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If the common tangent to circle `x^(2)+y^(2)= c^(2)` and the parabola `y^(2) = 4ax` subtends an angle `theta` with X-axis then `Tan^(2) theta` =

A

`(sqrt(c^(2)+4a^(2))-c)/(2c)`

B

`(sqrt(c^(2)+4a^(2))+c)/(2)`

C

`(sqrt(c^(2)+4a^(2))+c)/(2c)`

D

`(sqrt(c^(2)+4a^(2))-c)/(2)`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-PARABOLA-EXERCISE- II
  1. Statement-I : The condition for the line y = mx+c to be a tangent to (...

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  2. The condition that the line y=mx+c to be a tangent to the parabola y^(...

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  3. If the common tangent to circle x^(2)+y^(2)= c^(2) and the parabola y^...

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  4. Let x+y=k be a normal to the parabola y^(2)=12x . If p is the length o...

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  5. Equation of line touching both parabolas y^(2)=4x and x^(2) = -32y is

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  6. The points of contact of the tangents drawn from the point (4, 6) to t...

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  7. The locus of point of intersection of tangents to y^(2) = 4ax which in...

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  8. If a,b,c form a GP with common ratio r, the sum of the ordinates of th...

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  9. The locus of foot of perpendicular from the focus upon any tangent to ...

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  10. The locus of point of intersection of tangents drawn at the ends of ch...

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  11. The midpoint of the chord 2x-y-2=0 of the parabola y^(2)=8x is

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  12. Let O be the origin and A be a point on the cune y^(2)=4x then locus o...

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  13. The locus of the midpoints of the focal chords of the parabola y^(2)=4...

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  14. If PSP^(1) is a focal chord of a parabola y^(2)=4ax and SL is its semi...

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  15. The area of triangle formed by tangent and normal at (8, 8) on the par...

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  16. The area of triangle formed by tangents and the chord of contact from ...

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  17. The area of the triangle inseribed in the parabola y^(2)=4x the ordina...

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  18. L = (1, 3), L^(1) (1, -1) are the ends of latus rectum of a parabola. ...

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  19. L = (2, 4) and L^(1) (2, -4) are ends of latus- rectum and P is any po...

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  20. L (1, 3) and L^(1) = (1, -1) are the ends of latus rectum of a parabol...

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