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Assertion (A) : The origin and the roots...

Assertion (A) : The origin and the roots of the equation `x^(2) + ax + b = 0` form an equilateral triangle if `a^(2) = 3b`
Reason (R) : If `z_(1) , z_(2) , z_(3)` are vertices of an equilateral triangle then `z_(1)^(2) + z_(2)^(2) + z_(3)^(2) = z_(1) z_(2) + z_(2) z_(3) + z_(3) z_(1)`

A

Both A and R are true R is correct explanation to A

B

Both A and R are true but R is not correct explanation of A

C

A is true R is false

D

A is false R is true

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The correct Answer is:
A
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
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  8. If a complex number z satisfies |z|^(2)+1=|z^(2)-1|, then the locus of...

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  9. For all complex numbers z(1) , z(1) satisfying |z(1)| = 12 and |z(2) -...

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  10. If |z + 2i| le 1 and z(1) = 6-3i then the maximum value of |iz + z(1) ...

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  12. If omega ne 1 is a cube root of unity satisfying (1)/(a + w) + (1)/(...

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  17. Assertion (A) : The origin and the roots of the equation x^(2) + ax + ...

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  18. Assertion (A) : If z = ilog (2 - sqrt3) then cos z= 2 Reason (R) : c...

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