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A foot of the normal from the point (4, ...

A foot of the normal from the point (4, 3) to a circle is (2, 1) and a diameter of the circle has the equation 2x - y = 2. Then the circle is:

A

`x^2+y^2-2x-1=0`

B

`x^2+y^2-2y-1=0`

C

`x^2+y^2+2x-1=0`

D

`x^2+y^2+2y-1=0`

Text Solution

Verified by Experts

The correct Answer is:
A
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MODERN PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -MCQs LEVEL - II
  1. The number of integral values of k for which : x^2+y^2 +kx +(1-k)y+5=0...

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  2. If the centroid of an equilateral triangle is (1, 1) and its one verte...

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

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  4. A tangent to the circle x^2 + y^2 = 1 through the point (0, 5) cuts th...

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  5. The abscissae of two points P and Q are the roots of the equation x^2...

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  6. If the polar of a point P w.r.t. the circle x^2+y^2=a^2 touches the c...

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  7. The locus of the poles of the line ax + by + c = 0 w.r.t. circles whic...

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  8. Length of tangent drawn from any point on the circle x^2+y^2+2gx + 2fy...

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  9. The tangents drawn from the origin to the circle : x^2+y^2-2gx-2fy+f^2...

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  10. If a circle of constant radius 3k passes through the origin and meets ...

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  11. If the chord of contact of tangents from a point P (x1,y1) to the circ...

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  12. The equation of a circle which has a tangent 3x + 4y = 6 and two norma...

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  13. The tangent to x^2 + y^2= 9, which is parallel to y-axis and does not ...

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  14. The circle x^2 + y^2 - 6x - 10y + k = 0 does not touch or intersect th...

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  15. Two tangents to the circle x^2 + y^2 = 4 at the points A and B meet at...

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  16. If the radical axis of the circles x^2+y^2+2gx+2fy+c=0 and 2x^2+2y^2+3...

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  17. The equation of the circle having its centre on the line x +2y - 3 = 0...

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  18. The number of common tangents to the circles x^(2) + y^(2) = 4 and x^(...

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  19. Number of common tangents to the circles : x^2+y^2 -6x-14y+48=0 and x^...

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  20. The locus of the centre of a circle which cuts orthogonally the circle...

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