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If the point P[X1+t(X2-X1),y1+t(y2-y1] d...

If the point `P[X_1+t(X_2-X_1),y_1+t(y_2-y_1]` divides AB internally where `(X_1,Y_1)` and B B(`X_2,Y_2`) then, if `tin (0,k)` , find k

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PATHFINDER-CARTESIAN COORDINATES AND STRAIGHT LINE-QUESTION BANK
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  4. A line is such that its segment between the lines 5x-y-4=0 and 3x+4y-4...

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  5. Point A is symmetric to B(4,-1) with respect to the bisector of the 1...

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  6. If 'k' is the ordinate of the point P on the line 3x+2y+10=0 such that...

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  7. The equation of second degree x^2 + 2sqrt2 xy + 2y^2 + 4x + 4 sqrt2 y ...

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  8. If x^2-3xy+lambda y^2+3x-5y+2=0,represent a pair of straight lines, th...

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  9. The equation x^2-3xy+lambda y^2+3x-5y+2=0 where lambda is a real numb...

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

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

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

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

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

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

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

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

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

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

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

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