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x^2-x y+y^2-4x-4y+16=0 represents a. ...

`x^2-x y+y^2-4x-4y+16=0` represents

a. a point

b. a circle

c. a pair of straight line

d. none of these

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the range of f(x)(x^2-x+1)/(x^2+x+1)

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  2. If ((3-z1)/(2-z1))((2-z2)/(3-z2))=k(k >0) , then prove that points A(z...

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  3. x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. ...

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  4. If (x+i y)^5=p+i q , then prove that (y+i x)^5=q+i pdot

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  5. If alpha,beta are the nonzero roots of a x^2+b x+c=0 and alpha^2,beta^...

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  6. Find real theta such that (3+2isintheta)/(1-2isintheta) is purely real...

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  7. If the roots of the equation a x^2+b x+c=0 are of the form (k+1)/k and...

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  8. Prove that tan(iloge((a-ib)/(a+ib)))=(2ab)/(a^2-b^2) (where a, b in ...

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  9. If alpha,beta are the roots of a x^2+b x+c=0a n dalpha+h ,beta+h are t...

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  10. Find the real part of (1-i)^(-i)dot

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  11. The equation (x^2+x+1)^2+1=(x^2+x+1)(x^2-x-5) for x in (-2,3) will h...

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  12. Convert of the complex number in the polar form: 1-i

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  13. If alpha,beta are the roots of a x^2+c=b x , then the equation (a+c y)...

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  14. If z=r e^(itheta) , then prove that |e^(i z)|=e^(-r sintheta)

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  15. If the roots of the equation x^2+2a x+b=0 are real and distinct and th...

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  16. Z1!=Z2 are two points in an Argand plane. If a|Z1|=b|Z2|, then prove t...

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  17. If the ratio of the roots of a x ^2+2b x+c=0 is same as the ratio of r...

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  18. Find real value of x and y for which the complex numbers -3+i x^2y ...

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  19. Show that ((x+b)(x+c))/((b-a)(c-a))+((x+c)(x+a))/((c-b)(a-b))+((x+a)(x...

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  20. Show that e^(2m itheta)((icottheta+1)/(i cottheta-1))^m=1.

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