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If the circle x^2 + y^2 = a^2 cuts off a...

If the circle `x^2 + y^2 = a^2` cuts off a chord of length `2b` from the line `y = mx +c`, then

A

`sqrt(a^(2)(a+m^(2))) lt c`

B

`sqrt(a^(2)(1-m^(2)))ltc`

C

`sqrt(a^(2)(a+m^(2))) gt c`

D

`sqrt(a^(2)(1-m^(2)))gtc`

Text Solution

Verified by Experts

The correct Answer is:
C
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OBJECTIVE RD SHARMA-CIRCLES-Exercise
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  2. A square is inscribed in the circle x^(2) + y^(2) -2x + 4y + 3 = 0 It...

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  3. If the circle x^2 + y^2 = a^2 cuts off a chord of length 2b from the l...

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  4. The area of the circle centred at (1,2) and passing through (4,6) is

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  5. For the equation ax^(2) +by^(2) + 2hxy + 2gx + 2fy + c =0 where a n...

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  6. The equation of the circle passing through (4, 5) having the centre (2...

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  7. Locus of centre of a circle of radius 2, which rolls on the outside of...

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  8. Four distinct points (2k,3k) , (1,0), (0,1) and (0,0) lies on a circl...

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  9. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

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  10. A line is drawn through a fix point P(alpha, beta) to cut the circle x...

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  11. The equation of circles passing through (3, -6) touching both the axes...

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  12. The centre of a circle passing through the points (0, 0), (1, 0) and t...

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  13. If 2x-4y=9 and 6x-12y+7=0 are parallel tangents to circle, then radiu...

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  14. One of the diameters of the circle x^2+y^2-12x+4y+6=0 is given by

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  15. The length of the chord cut off by y=2x+1 from the circle x^2+y^...

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  16. Area of the circle in which a chord of lengthsqrt2 makes an angle pi/2...

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  17. The coordinates of the middle point of the chord cut-off by 2x-5y+18=0...

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  18. Find the equation of the circle which passes through the points (1,-2)...

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  19. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

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  20. Equation of the circle with centre on the y-axis and passing through t...

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