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If the lines 2x-3y-5=0 and 3x-4y=7 are d...

If the lines 2x-3y-5=0 and 3x-4y=7 are diameters of a circle of area 154 sq. units, then the equation of the circle is

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The equation of two diameters of a circle of area 154 sq unit are 2x-3y=5 and 3x-4y=7 . Find the equation of the circle.

If the two straight lines 3x - 2y = 8 and 2x - y = 5 lie along two diameters of a circle, which touches the x-axis, find the equation of the circle.

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

The lines 5x - 12 y =5 and 10 x- 24y+3=0 are tangents to the same circle. Then the diameter of the circle is

A circle through the common points of the circles x^2+y^2-x+7y-3=0 and x^2+y^2-5x+y+1=0 has its centre on the line x+y=0.Find the equations of the circle.

If a circle is concentric with the circle x^(2) + y^(2) = 8 and its diameter is 4 units , which of the following will be the equation of the circle ?

The equations of two diameters of a circle are x-2y+1 = 0 and x+y -2 = 0 and the length of the chord intercepted on the straight line 3x + 4y + 8 = 0 by the circle is 6 units. Find the equation of the circle.

If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , then find the equation of the circle on A B as diameter.

The circle x^(2) + y^(2) + 2x - 4y - 11 = 0 and the line x-y+1=0 intersect at A and B. Find the equation to the circle on AB as diameter.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The radius of the tangent circle that can be drawn to pass through the...

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  2. Find the equation of the chord of the circle x^2+y^2=a^2 passing throu...

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  4. Find the middle point of the chord of the circle x^2+y^2=25 intercepte...

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  5. Find the area of the triangle formed by the tangents from the point (4...

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  6. Equation of a circle with centre (4, 3) touching the circle x^2+y^2=1 ...

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  7. Find the equation of the tangent to the circle x^2 + y^2 - 2ax - 2ay +...

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  8. Find the condition if the circle whose equations are x^2+y^2+c^2=2a x ...

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  9. Through a fixed point (h, k) secants are drawn to the circle x^2 +y^2 ...

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  10. A variable chord of the circle x^2+y^2=4 is drawn from the point P(3,5...

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  11. In triangle A B C , the equation of side B C is x-y=0. The circumcente...

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  12. Let a and b represent the lengths of a right triangles legs. If d is t...

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  13. If the chord y = mx + 1 subtends an angle of measure 45^0 at the major...

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  14. (6,0),(0,6),a n d(7,7) are the vertices of a A B C . The incircle of ...

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  15. If O is the origin and O Pa n dO Q are the tangents from the origin to...

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  16. The range of values of r for which the point (-5+r/sqrt2,-3+r/sqrt2) i...

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  17. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

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  18. Statement 1 : The least and greatest distances of the point P(10 ,7)...

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  19. Statement 1 : The number of circles passing through (1, 2), (4, 8) a...

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