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If `t a nalpha,t a nbeta,t a ngamma` are the roots of the equation `x^3-p x^2-r=0,` then the value of `(1+tan^2alpha)(1+tan^2beta)(1+tan^2gamma)` is equal to `(p-r)^2` b. `1+(p-r)^2` c. `1+(p-r)^2` d. none of these

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RESONANCE DPP-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the value of k for which of the following set of quadratic equ...

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  2. The least integral value of ' a ' for which the graphs y=a x+1a n d(a-...

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  3. If t a nalpha,t a nbeta,t a ngamma are the roots of the equation x^3-p...

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  4. if (x-a)(x-5)+2=0 has only integral roots where a in I , when value o...

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  5. If alpha,beta,gamma are the real roots of the equation, x^3-3p x^2+3q...

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  6. Find all values of p for which the roots of the equation (p-3)x^2-2px+...

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  7. If z1,z2,z3 are three distinct non-zero complex numbers and a ,b ,c in...

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  8. Statement-1 : Let z be a complex number satisfying |z-3|lt=|z-1|,|z-3|...

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  9. If a^3+b^3+6a b c=8c^3&omega is a cube root of unity then: a , b...

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  10. The image of a complex number z in the imaginary axis is (A) z (...

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  11. If z1,z2,z3 are the vertices of the A B C on the complex plane and ar...

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  12. If 2x=-1+sqrt(3)i , then the value of (1-x^2+x)^6-(1-x+x^2)^6 is 32 (b...

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  13. If i z^3+z^2-z+i=0 , where i=sqrt(-1) , then |z| is equal to 1 (b) 1/2...

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  14. Number of roots which are common to the equations x^3+2x^2+2x+1=0 and ...

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  15. If z1,z2,z3,z4 be the vertices of a parallelogram taken in anticlockwi...

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  16. Area bounded by a r g(z)=pi/3,A rg(z)=(2pi)/3 and A rg(z-2-i2sqrt(3))...

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  17. The greatest value of the modulus of the complex number ' z ' satisfyi...

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  18. The set of points on a Argand diagram which satisfy bot |z|lt=4&A ...

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  19. The number of solutions of z^3+ z =0 is 2 (b) 3 (c) 4 (d) 5

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  20. If omega is an imaginary cube root of unity, then the value of (p+q)^...

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