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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

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The correct Answer is:
A
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ARIHANT MATHS-ELLIPSE-Exercise (Single Option Correct Type Questions)
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  3. A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x...

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  5. the equation of the chord of contact of the pair of tangents drawn to ...

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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. The point on the ellipse x^2 + 2y^2 = 6 closest to the line x + y = 7 ...

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  8. From a point on the axis of x common tangents are drawn to the parabol...

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  9. If circumcentre of an equilateral triangle inscribed in x^(2)/a^(2) + ...

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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. The length of the chord of the ellipse x^2/25+y^2/16=1 where mid poi...

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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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