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if z1=1+isqrt3,z2=sqrt3-ishow that (a)ar...

if `z_1=1+isqrt3`,`z_2=sqrt3-i`show that (a)arg `(z_1z_2)=arg(z_1)+arg(z_2)`and (b) `arg(z_1//z_2)=arg(z_1)-arg(z_2)`

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If z_(1)=1+isqrt3and z_(2)=sqrt3-i, show that arg(z_(1)z_(2))=argz_(1)+argz_(2)

If z_(1)=1+isqrt3and z_(2)=sqrt3-i, show that arg""(z_(1))/(z_(2))=argz_(1)-argz_(2).

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If z_(1)=-3+4i and z_(2)=12-5i, "show that", |(z_(1))/(z_(2))|=(|z_(1)|)/(|z_(2)|)

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 12-EXERCISE
  1. Find the term independent of x of the expansion of (1+x)^3(x-1/x)^6

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  2. If pth, qth and rth terms of on AP are a. b and c, then show that a(q...

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  3. A straight line form a right angled triangle with the axes. If the len...

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  4. If the co-ordinate of vertices of a triangle are (10, 4), (-4, 9) and ...

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  5. Find the co-ordinate of a point on the circle x^2 +y^2 - 4x + 2y - 20...

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  6. The co-ordinate of the vertices of a triangle are A(0, 2, -3), B(- 2,...

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  7. Differentiate x+1/x(x!=0)at x = 1, with respect to x, with the help of...

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  8. Evaluate : lim(xrarr0)sin(x^2+4x)/(x^3-5x^2+2x)

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  9. ‘If p' and q are rational numbers, then pq is also rational convert t...

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  10. ‘Square of a whole number is positive or negative’-find the validity o...

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  11. If two numbers a and b are-chosen at random from the 1st 30 natural nu...

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  12. Find A.M. and SD of the following distribution table :

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  13. Using vector method in a triangle , prove that, (i) a/(sinA)=b/(sinB...

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  14. If alpha,beta positive acute angles and sec(alpha+beta)-sec(alpha-beta...

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  15. Draw the graph and find the common region of the system of following i...

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  16. if z1=1+isqrt3,z2=sqrt3-ishow that (a)arg (z1z2)=arg(z1)+arg(z2)and (b...

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  17. Find the vlaue of 47 C4+sum(r=0)^ 3( 50-^ rC3)

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  18. Find the length of the normal chord of a parabola y^2 = 4x, which make...

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  19. If theta and phi are the eccentric angles of the end points of a chor...

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  20. Find the equation of a hyperbola, having foci (+- 7. 0) and its eccent...

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