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If the length of latusrectum of ellipse ...

If the length of latusrectum of ellipse `E_(1):4(x+y+1)^(2)+2(x-y+3)^(2)=8` and `E_(2)=(x^2)/(p)+(y^2)/(p^2)=1, (0ltplt1)` are equal , then area of ellipse `E_(2)`, is

A

`pi/2`

B

`pi/(sqrt2)`

C

`pi/(2sqrt(2))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS ENGLISH-AREA OF BOUNDED REGIONS-Exercise (Single Option Correct Type Questions)
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  3. If the length of latusrectum of ellipse E(1):4(x+y+1)^(2)+2(x-y+3)^(2)...

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  8. 3 point O(0,0),P(a,a^2),Q(-b,b^2)(agt0,bgt0) are on the parabola y=x^2...

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  9. Area enclosed by the graph of the function y= In^2x-1 lying in the 4...

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  10. The area bounded by y = 2-|2-x| and y=3/|x| is:

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  11. Suppose g(x)=2x+1 and h(x)=4x^(2)+4x+5 and h(x)=(fog)(x). The area enc...

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  12. The area bounded by the curves y=-sqrt(-x) and x=-sqrt(-y) where x,yle...

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  13. y=f(x) is a function which satisfies f(0)=0, f"''(x)=f'(x) and f'(0)=1...

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  15. The area bounded by the curve y=xe^(-x),y=0 and x=c, where c is the x-...

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  16. If (a,0), agt 0, is the point where the curve y=sin 2x-sqrt3 sin x cut...

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  17. The curve y=ax^2+bx +c passes through the point (1,2) and its tangent ...

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  18. A function y=f(x) satisfies the differential equation (dy)/(dx)-y= co...

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