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The eccentric angle of a point P lying i...

The eccentric angle of a point P lying in the first quadrant on the ellipse `(x^2)/(a^2) + (y^2)/(b^2) = 1` is `theta` . If OP makes an angle `phi` with x-axis, then `theta - phi` will be maximum when `theta` =

A

`tan^(-1) sqrt(a/b)`

B

`tan^(-1) sqrt(b/a)`

C

`pi/4`

D

none

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The correct Answer is:
A
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ML KHANNA-THE ELLIPSE-PROBLEM SET (2) (Multiple Choice Questions)
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  2. If sqrt(3) bx +ay = 2ab touches the ellipse (x^2)/(a^2) + (y^2)/(b^2) ...

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  3. The eccentric angle of a point P lying in the first quadrant on the el...

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  4. If theta is the angle between the pair of tangents drawn to the ellips...

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  5. Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=...

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  6. An ellipse slides between two perpendicular lines the locus of ...

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  7. The line 2x+y=3 cuts the ellipse 4x^(2)+y^(2)=5 at points P and Q. If ...

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  8. If the normal at one end of the latus rectum of the ellipse (x^2)/(...

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  9. Find the equation of the normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

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  10. The area of rectangle formed by perpendiculars from the centre of elli...

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  11. If the normal at the point P( theta) to the ellipse (x^(2))/(14)...

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  12. The locus of the mid-points of the portion of the tangents to the elli...

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  13. Tangents are drawn to x^2 + 3y^2 = 2. The locus" of mid-point of inter...

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  14. Tangents are drawn to ellipse (x^2)/(a^2) + (y^2)/(b^2) = 1 at points ...

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  15. The locus of the point of intersection of tangents to an ellipse at tw...

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  16. The eccentric angles of extremities of a chord of an ellipse (x^2)/(a^...

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

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  18. If the line x+2y+4=0 cutting the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  19. If P Q R is an equilateral triangle inscribed in the auxiliary circle ...

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  20. On the ellipse 4x^(2)+9y^(2)=1, the points at which the tangent are pa...

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