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If the line y=mx+asqrt(1+m^2) touches th...

If the line `y=mx+asqrt(1+m^2)` touches the circle `x^2+y^2=a^2`, then the point of contact is

A

`(-(am)/sqrt(1+m^(2)),(a)/(sqrt(1+m^(2))))`

B

`((am)/sqrt(1+m^(2)),(a)/(sqrt(1+m^(2))))`

C

`(-(am)/sqrt(1+m^(2)),(a)/(sqrt(1+m^(2))))`

D

`(-(m)/sqrt(1+m^(2)),(a)/(sqrt(1+m^(2))))`

Text Solution

Verified by Experts

The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-CIRCLE-Exercise 1B(Circle-Line)
  1. Show that x + y + 1 = 0 touches the circle x^(2) + y^(2) -3x + 7y 1...

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  2. The piont where the line 4x - 3y + 7 = 0 touches the circle x^(2) + y^...

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  3. If the line y=mx+asqrt(1+m^2) touches the circle x^2+y^2=a^2, then the...

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  4. If the tangent to the circle x^2+y^2=5 at (1,-2) also touches the circ...

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  5. The line y=x+asqrt2 touches the circle x^2+y^2=a^2 at P. The coordinat...

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  6. The length of the tangent from (6,8) to the circle x^(2)+y^(2)=4 is

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  7. Find the length of the tangent form (1,3) to the circle x^(2) + y^(2...

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  8. The length of the tangent from (0,0) to the circle 2x^(2)+2y^2+x-y+5=0...

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  9. The length of the tangent from to the circle x^(2)+y^(2)+2gx+2fy+c=0 t...

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  10. The length of the tangent from a point on the circle x^(2)+y^(2)+4x-6y...

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  11. The length of the tangent from the point (-1,1) to the circle x^(2)+y^...

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  12. If the length of the tangent from (2,3) to circle x^(2)+y^(2)+6x+2ky-6...

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  13. If the length of the tangent from two points A,B to a circle are 6,7 r...

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  14. If theline y=x touches the circle x^(2)+y^(2)+2gx+2fy+c=0 at P where O...

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  15. A circle S=0 with radius sqrt2 touches the line x+y-2=0 at (1,1). Then...

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  16. If the length of the tangent from (h,k) to the circle x^(2)+y^2=16 is ...

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  17. If the length of the tangent from (1,2) to the circle x^(2)+y^2+x+y-4=...

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  18. If the length of the tangents from any point on the circle 15x^(2)+15y...

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  19. If the square of the length of the tangents from a point P to the circ...

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  20. The area of the quadrilateral formed by the tangents from the point (4...

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