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The pair of straight lines joining the origin to the points of intersection of `X^2+Y^2=4` and y=3X +c are perpendicular, if `frac(c^2)(4) =`

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PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
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  2. The equation x^2-3xy+lambda y^2+3x-5y+2=0 where lambda is a real numb...

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  3. The pair of straight lines joining the origin to the points of interse...

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  4. If the angle between the pair of straight lines represented by the equ...

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  5. A rectangle PQRS has its side PQ parallel to the line y= mx and verti...

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  6. A straight lines L through the origin meets the lines x+y=1 and x+y=3 ...

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  7. A variable line is at constant distance p from the origin and meets t...

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  8. The line segment joining A(3,0) and B(5,2) is rotated about A is the a...

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  9. A straight line L with negative slope passes through the point (8,2) a...

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  10. Find the condition in a,b such that the portion of the line ax+by=1, i...

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  11. Find the set of values of lambda, for which the point (sqrt(4-lambda^2...

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  12. Prove that two of the four lines represented by the joint equation ax...

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  13. A variable line makes intercepts on the co-ordinate axes , the sum of ...

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  14. The pair of lines joining the origin to the points of intersection of ...

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  15. The number of points, having both co-ordinates as integers, that lie ...

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  16. Locus of the image of the point (2,3) in the line (2x-3y+4)+k(x-2y+3)=...

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  17. The least positive value of t so that the lines x = t+alpha, y+16 = 0 ...

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  18. If the point (2costheta, 2sintheta), for theta in (0 ,2pi) lies in th...

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  19. Number of points having distance sqrt5 from the straight line x-2y+1 =...

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  20. For agtbgtcgt0, the distance between (1 ,1) and the point of intersect...

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