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From a point A(1, 1) on the circle `x^(2)+y^(2)-4x-4y+6=0` two equal chords AB and AC of length 2 units are drawn. The equation of chord BC, is

A

4x+3y-12=0

B

x+y=4

C

3x+4y=4

D

x+y=6

Text Solution

Verified by Experts

The correct Answer is:
B

It is evident from the figure that the chord BC is

perpendicular to AP and passes through the centre P(2,2). So, its equation is x+y=4.
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OBJECTIVE RD SHARMA-CIRCLES-Section I - Solved Mcqs
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  2. The equation of a circle is x^2+y^2=4. Find the center of the smallest...

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  3. From a point A(1, 1) on the circle x^(2)+y^(2)-4x-4y+6=0 two equal cho...

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  4. The members of a family of circles are given by the equation 2(x^2 + y...

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  5. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

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  6. If D, E and F are respectively, the mid-points of AB, AC and BC in Del...

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  7. In example 70, equations of the sides QR and RP are respectively

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  8. A point on the line x=4 from which the tangents drawn to the circle 2(...

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  9. The tangents PA and PB are drawn from any point P of the circle x^(2)+...

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  10. Two concentric circles of which smallest is x^(2)+y^(2)=4, have the di...

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  11. If the circle x^2+y^2=a^2 intersects the hyperbola xy=c^2 in four poin...

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

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  13. Let 'a' and 'b' be non-zero real numbers. Then, the equation (ax^2+ by...

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  14. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

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  15. Let AB be a chord of the circle x^2+y^2=r^2 subtending a right angle a...

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  16. if a > 2b > 0 , then positive value of m for which y=mx-bsqrt(1+m^2) i...

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  17. A circle circumscribing an equilateral triangle with centroid at (0,0)...

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  18. Consider four circles (x+-1)^2+(y+-1)^2=1 . Find the equation of the s...

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  19. 13. The radius of a circle is 20cm. Three more concentric circles are ...

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  20. If circles x^(2)+y^(2)+2x+2y+c=0 and x^(2)+y^(2)+2ax+2ay+c=0 where c i...

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