Given L={1,2,3,4}, M={3,4,5,6} and N={1,3,5}
Verify that `L-(McupN)=(L-M)cap(L-N)`.

Given L, = {1,2, 3,4},M= {3,4, 5, 6} and N= {1,3,5} Find L-(M⋃N).

Find the L.C.M. of 4!, 5! and 6!.

Equation of the circumcircle of a triangle formed by the lines L_(1)=0,L_(2)=0andL_(3)=0 can be written as L_(1)L_(2)+lamdaL_(2)L_(3)+muL_(3)L_(1)=0 , where lamdaandmu are such that coefficient of x^(2) =coefficient of y^(2) and coefficient of xy=0. If L_(1)L_(2)+lamdaL_(2)L_(3)+muL_(3)L_(1)=0 is such that mu=0andlamda is non-zero, then it represents

If A=[(k,l),(m,n)] and kn!=lm, show that A^(2)-(k+n)A+(kn-lm)l=O. Hence, find A^(-1)

Equation of the circumcircle of a triangle formed by the lines L_(1)=0,L_(2)=0andL_(3)=0 can be written as L_(1)L_(2)+lamdaL_(2)L_(3)+muL_(3)L_(1)=0 , where lamdaandmu are such that coefficient of x^(2) =coefficient of y^(2) and coefficient of xy=0. L_(1)L_(2)^(2)+lamdaL_(2)L_(3)^(2)+muL_(1)^(2)=0 represents

Is '*' defined on the set {1, 2, 3, 4, 5} by : a * b = L.C.M. . of a and b, a binary operation ? Justify your answer.

Is ∗ defined on the set {1, 2, 3, 4, 5} by a * b = L.C.M. of a and b a binary operation? Justify your answer.

Is '*' defined on the set {1,2,3,4,5} by a*b = L.C.M. of a and b a binary operation ? Justif your answer.

ABC is a right-angled triangle in which angleB=90^(@) and BC=a. If n points L_(1),L_(2),…,L_(n) on AB is divided in n+1 equal parts and L_(1)M_(1), L_(2)M_(2),…,L_(n)M_(n) are line segments paralllel to BC and M_(1), M_(2),….,M_(n) are on AC, then the sum of the lengths of L_(1)M_(1), L_(2)M_(2),...,L_(n)M_(n) is