In ` A B C ,P` is an interior point such that `/_P A B=10^0/_P B A=20^0,/_P C A=30^0,/_P A C=40^0` then ` A B C` is (a) isosoceles (b) right angled (c) obtuse angled

If A and B are two events such that P(A)=0.3 , P(B)=0.25 , P(AnnB)=0.2 , then P(((A^(C ))/(B^(C )))^(C )) is equal to

If in A B C , side a , b , c are in A.P. then B > 60^0 (b) B<60^0 Blt=60^0 (d) B=|A-C|

A and B are two independent events such that P(A^C) = 0.7, P(B) = k and P(A uB) = 0.8 , then K is

Let A,B,C be 3 events such that P(A//B)=(1)/(5) , P(B)=(1)/(2) , P(A//C)=(2)/(7) and P(C )=(1)/(2) , then P(B//A) is

If A and B are two events then show that P(B) = P(A). P(B/A) + P(A^C).P(B/A^C).0 < P(A) < 1 .

If P(A) = 0.2, P(B) = 0.4, P(AB) = 0.08, then P(B/A^c) equals to

Let A and B be two events with P(A^(C))=-0.3, P(B)=0.4 and )P(A nn B^(C))=0.5 then P(B|A uuB^(C)) is equal to

Events A,B,C are such that P(A) = 0.3, P(B) = 0.4,P( C) = 0.8, P(AcapB) =0.08, P(Acap C) = 0.28 and P(Acap Bcap C) = 0.09. If P(Acup B cup C) ge 0.75, Show that, 023le P(B cap C) le 0.48. ,

In triangle A B C ,/_A=60^0,/_B=40^0,a n d/_C=80^0dot If P is the center of the circumcircle of triangle A B C with radius unity, then the radius of the circumcircle of triangle B P C is (a) 1 (b) sqrt(3) (c) 2 (d) sqrt(3) 2

A B C is an equilateral triangle with A(0,0) and B(a ,0) , (a>0). L, M and N are the foot of the perpendiculars drawn from a point P to the side A B ,B C ,a n dC A , respectively. If P lies inside the triangle and satisfies the condition P L^2=P MdotP N , then find the locus of Pdot