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The line y=mx+c touches x^(2)+y^(2)=a^(2...

The line `y=mx+c` touches `x^(2)+y^(2)=a^(2)hArr`

A

`2c^(2)=a^(2)(1+m^(2))`

B

`c^(2)=a^(2)(1+m^(2))`

C

`c^(2)+a^(2)=a^(2)m^(2)`

D

`c^(2)+m^(2)=a^(2)(1+m^(2))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-CIRCLES-PRACTICE EXERCISE
  1. The pair of tangents from (2,1) to the circle x^(2)+y^(2)=4 is

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  2. The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1...

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  3. The line y=mx+c touches x^(2)+y^(2)=a^(2)hArr

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  4. The radius of the circle which has the lines x+y-1=0, x+y-9=0 as tange...

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  5. Equation of the tangent to the circle x^(2)+y^(2)=3, which is inclined...

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  6. Find the equation of the normal to the circle x^(2) +y^(2) -4x -6y ...

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  7. The number of circles that touch all the 3 lines 2x+y=3, 4x-y=3, x+y=2...

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  8. P(-9,-1) is a point on the circle x^2+y^(2)+4x+8y-38=0. The equation t...

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  9. The line x cos alpha+y sin alpha=p touches the circle x^(2)+y^(2)-2ax ...

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  10. The equation of the tangent to the circle x^(2)+y^(2)+4x-4y+4=0 which ...

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  11. The tangent at (3,4), (4,-3) to the circle x^(2)+y^(2)=25" are"

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  12. If O is the origin OP, OQ are the tangent to the circle x^(2)+y^(2)+2g...

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  13. Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y 1...

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  14. Find the equation of the circles which touch 2x-3y+1=0 at (1,1) and ha...

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  15. If the equatio of one tangent to the circle with centre (2,-1) from th...

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  16. The normal of the circle (x- 2)^(2)+ (y- 1)^(2) =16 which bisects the ...

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  17. The equation of the diameter of the circle x^(2)+y^(2)+2x-4y=4=0 that ...

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  18. The angle between the tangents to the circle with centre (4,5) drawn f...

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  19. The locus of the point of intersection of two perpendicular tangents t...

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  20. Locus of point of intersection of perpendicular tangents to the circle...

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