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Find the equations of the circles which pass through the origin and cut off chords of length `a` from each of the lines `y=x and y=-x`

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Find the equations to the circles which pass through the origin and cut off equal chords of length a unit from the lines y = x and y = -x.

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CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the equation of the circle which touches both the axes and the ...

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  2. Find the equation of the circle which touches the x-axis and whose ...

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  3. Find the equations of the circles which pass through the origin and cu...

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  4. Find the radius of the circle (x-5)(x-1)+(y-7)(y-4)=0 .

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  5. Find the equation of the circle which passes through the points (3,-2)...

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  6. Prove that the locus of the centroid of the triangle whose vertices ar...

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  7. If one end of the diameter of the circle 2x^2+2y^2-4x-8y+2=0 is (3,2),...

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  8. If a circle whose center is (1,-3) touches the line 3x-4y-5=0 , then f...

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  9. Prove that the locus of the point that moves such that the sum of the ...

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  10. The number of integral values of lambda for which the equation x^2+y^2...

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  11. Let C1 and C2 be two circles whose equations are x^2+y^2-2x=0 and x^2+...

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  12. Find the points on the circle x^2+y^2-2x+4y-20=0 which are the farthes...

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  13. If the line xcostheta+ysintheta=2 is the equation of a transverse comm...

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  14. Find the values of alpha for which the point (alpha-1,alpha+1) lies in...

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  15. Statement 1 : The equation of chord through the point (-2,4) which is ...

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  16. intdx/(x(x^5 + 1))

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  17. Statement 1 : If two circles x^2+y^2+2gx+2fy=0 and x^2+y^2+2g^(prime)x...

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  18. The greatest distance of the point P (10,7) from the circle x^2+y^2-4x...

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  19. Statement 1 : If the circle with center P(t ,4-2t),t in R , cut the c...

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  20. Find the area of the region in which the points satisfy the inequaties...

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