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If theta is the angle between the pair o...

If `theta` is the angle between the pair of tangents drawn to the ellipse `3x^(2)+2y^(2)=5` from the point (1, 2), then the value of `tan^(2)theta` is equal to

A

`tan^(-1) (12//5)`

B

`tan^(-1) (6//sqrt(5))`

C

`tan^(-1) (12//sqrt(5))`

D

`tan^(-1) (8//sqrt(5))`

Text Solution

Verified by Experts

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Tangents are drawn to the ellipse 3x^2 + 5y^2 = 32 and 25x^2 +9y^2 = 4...

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