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The locus of point of intersection of ta...

The locus of point of intersection of tangents to `y^(2) = 4ax` which includes an angle `alpha` is

A

`y^(2)-4ax=Tan^(2) alpha`

B

`y^(2)-4ax=(x+a)^(2)Cot^(2)alpha`

C

`y^(2)-4ax=(x+a)^(2) Tan^(2)alpha`

D

`y^(2)-4ax=(x-a)^(2)Cot^(2) alpha`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-PARABOLA-EXERCISE- II
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  3. The locus of point of intersection of tangents to y^(2) = 4ax which in...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The point on y^(2) = 4ax nearest to the focus has its abscissa equal t...

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  18. If the line y = mx + a meets the parabola x^(2)=4ay in two points whos...

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  19. Number of points of intersectionsof circle x^(2)+y^(2)+2x=0 with y^(2)...

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  20. The point on the parabola y =x^(2) + 7x + 2 which is elosest to the li...

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