Ellipse & Hyperbola Test

Result

Ellipse & Hyperbola Test - 2

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
1 / -0

Statement -1 : The distance between the foci of an ellipse is always less than the sum of focal distances of any point on it

Statement - 2 : The eccentricity of an ellipse is less than 1

A
Both Statements-1 and Statement-2 are true and Statement-2 is the correct explanation of Statement-1

B
Both Statements-1 and Statement-2 are true and Statement-2 is not the correct explanation of Statement-1

C
Statement - 1 is true and Statement-2 is false

D
Statement - 1 is false and Statement-2 is true

Solution

Distance between foci = 2ae

Sum of focal distance = 2a > 2ae ( ∵ e < 1 )