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If `(alpha,beta)` is a point on the circle whose center is on the x-axis and which touches the line `x+y=0` at `(2,-2),` then the greatest value of `alpha` is `4-sqrt(2)` (b) 6 `4+2sqrt(2)` (d) `+sqrt(2)`

A

`4-sqrt(2)`

B

6

C

`4+2sqrt(2)`

D

`4+sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
3
If (a,0) is the center C and P is P is (2,-2) , then `/_ COP =45^(@)`.

Since the equation of OP is `x+y=0`, we have
`OP =2sqrt(2)=CP`
Hence, `OC=4`.
The point on the circle with the greatest x coordinate is B.
`alpha = OP=OC+CB=4+2sqrt(2)`
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  5. The number of intergral value of y for which the chord of the circle x...

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  8. The circle which can be drawn to pass through (1, 0) and (3, 0) and to...

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  12. Any circle through the point of intersection of the lines x+sqrt(3)y=1...

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  13. If the pair of straight lines x ysqrt(3)-x^2=0 is tangent to the circl...

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  14. The condition that the chord xcosalpha+ysinalpha=p=0 of x^2+y^2-a^2=0 ...

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  18. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

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