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The normal at the point (3, 4) on a circ...

The normal at the point (3, 4) on a circle cuts the circle at the point (-1,-2). Then the equation of the circle is

A

`x^(2) +y^(2)+2x -2y - 13 = 0`

B

`x^(2) +y^(2) -2x -2y -11 = 0`

C

`x^(2)+y^(2)-2x +2y +12 = 0`

D

`x^(2) +y^(2) - 2x - 2y+14 = 0`

Text Solution

Verified by Experts

The correct Answer is:
B
Clearly, (3,4) and `(-1,-2)` are end points of diameter. Thus, Equation of circle is:
`(x-3) (x+1) +(y-4) (y+2) =0`
or `x^(2)+y^(2) -2x -2y -11 =0`
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CENGAGE-CIRCLES-Question Bank
  1. The normal at the point (3, 4) on a circle cuts the circle at the poin...

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  2. If a x+b y=10 is the chord of minimum length of the circle (x-10)^2+(y...

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  3. Locus of the poirit of intersection of the pair of perpendicular tange...

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  4. Let A B and C D are two parallel chords of circle whose radius is 5 un...

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  5. about to only mathematics

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  6. A straight line l1 with equation x-2y+10=0 meets the circle with equat...

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  7. If the tangent at the point P on the circle x^2+y^2+6 x+6 y=2 meets th...

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  8. The radius of the circle whose two normals are represented by the equa...

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  9. If the diagram, D C is a diameter of the large circle centered at A, a...

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  10. If 2 x-3 y=0 is the equation of the common chord of the circles, x^2+y...

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  11. If one of the diameters of the circle x^2+y^2-2 x-6 y+6 =0 is a chord ...

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  12. A circle touches the y-axis at the point (0, 4) and cuts the x-axis in...

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  13. In the figure given, two circles with centres Ct and C2 are 35 units a...

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  14. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then fi...

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  15. The maximum distance of the point (4,4) from the circle x^2+y^2-2 x-...

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  16. If the circle (x-a)^2+y^2=25 intersects the circle x^2+(y-b)^2=16 in s...

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  17. If a circle S(x, y)=0 touches at the point (2,3) of the line x+y=5 and...

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