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x ^(2), -4y ^(2) -2x + 16 y -40=0 reprse...

`x ^(2), -4y ^(2) -2x + 16 y -40=0` reprsents

A

a pair of straight lines

B

an ellipse

C

a hyperbola

D

a parabola

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The correct Answer is:
C
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The point from which the tangents to the circles x^(2)+y^(2)-8x+40=0,5x^(2)+5y^(2)-25x+80=0 and x^(2)+y^(2)-8x+16y+160=0 are equal in length,is

A circle is concentric with circle x^(2)+y^(2)-2x+4y-20=0. If perimeter of the semicircle is 36 then the equation of the circle is: [use pi=22/7]x^(2)+y^(2)-2x+4y-44=0(x-1)^(2)+(y+2)^(2)=(126/11)^(2)x^(2)+y^(2)+(y+2y-43=0x^(2)=y^(2)-2x+4y-49=0

I. x^(2) + 4x+4 = 0 II. y^(2) - 8y + 16 = 0

If the variable line 3x-4y+k=0 lies between the circles x^(2)+y^(2)-2x-2y+1=0 and x^(2)+y^(2)-16x-2y+61=0 without x^(2)+y^(2)-16x-2y+61=0 without intersecting or touching either circle,then the range of k is (a,b) where a,b in I Find the value of (b-a).

Equation of the circle concentric with x^(2)+y^(2)-8x-16y+4=0 and touches y- axis is

TARGET PUBLICATION-CIRCLE AND CONICS -COMPETITIVE THINKING
  1. The distance between two directrices of a rectangular hyperbola is 10 ...

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  2. IF t is a parameter, then x = a(t + (1)/(t)) and y = b(t - (1)/(t)) re...

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  3. x ^(2), -4y ^(2) -2x + 16 y -40=0 reprsents

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  4. The locust of the point of intersection of lines sqrt3x-y-4sqrt(3k)=0 ...

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  5. The line segment joining the foci of the hyperbola x^2 – y^2 +1 = 0 is...

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  6. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

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  7. Let the eccentricity of the hyperbola (x ^(2))/(a ^(2))- (y ^(3))/(b ^...

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  8. Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=...

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  9. The length of the straight line x-3y=1, intercept by the hyperbola x^2...

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  10. The locue of the mis-points of the chords of the circel x ^(2) + y ^(2...

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  11. If x + y+ k =0 touches the circle x ^(2) + y^(2) -2x -4y + 3 =0, then ...

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  12. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

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  13. From the point A(0,3) on the circle x^2 +4x + (y-3)^2 = 0 a chord AB ...

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  14. For any a in R, then locus x ^(2) + y^(2) - 2ay + a ^(2) =0 touches ...

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  15. The equation of a diameter of circle x ^(2) + y^(2)-6x + 2y =0, passin...

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  16. The centres of those circles which touch the circle x^(2) + y^(2) - 8...

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  17. Let A be the centre of the circle x^(2)+y^(2)-2x-4y-20=0 .The tangents...

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  18. Let the orthocentre and centroid of a triangle be (-3,5) and B(3,3) r...

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  19. The equation of a parabola which passes through the point of intersect...

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  20. Let the equation of an ellipse be (x^(2))/(144) + (y^(2))/(25) = 1 ....

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