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If a >2b >0, then find the positive valu...

If `a >2b >0,` then find the positive value of `m` for which `y=m x-bsqrt(1+m^2)` is a common tangent to `x^2+y^2=b^2` and `(x-a)^2+y^2=b^2dot`

A

`(2b)/(sqrt((a^(2)-4b^(2))))`

B

`(sqrt((a^(2)-4b^(2))))/(2b)`

C

`(2b)/(a-2b)`

D

`(b)/(a-2b)`

Text Solution

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The correct Answer is:
A
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ARIHANT MATHS-CIRCLE -Exercise For Session 4
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  2. The line 3x -4y = k will cut the circle x^(2) + y^(2) -4x -8y -5 = 0 a...

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  3. If the line 3x-4y-lambda=0 touches the circle x^2 + y^2-4x-8y- 5=0 a...

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  4. Find the derivative of x^2 - (a + b)x + ab for some constants a and b ...

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  5. If a circle, whose centre is (-1,1) touches the straight line x+2y = 1...

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  6. The area of the triangle formed by the tangent at the point (a, b) to ...

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  7. Find the equation of the tangent to the circle x^2+y^2+4x-4y+4=0 which...

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  8. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

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  9. The angle between a pair of tangents from a point P to the circle x^(2...

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  10. The normal at the point (3,4) on a circle cuts the circle at the poins...

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  11. The line ax +by+c=0 is an normal to the circle x^(2)+y^(2)=r^(2). The...

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  12. If the straight line ax + by = 2 ; a, b!=0, touches the circle x^2 +y^...

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  13. Show that the for all values of theta,xsintheta-y=costheta=a touches t...

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  14. Find the equation of the tangents to the circle x^(2)+y^(2)-2x-4y-4=0 ...

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  15. Find the derivative of (ax^2 + b)^2 for some constants a and b .

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  16. The line 4y - 3x + lambda =0 touches the circle x^2 + y^2 - 4x - 8y - ...

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  17. Find the derivative of (x - a)/(x - b) for some constants a and b .

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