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Q.

Consider the particle travelling clockwise on the elliptical path x2100+y225=1 the particle leaves the orbit at the point (–8, 3) and travels in a straight line tangent to the ellipse. At what point will the particle cross the y-axis

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a

0,253

b

0,-253

c

(0, 9)

d

(0, 7/3)

answer is A.

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Detailed Solution

Equation of an ellipse is x2100+y225=1
Equation of tangent at P(-8,3) is  x(-8)100+y(3)25=1 2x-3y+25=0 for y-axis put x=0 then y=253 So required point=(0,253)

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