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If Z1 = -3 + 4i, Z2 = 12 - 5i, prove tha...

If `Z_1 = -3 + 4i`, `Z_2 = 12 - 5i`, prove that `|z_1+z_2|<|z_1-z_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)|

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

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

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

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

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

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

If z_(1)=4-3iand z_(2)=-12+5i, "show that", bar(z_(1)+z_(2))=bar(z_(1))+bar(z_(2))

If z_(1)=4-3iand z_(2)=-12+5i, "show that", bar(z_(1)z_(2))=bar(z_(1))*bar(z_(2))

If |z_1|=|z_2|=1, then prove that |z_1+z_2| = |1/z_1+1/z_2∣

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 14-EXERCISE
  1. Show that sin ((7pi)/12)=1/4(sqrt6+sqrt2)

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  2. In /\ABC. if b cos A -a cos B = 0, show that the triangle isosceles.

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  3. If Z1 = -3 + 4i, Z2 = 12 - 5i, prove that |z1+z2|<|z1-z2|

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  4. How many solutions are there in the equation xyz = 2y where the soluti...

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  5. If n (> 1)is a positive integer, then show that 2^(2n)- 3n - 1 is divi...

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  6. If a. b, c are in A.P, then show that 1/(bc),1/(ca),1/(ab) are also in...

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  7. Find the perpendicular bisector of AB, where the co-ordinates of A and...

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  8. If the co-ordinate of three vertices of a- triangle are (9, 1, -3), (1...

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  9. Evaluate :lim(xrarrpi/2)(pi/2-x)tanx

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  10. If f(x + 2) = 2x^2 - 3x - 1, find the value of f(x + 1)

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  11. Three dice are thrown simultaneously. Find the probability that the su...

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  13. In three sets P,Q,R if Pcup R=Pcup Qand Pcap Q=PcapR,then show that Q=...

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  14. sintheta=ksin(theta+phi).show that tan(theta+phi)=(sinphi)/(cosphi-K)

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  15. In /\ABCif1/(a+c)+1/(b+c)=3/(a+b+c),show that angleC=pi/3

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  16. Using mathematical induction, prove that 1/5n^5+1/3n^3+7n/15 is a natu...

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  17. An equilateral triangle in the Argan plane has vertix as z1,z2and z3wh...

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  18. How many arragements can be made out of the letters of the word FAILUR...

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  19. Calcualte the sum of the series :1+3/2+7/4+15/8+31/16+….+tn

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  20. The equation of three sides of a triangle are x + 2y - 5 = 0, x +y = 6...

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