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A straight line L with negative slope pa...

A straight line L with negative slope passes through the point (8,2) and cuts the positive coordinate axes at points P and Q. As L varies, the absolute minimum value of OP+OQ is (O is origin)

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`2a+b+b^2`
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PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
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  2. The line segment joining A(3,0) and B(5,2) is rotated about A is the a...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. A ray light along x+sqrt3y = sqrt3 gets reflected upon reaching the x-...

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  16. The x co -ordinate of the incentre of the triangle that has the coordi...

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  17. The equation 2x^2+5xy - 12y^2=0 represents a

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  18. The number of lines which pass through the point (2 , -3) and are the ...

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  19. If the line 2x + y = k passes through the point which divides the line...

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  20. A line is drawn through the point ( 1, 2) to meet the coordinate axes ...

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