Let A = (cos alpha, sin alpha), B = (co...

Let ` A = (cos alpha, sin alpha), B = (cos beta , sin beta), C = (cos gamma, sin gamma)`. If origin is the orthocentre of the `Delta ABC`, then the value of `sum cos (2 alpha - beta - gamma)=`____________

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FIITJEE-COMPLEX NUMBER-SOLVED PROBLEMS (OBJECTIVE)

Let P(k)(k=1,2,…n) be the nth root of unity. Let z =a +ib and A(k) = R...
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A complex number z is rotated in anticlockwise direction by an angle ...
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one vertex of the triangle of maximum area that can be inscribed in th...
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Let 'z' be a complex number and 'a' be a real parameter such that z^2+...
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Roots of the equation x^n - 1 = 0, n in I
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Let z(1) and z(2) be complex numbers such that z(1)^(2)-4z(2)=16+20i a...
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Let z(1) and z(2) be complex numbers such that z(1)^(2)-4z(2)=16+20i a...
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Let z1 and z2 be complex numbers such that z(1)^(2) - 4z(2) = 16+20i a...
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The locus of any point P(z) on argand plane is arg((z-5i)/(z+5i))=(pi)...
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The locus of any point P (z) on argand plane is "arg" ((z+5i)/(z-5i))=...
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If |z- z1|^2 + |z-z-2|^2 = |z1 - z2|^2 represents a conic C, then for...
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Let a be the real number, Real part of (19+7i)/(9-i) + (20+5i)/(7+6i) ...
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Let A = (cos alpha, sin alpha), B = (cos beta , sin beta), C = (cos g...
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Minimum value of |z1 + 1 | + |z2 + 1 | + |z 1 z 2 + 1 | i...
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If Z1 , Z2 be two non zero complex numbers satisfying the equation |(Z...
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Match the equation given in List - I to the curve, it represents on ...
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if an equilateral triangle ABC with vertices at z1, z2 and z3 be inscr...
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Which of the following options is the only CORRECT combination ?
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Which of the following options is the only CORRECT combination ?
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Which of the following options is the only INCORRECT combination ?
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