE-EXERCISE 17(C )
  1. The circle 4x^(2) + 4 y^(2) = 25 cuts the line 3x + 4y - 10 = 0 at A a...

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  2. Find the length of the chord x+ 2y = 5 of the circle whose equation is...

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  3. Find the intercept made by the circle 4x^(2) + 4 y^(2) - 24x + 5y + 25...

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  4. Find the equation of circle with Centre C (1,- 3) and tangent to 2 x ...

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  5. Find the length of the chord made by the axis of x, with the circle wh...

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  6. Find the equation of the circle which has centre C (3, 1) and which to...

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  7. Tangents from an external point. Find the equations of the tangents to...

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  8. Find the equations of the tangents to the circle x^(2) + y^(2) = 25 i...

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  9. The circle x^(2) + y^(2) + 2g x + 2fy + c = 0 does not intersect th...

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  10. Find the conditions that the line (i) y = mx + c may touch the circle...

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  11. For what value of k will the line 4x + 3y + k = 0 touch the circle 2x^...

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  12. Show that 3x - 4y - 11 = 0 is a tangent to the circle x^(2) + y^(2) - ...

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  13. Show that x = 7 and y = 8 touch the circle x^(2) + y^(2) - 4x - 6y -1 ...

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  14. Show that the line 3x+4y +20=0 touches the circle x^(2) + y^(2) =16 an...

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  15. Length of the tangent. Prove that the length t o f the tangent from th...

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  16. If x = 4 + 5cos theta and y = 3 + 5 sin theta , show that the locus ...

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  17. A (1 ,0 ) and B (7 ,0 ) are two points on the axis o f x. A point P is...

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  18. Find the equation of the circle which touches the line y = 2, passes t...

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  19. (i) Prove that the line y = 2x touches the circle x^(2) + y^(2) + 16x ...

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