VIVEKANANDA COLLEGE, ALIPURDUAR

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SUB: MATHEMATICS SEM:- 1ST PAPER:- DSC P

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1.If the ratio is (z-i)/(z+i) purely imaginary the point z lies on a

A) circle

B) hyperbola

C) parabola

D) None of these

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2. Which of the following statement is false

A) The eigen values of a unitary matrix are of unit modulus.

B) The eigen values of an orthogonal matrix are of unit modulus.

C) The eigen values of a real symmetric matrix are real.

D) The eigen values of a real skew symmetric matrix are imaginary

Clear selection

3. Which of the following statement is false

A) Every square matrix satisfies its own characteristic equation.

B) The eigen values of a unitary matrix are of unit modulus.

C) The eigen values of an orthogonal matrix are of unit modulus

D) The characteristic roots of a Hermitian matrix are all imaginary.

Clear selection

4. If the ratio is (z-i)/(z-1) purely imaginary the point z lies on a

A) Circle

B) Ellipse

C) Parabola

D) None of these

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5. The equation x5+x3-2x2+x-2=0 has

A) Atleast one pair of imaginary roots

B) Atleast one pair of real roots

C) No imaginary roots

D) None of these

Clear selection

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