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Astraight line moves so that the sum of ...

Astraight line moves so that the sum of the reciprocals of its intercepts made on axes is constant. Show that the line passes through a fixed point.

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MARVEL PUBLICATION-STRAIGHT LINE-MISCELLANEOUS MCQS
  1. Astraight line moves so that the sum of the reciprocals of its interce...

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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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