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The equation of the line passing through the points of intersection of the circles `3x^2 +3y^2-2x + 12y-9=0 and x^2+y^2+6x+2y-15=0` is

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Find the equation of the circle passing through the points of intersection of the circles x^2 + y^2 - 2x - 4y - 4 = 0 and x^2 + y^2 - 10x - 12y +40 = 0 and whose radius is 4.

The equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0 and x^2 + y^2 + 2x - 6y - 6=0 and having its centre on y=0 is : (A) 2x^2 + 2y^2 + 8x + 3 = 0 (B) 2x^2 + 2y^2 - 8x - 3 = 0 (C) 2x^2 + 2y^2 - 8x + 3 = 0 (D) none of these

The equation of the circle passing through (1,2) and the points of intersection of the circles x^2+y^2-8x-6y+21=0 and x^2+y^2-2x-15=0 is

Find the equation of the circle passing through the point of intersection of the circles x^2 + y^2 - 6x + 2y + 4 = 0, x^2 + y^2 + 2x - 4y -6 = 0 and with its centre on the line y = x.

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is (a) x^2+y^2+4x+4y-8=0 (b) x^2+y^2-3x+4y+8=0 (c) x^2+y^2+x+y=0 (d) x^2+y^2-3x-3y-8=0

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is x^2+y^2+4x+4y-8=0 x^2+y^2-3x+4y+8=0 x^2+y^2+x+y=0 x^2+y^2-3x-3y-8=0

The equation of the circle passing through the point of intersection of the circles x^2+y^2-4x-2y=8 and x^2+y^2-2x-4y=8 and the point (-1,4) is x^2+y^2+4x+4y-8=0 x^2+y^2-3x+4y+8=0 x^2+y^2+x+y=0 x^2+y^2-3x-3y-8=0

The equation of the circle which passes through the points of intersection of the circles x^(2)+y^(2)-6x=0 and x^(2)+y^(2)-6y=0 and has its centre at (3/2, 3/2), is

The equation of the circle having its centre on the line x+2y-3=0 and passing through the points of intersection of the circles x^2+y^2-2x-4y+1=0a n dx^2+y^2-4x-2y+4=0 is

Find the equation of the circle passing through the points of intersections of circles x^2+y^2+6x+4y-12=0, x^2+y^2-4x-6y-12=0 , and having radius sqrt13 .

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

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  2. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

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  3. The equation of the line passing through the points of intersection of...

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  4. The locus of the mid-point of the chord of contact of tangents drawn f...

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  5. If the tangent at the point P(2,4) to the parabola y^2=8x meets the pa...

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  6. Find the locus of the midpoints of the portion of the normal to the ...

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  7. An equilateral triangle is inscribed in the parabola y^2=4a x , such t...

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  8. M is the foot of the perpendicular from a point P on a parabola y^2=4a...

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  9. Find the locus of the middle points of the chords of the parabola y^2=...

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  10. A quadrilateral is inscribed in a parabola y^2=4a x and three of its ...

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  11. A right-angled triangle A B C is inscribed in parabola y^2=4x , where ...

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  12. Let there be two parabolas y^2=4a x and y^2=-4b x (where a!=ba n da ,b...

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  13. The equation of aparabola is y^2=4xdotP(1,3) and Q(1,1) are two poin...

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  14. A P is perpendicular to P B , where A is the vertex of the parabola y^...

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  15. Find the value of P such that the vertex of y=x^2+2px+13 is 4 units ab...

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  16. The point (a ,2a) is an interior point of the region bounded by the pa...

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  17. Find the point where the line x+y=6 is a normal to the parabola y^2=8x...

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  18. Find the equation of the tangent to the parabola 9x^2+12 x+18 y-14=0 w...

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  19. Find the angle between the tangents drawn to y^2=4x , where it is inte...

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  20. How many distinct real tangents that can be drawn from (0,-2) to th...

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