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

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

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

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

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

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  8. If the point P(x, y) is equidistant from the points A(a + b, b-a) and ...

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  9. The points (a,b+c),(b,c+a) and (c,a+b)

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

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  11. If a , b ,c are in harmonic progression, then the straight line ((x/a)...

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

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

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

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  15. 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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  16. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then the va...

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

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

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

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

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