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If the distances from origin of the centres of 3 circles x2+y2+2alphaix= a2 (i=1,2,3) are in G.P. , then length of the tangents drawn to them frm any point on the circles x2+y2 = a2 are in :(a) A.P (b) G.P (c) H.P (d) None of theseAns) Ccentres of the 3 circles are (-alphai,0) (i= 1,2,3)Distances of thes from origin are alpha1, alpha2, alpha 3now (alpha2)^2= (alpha1)(alpha3)Also general point on x2+y2=a2 is (a costheta, a sintheta) length of tangent from this point on the given circle issqrt( (a cos theta)2+(a sintheta)2 +2alphai(a costheta) -a2)) = sqrt ( 2alphai(a costheta))now as alpha 1, alpha 2, alpha 3 are in GPthen sqrt alpha 1, sqrt alpha 2, sqrt alpha 3 are in gp then sqrt 2acos theta alpha 1 , 2acos theta alpha 2 and sqrt 2acos theta alpha 3 are also in GP
hi i would like to ask you what is the answer for [-9]=[=5] grade 7
Consider the following set of preference lists: Number of Voters (7) Rank 1 1
Find the normalized differential equation which has {x, xex} as its fundamental set
Consider the regression model Y i = a + bX i + u i , where the X i are non-stochastic and the u i are independently and identically distributed with E[u i ] = 0 and va
nc6:n-3c3=91:4
x/15=50/20
127.78*45
Do you believe the holistic marketing concept is the most effective way to conduct marketing activities? Why? (Why not?)
Extended product rule : As a last topic let's note that the product rule can be extended to more than two functions, for instance. ( f g h )′ = f ′ gh + f g ′ h+ f g h′ ( f
The F Distribution The F distribution is the distribution of the ratio of 2 random variables. Both random variables have yet another distribution, called the c 2 Distri
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