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The angle between x^(2)+y^(2)-2x-2y+1=0...

The angle between `x^(2)+y^(2)-2x-2y+1=0` and line `y=lambda x + 1-lambda`, is

A

`0^(@)`

B

`45^(@)`

C

`30^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
The angle between a line and a circle is defined as the angle made by the portion of the line intercepted by the circle at any point on the circle. Here, the line passes through the centre of the circle i.e. it is a diameter. So, required angle is a right angle.
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OBJECTIVE RD SHARMA-CIRCLES-Section I - Solved Mcqs
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  2. Find the locus of the centre of the circle touching the line x+2y=0...

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  3. The angle between x^(2)+y^(2)-2x-2y+1=0 and line y=lambda x + 1-lambd...

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  4. The equation of the smallest circle passing from points (1, 1) and (2,...

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  5. There are two circles whose equation are x^2+y^2=9 and x^2+y^2-8x-6y+n...

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  6. The range of values of lambda for which the circles x^(2)+y^(2)=4 and ...

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

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  8. A chord of the circle x^(2)+y^(2)=a^(2) cuts it at two points A and B ...

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  9. The lengths of the tangents from the points A and B to a circle are l...

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  10. The locus of the centre of the circle passing through the origin O an...

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  11. Statement I The chord of contact of tangent from three points A, B and...

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  12. Find the condition that the chord of contact of tangents from the poin...

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  13. Consider a family of circles which are passing through the point (-...

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  14. A foot of the normal from the point (4, 3) to a circle is (2, 1) and a...

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  15. A circle touches both the coordinate axes and the line x-y=sqrt(2)a, a...

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  16. An acute triangle PQR is inscribed in the circle x^2+y^2= 25. If Q and...

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  17. If AB is the intercept of the tangent to the circle x^2 +y^2=r^2 betwe...

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  18. The locus of the foot of the normal drawn from any point P(alpha, beta...

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  19. The chords of contact of the pair of tangents drawn from each point on...

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  20. The equation of a circle C1 is x^2+y^2-4x-2y-11=0 A circleC2 of radius...

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