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The equation of the circle passing throu...

The equation of the circle passing through (1,5) and (4,1) and touching y-axis is ` x^(2) + y^(2) -5x -6y + 9 + lamda (4x + 3y-19) = 0` where ` lamda ` is equal to

A

`0 , - 40/9`

B

0

C

`40/9`

D

`(-40)/9`

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The correct Answer is:
A
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SURA PUBLICATION-TWO DIMENSIONAL ANALYTICAL GEOMETRY - II -Exercise 5.6
  1. The equation of the circle passing through (1,5) and (4,1) and touchi...

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  2. The eccentricity of the yhyperbola whose latus rectum is 8 and conjug...

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  3. The circle x^(2) + y^(2) = 4 x + 8 y + 5 intersects the line 3x -4y ...

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  4. The length of the diameter of the circle which touches the x-axis at ...

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  5. The radius of the circle 3x^(2)+ by^(2) + 4bx - 6by + b^(2) = 0

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  6. The centre of the circle inscribed in a square formed by the lines ...

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  7. The equation of the normal to the circle x^(2) + y^(2) -2x- 2y + 1=0...

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  8. If P (x,y) be any point on 16x^(2) + 25y^(2) = 400 with foci F(1)...

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  9. The radius of the circle passing through the point (6,2) two of whose...

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  10. The area of quardrilateral formed with foci of the hyperbolas x^(2)/a...

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  11. If the normals of the paralbola y^2=4x drawn at the end points of its...

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  12. If x + y = k is a normal to the parabola y^(2) = 12x then the va...

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  13. The ellipse E(1) : x^(2)/9 + y^(2)/4 =1 is inscribed in a rectangle ...

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  14. Tangents are drawn to the hyperbola x^(2)/9 - y^(2)/4 parallel to th...

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  15. The equation of the circle passing through the foci ellispe x^(2)/16 ...

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  16. Let C be the circle with centre at (1,1) and radius =1 . If T is the ...

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  17. Consider an ellispe whose centre is of the origin and its major axis...

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  18. Area of the greatest rectangle inscribed in the ellipse x^(2)/a^(2) ...

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  19. An ellipse has OB, as semi minor axis, F and F' its foci and the angle...

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  20. The eccentricity of the ellispse (x -3)^(2) + ( y-4)^(2) = y^(2)/9 is

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