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Column I|Column II The length of t...

Column I|Column II The length of the common chord of two circles of radii 3 units and 4 units which intersect orthogonally is `k/5` . Then `k` is equal to|p. 1 The circumference of the circle `x^2+y^2+4x+12 y+p=0` is bisected by the circle `x^2+y^2-2x+8y-q=0.` Then `p+q` is equal to|q. 24 The number of distinct chords of the circle `2x(x-sqrt(2))+y(2y-1)=0` , where the chords are passing through the point `(sqrt(2),1/2)` and are bisected on the x-axis, is|r. 32 One of the diameters of the circle circumscribing the rectangle `A B C D` is `4y=x+7.` If `Aa n dB` are the poinst `(-3,4)` and (5, 4), respectively, then the area of the rectangle is|s. 36

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If a circle whose center is (1,-3) touches the line 3x-4y-5=0 , then f...

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

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  3. Column I|Column II The length of the common chord of two circles...

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

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

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

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

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

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

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

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

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  12. Find the greatest distance of the point P(10 ,7) from the circle x^2+y...

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

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

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  15. If points A and B are (1, 0) and (0, 1), respectively, and point C is ...

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  16. If the line x+2b y+7=0 is a diameter of the circle x^2+y^2-6x+2y=0 , t...

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  17. Column I|Column II If the circle lies in the first quadrant, the...

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  18. Find the number of point (x ,y) having integral coordinates satisfying...

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  19. The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordin...

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  20. Statement 1 :The circles x^2+y^2+2p x+r=0 and x^2+y^2+2q y+r=0 touch i...

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