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If the line y = sqrt3x cuts the curve x^...

If the line `y = sqrt3x` cuts the curve `x^4 + ax²y + bxy + 2x + dy + 6 = 0` at `A, B, C `and `D,` then value of `OA .OB.OC. OD` is, (where O is origin) -

A

`a - 2b+c`

B

`2c^2d`

C

96

D

6

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The correct Answer is:
C
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FIITJEE-STRAIGHT LINE -SOLVED PROBLEMS (OBJECTIVE)
  1. The diagonals of a rhombus ABCD intersect at the point (1,2) and its s...

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  2. If the line y = sqrt3x cuts the curve x^4 + ax²y + bxy + 2x + dy + 6 =...

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  3. A line through the origin divides parallelogram with vertices (10,45) ...

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  4. ABC is an isosceles right anlged triangle with AB = BC = 1 . If P is a...

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  5. If the straight lines ax+by+c=0 and xcosalpha+ysinalpha=c encloses an ...

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  6. Prove that the straight lines joining the origin to the points of inte...

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  7. The value of k for which the equation 2x^2+5y^2-2ky+4x+6y=0 represent ...

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  8. Triangle ABC lies in the Cartesian plane and has an area of 70 sq. uni...

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  9. Through the point P(alpha,beta) , where alphabeta>0, the straight line...

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  10. The equation of smaller circle of radius sqrt3-1 in l^(st) quadrant ha...

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  11. The coordinates of the points (s) on the line x + y = 5 , which is/ ar...

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  12. ABCD is a square Points E(4,3) and F(2,5) lie on AB and CD, respective...

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  13. ABCD is a rectangle with A(-1,2) , B (3,7) and AB : BC = 4 : 3 . If d ...

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  14. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

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  15. Two consecutive sides of a parallelogram are 4x+5y=0a d n7x+2y=0. If t...

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  16. Two adjacent sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0...

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  17. Two adjacent sides of a parallelogram are 4x + 5y = 0 and 7x + 2y = 0...

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  18. The line 6x + 8y - 48 intersects the co - ordinate axis at A and B res...

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  19. The line 6x + 8y - 48 intersects the co - ordinate axis at A and B res...

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  20. Statement -1 : The lines ai x + bi y + c i=0,i={1,2,3} are concurrent ...

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