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A circle C whose radius is 1 unit, touch...

A circle C whose radius is 1 unit, touches the x-axis at point A. The centre Q of C lies in first quadrant. The tangent from origin O to the circie touches it at T and a point P lies on it such that `DeltaOAP` is a right angled triangle at A and its perimeter is 8 units. The length of `QP` is

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The correct Answer is:
1
Now,` OA=2.`
So, center of the circle is `Q (2,1)`
Equation of circles is `( x-2)^(2)+ (y -1)^(2)=1`
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CENGAGE-CIRCLE -Exercise (Comprehension)
  1. Consider the relation 4l^(2)-5m^(2)+6l+1=0 , where l,m in R The num...

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  2. A circle C whose radius is 1 unit, touches the x-axis at point A. The ...

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  3. A circle C whose radius is 1 unit, touches the x-axis at point A. The ...

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  4. Find the derivative of y = ln 4x

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  5. P is a variable point of the line L = 0. Tangents are drawn to the cir...

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  6. P is a variable point on the line L=0 . Tangents are drawn to the circ...

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  7. P is a variable point on the line L=0 . Tangents are drawn to the circ...

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  8. To the circle x^(2)+y^(2)=4, two tangents are drawn from P(-4,0), whic...

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  9. To the circle x^(2)+y^(2)=4, two tangents are drawn from P(-4,0), whic...

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  10. To the circle x^(2)+y^(2)=4, two tangents are drawn from P(-4,0), whic...

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  11. Let alpha chord of a circle be that chord of the circle which subtends...

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  12. Let alpha chord of a circle be that chord of the circle which subtends...

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  13. Let alpha chord of a circle be that chord of the circle which subtends...

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  14. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

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  15. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

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  16. Two variable chords AB and BC of a circle x^(2)+y^(2)=a^(2) are such t...

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  17. Give two circles intersecting orthogonally having the length of common...

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  18. Give two circles intersecting orthogonally having the length of common...

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  19. Give two circles intersecting orthogonally having the length of common...

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  20. In the given figure, there are two circles with centers A and B. The c...

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