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A rhombus is inscribed in the region common to the two circles `x^2+y^2-4x-12=0` and `x^2+y^2+4x-12=0` with two of its vertices on the line joining the centers of the circles. The are of the rhombus is (A) `8sqrt(3)` sq.units (B) `4sqrt(3)` sq.units (C) `6sqrt(3)` sq.units (D) none of these

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A rhombus is inscribed in the region common to the two circles x^2+y^2-4x-12=0 and x^2+y^2+4x-12=0 with two of its vertices on the line joining the centers of the circles. The area of the rhombus is (a) 8sqrt(3)s qdotu n i t s (b) 4sqrt(3)s qdotu n i t s 6sqrt(3)s qdotu n i t s (d) none of these

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The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is (a) 3sqrt(5) (b) 5sqrt(3) (c) 2sqrt(5) (d) 5sqrt(2)

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

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  2. The equation of the chord of the circle x^2+y^2-3x-4y-4=0 , which pas...

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  3. A rhombus is inscribed in the region common to the two circles x^2+y^2...

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  4. In a triangle A B C , right angled at A , on the leg A C as diameter, ...

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  5. Two congruent circles with centered at (2, 3) and (5, 6) which inter...

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  6. The locus of the center of the circle such that the point (2,3) is t...

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  7. The value of 'c' for which the set {(x,y)|x^2+y^2+2x le 1}nn{(x,y)|x-y...

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  8. A circle of radius unity is centered at thet origin. Two particles tar...

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  9. Two circles with radii a and b touch each other externally such that t...

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  10. A circle is inscribed into a rhombous ABCD with one angle 60. The dist...

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  11. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

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  12. The straight line 2x-3y = 1 divides the circular region x^2+ y^2 le6 i...

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  13. Let A B C D be a quadrilateral with area 18 , side A B parallel to ...

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  14. Consider a family of circles which are passing through the point (-1,1...

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  15. If the conics whose equations are S-=sin^2thetax^2+2h x y+cos^2thetay^...

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  16. The range of values of lambda,(lambda>0) such that the angle theta bet...

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  17. The equation of the incircle of equilateral triangle A B C where B-=(2...

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  18. f(x , y)=x^2+y^2+2a x+2b y+c=0 represents a circle. If f(x ,0)=0 has e...

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  19. The area bounded by the curves x^2+y^2=1,x^2+y^2=4 and the pair of lin...

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  20. The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-...

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