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Let Ar ,r=1,2,3, , be the points on th...

Let `A_r ,r=1,2,3, ` , be the points on the number line such that `O A_1,O A_2,O A_3dot` are in `G P ,` where `O` is the origin, and the common ratio of the `G P` be a positive proper fraction. Let `M ,` be the middle point of the line segment `A_r A_(r+1.)` Then the value of `sum_(r=1)^ooO M_r` is equal to

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CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , under...

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  2. If a straight line through the origin bisects the line passing through...

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  3. Let Ar ,r=1,2,3, , be the points on the number line such that O A1,O...

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  4. The vertices of a parallelogram A B C D are A(3,1),B(13 ,6),C(13 ,21),...

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  5. Point A and B are in the first quadrant; point O is the origin. If the...

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  6. In a A B C ,A-=(alpha,beta),B-=(1,2),C-=(2,3), point A lies on the li...

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  7. If y=ae^(mx)+be^(-mx), then (d^2y)/dx^2-m^2y is equals to (a)....

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  8. The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the ...

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  9. The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtu...

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  10. Consider the triangle whose vertices are (0,0),(5,12) and (16 ,12) Fi...

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  11. A Point A divides the join of P(-5,1) and Q(3.5) in the ratio k:1. The...

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  12. Find the equation of the circle having center at (2,3) and which tou...

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  13. If the lines x+y=6 and x+2y=4 are diameters of the circle which passes...

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  14. Find the equation of the circle with radius 5 whose center lies on the...

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  15. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

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  16. Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

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  17. If x^2+y^2-2x+2a y+a+3=0 represents the real circle with nonzero radiu...

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  18. Find the equation of the circle having radius 5 and which touches line...

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  19. If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle...

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  20. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then fi...

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