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The area of the rectangle formed by the ...

The area of the rectangle formed by the perpendiculars from the centre of the standard ellipse to the tangent and normal at its point whose eccentric angles `pi/4` is

A

`((a^(2)-b^(2))ab)/(a^(2)+b^(2))`

B

`((a^(2)-b^(2))/(a^(2)+b^(2)))`

C

`((a^(2)+b^(2))ab)/((a^(2)-b^(2)))`

D

`((a^(2)+b^(2)))/((a^(2)-b^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
A
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ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)
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  6. x-2y+4=0 is a common tangent to y^2=4x and x^4/4+y^2/b^2=1. Then the v...

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  7. Find the derivative of x^(2)/2 + x + 1

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  8. Find the derivative of secx + cosecx

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  9. Find the derivative of cos(x - pi/8)

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  10. A parabola is drawn whose focus is one of the foci of the ellipse x^2...

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  11. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 fr...

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  12. The length of the common chord of the ellipse ((x-1)^2)/9+((y-2)^2)/4=...

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  13. The eccentricity of ellipse ax^2 + by^2 + 2gx + 2fy + c = 0 if its axi...

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  14. A circle has the same center as an ellipse and passes through the foci...

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  15. The area of the rectangle formed by the perpendiculars from the centre...

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  16. An ellipse is inscribed in a circle and a point within the circle is c...

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  17. An ellipse slides between two perpendicular straight lines. Then id...

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  18. If one of the circles x^(2)+y^(2)+2ax+c=0andx^(2)+y^(2)+2bx+c=0 lies w...

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  19. The equation of the locus of the middle point of the portion of the ta...

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  20. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

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