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If the equation x^(2)+2x+3=0 and ax^(2)+...

If the equation `x^(2)+2x+3=0 and ax^(2)+bx+c=0, a,b,c in R` have a common root, then `a:b:c` is

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JEE MAINS PREVIOUS YEAR-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If |z""+""4|lt=3 , then the maximum value of |z""+""1| is (1) 4...

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  2. The conjugate of a complex number is 1/(i-1) . Then the complex num...

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  3. The quadratic equations x^2"-"6x""+""a""=""0""a n d""x^2"-"c x""+""...

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  4. If the roots of the equation b x^2+""c x""+""a""=""0 be imaginary, ...

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  5. If |z-4/z|=2 , then the maximum value of |Z| is equal to (1) sqrt(3...

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  6. If alpha and beta are the roots of the equation x^2"-"x""+""1""=""0 , ...

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  7. The number of complex numbers z such that |z""""1|""=""|z""+""1|""=""|...

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  8. Let alpha,beta be real and z be a complex number. If z^2+alphaz""+beta...

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  9. If omega(!=1) is a cube root of unity, and (1""+omega)^7=""A""+""B...

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  10. If z!=1 and (z^2)/(z-1) is real, then the point represented by the ...

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  11. If the equation x^(2)+2x+3=0 and ax^(2)+bx+c=0, a,b,c in R have a comm...

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  12. If z is a complex number of unit modulus and argument q, then a r g...

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  13. The real number k for which the equation, 2x^3+""3x""+""k""=""0 has tw...

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  14. Let a and b be the roots of equation p x^2+q x+r=""0, p!=0. . If p, q,...

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  15. If z is a complex number such that |z|>=2 then the minimum value of |z...

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  16. A complex number z is said to be unimodular if . Suppose z1 and z2 a...

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  17. Let alpha and beta be the roots of equation x^2-6x-2""=""0 . If an=...

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  18. A value of theta for which (2+3isintheta)/(1-2isintheta) purely imagi...

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  19. Let omega be a complex number such that 2omega+1=isqrt(3). If |[1,1,1]...

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  20. If, for a positive integer n , the quadratic equation, x(x+1)+(x-1)(x+...

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