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If lines 3x - 4y + 4 = 0 " and " 6x - 8...

If lines ` 3x - 4y + 4 = 0 " and " 6x - 8y - 7 = 0 ` touch the same
circle , then its radius is

A

`(3)/(2) `

B

`(3)/(4)`

C

`(7)/(10)`

D

`(4)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
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MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Two circles x^(2) + y^(2) - 2x - 4y = 0 and x^(2) + y^(2) - 8y...

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  2. If circles x^(2) + y^(2) = 9 " and " x^(2) + y^(2) + 2ax + 2y + 1 = ...

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  3. If lines 3x - 4y + 4 = 0 " and " 6x - 8y - 7 = 0 touch the same c...

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  4. If circles x^(2) + y^(2) - 3x + ky - 5 = 0 " and " 4x^(2) + 4y^(2) - ...

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  5. Centre of circle , passing through (0,0) ,(a,0) and (0,b) , is

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  6. If line 2x - y + k = 0 is a diameter of circle x^(2) + y^(2) + 6...

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  7. Determine equation of the circle whose diameter is the chord x + y = 1...

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  8. If (h,k) is the centre of a circle passing through the origin then its...

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  9. If circles (x -1)^(2) + y^(2) = a^(2) " and " (x + 2)^(2) + y^(2) = ...

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  10. The centre of circle inscribed in a square formed by lines x^2-8x+1...

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  11. The radius of the circle, having centre at (2, 1), whose one of the ch...

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  12. Find the equation of the circle which touches the circle x^(2) + y^(...

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  13. If circles x^(2) + y^(2) + 2g(1)x + 2f(1)y = 0 and x^(2) + y^(2) ...

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  14. The locus of the point whose co-ordinates are x = 3 cos theta + 2 ...

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  15. The radius of the circle t^(2) x^(2) + t^(2) y^(2) - 2at^(3) x - 2...

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  16. If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c...

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  17. If the co-ordinates of a point P are x = at^(2), y = a sqrt(1 - t...

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  18. Equation of circle which passes through (-1,2) and (1,2) , and touc...

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  19. If a square is inscribed in the circle x^(2) + y^(2) + 2gx +2fy + c= ...

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  20. The equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a circle o...

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