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Show that the straight lines given by `(2+k)x+(1+k)y=5+7k` for different values of `k` pass through a fixed point. Also, find that point.

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The correct Answer is:
`(-2,9)`
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NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
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  8. Find the equation of a line passing through the point of intersection ...

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  9. Find the equation of the line passing through (-3,5) and perpendicular...

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  10. The co-ordinates of the vertices of DeltaABC are A(-2,4), B(5,5) and C...

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  11. Find the equation of a line which passes through the point (5,1) and c...

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  12. The co-ordinates of three vertices of a parallelogram ABCD are A(1,0) ...

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  13. The perpendicular drawn from origin to the line y=mx+c meets the line ...

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  14. The perpendicular distance between the lines 3x+4y=6 and 3x+4y+4=0 is ...

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  15. The equation of the perpendicular bisector of line AB is x+2y=8 and th...

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  16. Equation of a line passing through the point (2,3) and perpendicular t...

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  17. In what ratio, the line joining (-1,1) and (5,7) is divided by the l...

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  18. Find the image of the point (3, 8)with respect to the line x + 3y = 7...

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  19. The locus of the points of intersection of the lines x cos theta+y sin...

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  20. A straight line through the point (2,2) intersects the lines sqrt(3)x+...

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