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the standard equation of an ellipse & the general equation of a circle are respectively given by the equation E : X 2 /A 2 +Y 2 /B 2 = 1 and C = x 2 +y 2 +2gx+2fy+c then the equation E+K C =0,K≠0 (k is some constant) i.e, (X 2 /A 2 +y 2 /B 2 -1)+K(x 2 +y 2 +2gx+2fy+c)=0 represents a curve which passes through the common points of the ellipse &the circile Ques: if common chords of E & C are inclined at angles φ & Ψ with the axis of E,then (a) φ+ Ψ=pie(180) (b) φ+ Ψ = 2tan -1 (B/A) (c) φ+ Ψ = 90 0 ( d) none

the standard equation of an ellipse & the general equation of a circle are respectively given by the equation


E : X2 /A2 +Y2/B2      = 1


and 


C = x2+y2+2gx+2fy+c


then the equation  E+K C =0,K≠0 (k is some constant)


i.e, (X2/A2+y2/B2-1)+K(x2+y2+2gx+2fy+c)=0


represents a curve which passes through the common points of the ellipse &the circile


Ques: if common chords of E & C are inclined at angles φ & Ψ with the axis of E,then


(a)  φ+ Ψ=pie(180)


(b) φ+ Ψ = 2tan-1(B/A)


(c) φ+ Ψ = 900


( d) none

Grade:12

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