In the Boolean expression `X= Abar(BC )+ Bbar(CA)+Cbar(AB)` .X will be 1 if

What will be the input of A and B for the Boolean expression bar((A+B)).bar((A.B))=1 ?

Let X=A bar(BC)+B bar(CA)+C bar(AB) .Evalute X for (a) A=1,B=0,C=1 (b) A=B=C=1 (c) A=B=C=0

Add the algebraic expressions. 3ab+6bc-4ca and 2ab-2bc+3ca

Write the number of terms and also list out the terms in each of the following algebraic expressions. (ab) (bc)(ca)- (ab) a+(bc) b -(a^2)b -(b^2)b

Add the algebraic expressions. 5ab^2 -5bc +8ca and 3ab^2 +6bc -4ca

In the isosceles triangle ABC, |vec(AB)| = |vec(BC)| = 8 ,a point E divide AB internally in the ratio 1:3 , then the cosine of the angle between vec(CE) and vec(CA) is (where |vec(CA)| = 12 )

Add the following expressions: 2ab+3bc-5ca, 4bc-3ab+7ca, 2ca-ab-5bc

ABC is a traiangular plate of uniform thickness. The sides are in the ratio shown in the figure. I_(AB) , I_(BC) and I_(CA) are the moments of inertia of the plate about AB , BC and CA repectively. Which one of the following relations is correct?

Let s denotes the semi-perimeter of a DeltaABC in which BC=a, CA=b and AB=c. If a circle touches the sides BC, CA, AB, at D, E, F, respectively. Prove that BD=s-b.

Construct a circuit diagram for the following Boolean Function (BC+A)(A'B'+C')+A'B'C' Using laws of Boolean Algebra, simplify the function and draw the simplified circuit.