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If two normals drawn to the y^(2) =8x at...

If two normals drawn to the `y^(2) =8x at ( 2,4) ` and (18, 12) intersect at `P(x_1, y_1)` then foot of the 3rd normal through p is

A

`( 32, 16) `

B

` ( 32, -16) `

C

` ( -16, 32) `

D

` ( 2, 4) `

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The correct Answer is:
B
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AAKASH SERIES-REVISION EXERCISE -PARABOLA
  1. Point of concurrence of the normals drawn at (2,8) , (128,64) , (162, ...

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  2. If ( x1, y1) , (x2, y2) ,(x3y3) are feet of the three normals drawn f...

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  3. If two normals drawn to the y^(2) =8x at ( 2,4) and (18, 12) intersec...

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  4. If the normals at P and Q meet again on the parabola y^(2) =4ax then ...

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  5. The shortest distance between the line y-x =1 and the curve x=y^2 is

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  6. If the parabola y^(2)=ax passes through (1, 2) then the equation of th...

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  7. A set of parallel chords of the parabola y^(2) =4ax have their mid-po...

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  8. If the angular bisectors of the coordinates axes cut the parabola y^(2...

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  9. If the straight line y=mx+c is parallel to the axis of the parabola y^...

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  10. The set of point on the axis of the parabola y^(2) -2y -4x + 5=0 from ...

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  11. Given :A circle 2x^(2) +2y^(2) =5 and a parabola y^(2) =4 sqrt5 x. ...

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  12. If a ne0 and the line 2bx+3cy+4d =0 passes through the points of inter...

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  13. The equation of the directrix of the parabola y^(2)+4y+4x+2=0 is

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  14. The locus of the vertices of the family of parabolas y = (a^(3)x^(2))/...

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  15. The equation of the common tangent to x^(2)+y^(2)=2a^(2)"and" y^(2)=8a...

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  16. The normal at a point (bt1^(2) , 2bt1) on a parabola meets the parabo...

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  17. The sloope of the line touching both the parabolas y^(2) =4x and x^(2)...

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  18. Statement 1: The slope of the tangent at any point P on a parabola , w...

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  19. Statement 1: The line x-2y =2 meets the parabola y^(2) +2x=0 only at ...

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  20. The point of intersection of the normals to the parabola y^(2) =4x at ...

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