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Show that the equation (3-2k) x-(2+k)y...

Show that the equation
(3-2k) x-(2+k)y=5-k,
where k is real represents a family of lines all passing through a fixed point. Find the co-ordinates of this fixed point.

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MARVEL PUBLICATION-STRAIGHT LINE-MISCELLANEOUS MCQS
  1. Show that the equation (3-2k) x-(2+k)y=5-k, where k is real repres...

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  2. If the point P(p,q) is equidistant from the points A(a+b,b-a)and B(a-b...

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  3. Prove that the points (a+b+c),(b,c+a) and (c,a+b) are collinear.

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  4. Points A (a,3) and C (5,b) are opposite vertices of a rectangle ABCD. ...

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  5. If a,b,c are non-zero real numbers in H.P then the line (x)/(a)+(y)/(...

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  6. Let A (2,-3) and B(-2,1) be vertices of a triangle ABC. If the centroi...

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  7. For any real values of a,b,c such that 3a, +2b+4c=0, line ax+by+c=0 pa...

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  8. The equations of sides of a triangle are x+3y=0 , 4x-3y=5 and 3x-y=0....

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  9. Ifa,b,c are in A.P., a,x,b,are in G.P and b,y,c are also in G.P then t...

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  10. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find t...

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  11. The length of perpendicular from the point ( a cos prop, a sin prop) ...

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  12. the line x/a-y/b=1 cuts the x-axes at P.the equation of the line passe...

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  13. If (-4,5) is a vertex of a square and one of its diagonal is 7x-y+8-0....

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  14. If a,b,c gt 0, then area of the triangle formed by the line ax+by+c=0 ...

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  15. If the line ax+by+c=0 always passes through the fixed point (1,-2) th...

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  16. A square of area 25 sq.units is formed by taking two sides as 3x + 4y ...

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  17. Segment joining (1,2) and (-2,1) is divided by the line 3x+4y=7 in the...

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  18. The medians AD and BE of the triangle with vertices A(0, b), B(0, 0) a...

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  19. A triangle are (6,0).(0, 6) and (6,6). If distance between circumcentr...

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  20. If a vertex of a triangle is (1,1) , and the middle points of two side...

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  21. Find the points on the line x+y=4 that lies at a unit distance from th...

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