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Show that the straight line x(a+2b)+y(a+...

Show that the straight line `x(a+2b)+y(a+3b)=(a+b)` for different values of a and b passes through the fixed point . Find that point

A

(2,1)

B

(2,-1)

C

(-2,1)

D

(-2,-1)

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The correct Answer is:
B
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MARVEL PUBLICATION-STRAIGHT LINE-MISCELLANEOUS MCQS
  1. The equation of the line passing through (1,-2) and parallel to the li...

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  2. The equation of the line passing through (2,-4) and perpendicular form...

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  3. · The co-ordinates of foot of the perpendicular from the point (2, 4) ...

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  4. Find the coordinates of the foot of the perpendicular drawn from the p...

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  5. The value of k such that the lines 2x-3y+k=0,3x-4y-13=0 and 8x-11y-33=...

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  6. A line passes through the point (2,2) and is perpendicular to the lin...

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  7. A square is constructed on the portion of x + y = 5, which is interce...

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  8. The equation of the line with gradient -3/2 which is concurrent with t...

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  9. The equations ax+by+c=0 and dx+ey+f=0 represent the same straight lin...

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  10. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

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  11. If the lines ax+12y+1=0 bx+13y+1=0 and cx+14y+1=0 are concurrent then ...

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

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  13. The new co-ordinates of the point (4,5) when the origin is shified to ...

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  14. A straight line moves so that the sum of the reciprocals of its interc...

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  15. the lines (p+2q)x+(p-3q)y=p-q for different values of p&q passes troug...

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  16. Show that the straight line x(a+2b)+y(a+3b)=(a+b) for different values...

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  17. The diagonals of a parallelogram ABCD are along are the lines x+3y=4 a...

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  18. If a+b+c=0 then the line 3ax+by+2c=0 passes through the fixed point

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  19. Equation of a straight line passing through the point of intersection ...

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  20. The lines x cos alpha + y sin alpha = P1 and x cos beta + y sin beta =...

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