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If the system of linear equations x+2ay+...

If the system of linear equations `x+2ay+az=0, x+3by+bz=0,x+4ch+cz=0` has a non zero solution then a,b,c

A

are in G.P.

B

are in H.P

C

Satisfy a + 2b + 3c = 0

D

are in A.P.

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. IF the roots of a(b-c)x^2+b (c-a) x+c (a-b)=0 are equal then a, ...

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  2. If the sum of the roots of the quadratic equation ax^(2) + bx + c = 0 ...

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  3. If the system of linear equations x+2ay+az=0, x+3by+bz=0,x+4ch+cz=0 ha...

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  4. Let f (x ) be a polynomial function of second degree. If f (1) = f( -1...

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  5. If x gt 1, y gt 1 , z gt 1 are in G.P then (1)/(1 + log x ), (1)/( 1...

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  6. If (a + bx)/(a - bx) = (b + cx)/(b - cx) = (c + dx)/(c - dx)( x ne 0),...

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  7. If a^(x) = b^(y) = c^(z) = d^(t) and a ,b ,c d are in G.P . Then x, y,...

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  8. If a,b and c are in G.P then (b - a)/(b - c) + (b + a)/(b + c)

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  9. If a,b,c are unequal numbers such that a,b,c are in A.P and b - a, c -...

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  10. If 2(y - a) is the H.M between y - x and y - z, then x - a, y -a, z - ...

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  11. Suppose a, b, c are positive resl numbers different from 1. If log(a) ...

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  12. If (1)/(a^(2)), (1)/(b^(2)), (1)/(c^(2)) are in H.P., then

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  13. If b +c, c + a, a + b are in H.P then

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  14. If a, 8, b are in A.P, a, 4 , b are in G.P, a , x, b are in H.P then x...

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  15. Three positive numbers form an increasing G.P. if the middle term in t...

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  16. If a,b,c are real

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  17. If p,q,r are three positive real numbers then the value of (p + q) (q ...

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  18. Suppose a, b, c are in A.P and a^(2), b^(2), c^(2) are in G.P if a lt ...

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  19. If I(n) = int(0)^(pi//4) Tan^(n) x dx then I(2)+I(4), I(3)+I(5), I(4)+...

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  20. If a,b,c are in A.P., p,q,r are in H.P and ap, bq, cr are in G.P., th...

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