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The largest and shortest distances of the earth from the are r1 and r2. Its distance from the sun when it is the perpendicular to the major axis of the orbit drawn from the sun
see in this case earth is moving in elliptical path solet we’ve 2a = major axis, and 2b = minor axishence a = (r1 +r2)/2let distance = d from property of ellipse it’ll be in directrix and d = (b^2)/ahence you ‘ve a*(1 – e) = r1; which gives e= (r2-r1)/(r1+r2) e = eccentricitye = root(1 – ((b/a)^2))on solving you ‘ll get b = a*root( 1 – e^2)hence b^2/a = a* (1 – e^2)on putting r1,r2 you’ll get d = 2*r1*r2/(r1+r2)hence option Cpls approve if it helps
Earth orbits around Sun in an Elliptical Orbit. Sun is at one of the two Foci. The major axis AB = AS + SB = perihelion + aphelion = r2 + r1 (given)For an ellipse: PS1 + PS2 = constant ∵ AS1 + AS2 = AB, PS1 + PS2 = AB = r1 + r2So When Earth P is at C, CS1 + CS2 = AB CS1 = CS2 = AB/2 = (r1 + r2)/2 Answer.ΔC S2 S2 is Isosceles
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