The value of `abs(-2) + abs(-3) + abs(-6)` is

Solve the following inequalities for real values of x: abs(x-1)+abs(2x-3)=abs(3x-4)

State true or false : The value of ab is 8 when a = 3 and b = 2.

If a, b and c are in H.P., then the value of ((ac+ab-bc)(ab+bc-ac))/(abc)^2 is

For any two complex numbers z_(1) "and" z_(2) , abs(z_(1)-z_(2)) ge {{:(abs(z_(1))-abs(z_(2))),(abs(z_(2))-abs(z_(1))):} and equality holds iff origin z_(1) " and " z_(2) are collinear and z_(1),z_(2) lie on the same side of the origin . If abs(z-(1)/(z))=2 and sum of greatest and least values of abs(z) is lambda , then lambda^(2) , is

For any two complex numbers z_(1) "and" z_(2) , abs(z_(1)-z_(2)) ge {{:(abs(z_(1))-abs(z_(2))),(abs(z_(2))-abs(z_(1))):} and equality holds iff origin z_(1) " and " z_(2) are collinear and z_(1),z_(2) lie on the same side of the origin . If abs(z-(2)/(z))=4 and sum of greatest and least values of abs(z) is lambda , then lambda^(2) , is

Add : 3ab^(2) , - 5ab^(2)

If z=x+iy and x^(2)+y^(2)=16 , then the range of abs(abs(x)-abs(y)) is

Let a,binRandabne1."If "6a^(2)+20a+15=0and15b^(2)+20b+6=0 then the value of (4030b^(3))/(ab^(2)-9(ab+1)^(3)) is _____.

For any two complex numbers z_(1) "and" z_(2) , abs(z_(1)-z_(2)) ge {{:(abs(z_(1))-abs(z_(2))),(abs(z_(2))-abs(z_(1))):} and equality holds iff origin z_(1) " and " z_(2) are collinear and z_(1),z_(2) lie on the same side of the origin . If abs(z-(3)/(z))=6 and sum of greatest and least values of abs(z) is 2lambda , then lambda^(2) , is

If a gt b gt 0 are two real numbers, the value of, sqrt(ab+(a-b)sqrt(ab+(a-b)sqrt(ab+(a-b)sqrt(ab+….)))) is