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Find the equation of the tangent and nor...

Find the equation of the tangent and normal to the parabola `x^(2)-4x-8y+12=0`
at `(4,(3)/(2))`

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The correct Answer is:
`y-(3)/(2) = -2 (x-4) rArr 2x+y - (19)/(2) = 0 rArr 4x+2y-19=0`
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AAKASH SERIES-PARABOLA-SOLVED EXAMPLES
  1. Find the equation of the tangent to the parabola y^(2) = 8x and which ...

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  2. Find the equation of normal to the parabola y^(2) = 4x and whose slope...

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  3. Find the equation of the tangent and normal to the parabola x^(2)-4x-8...

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  4. Find the equation of tangent to the parabola y^(2)=8ax at (2a , 4a...

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  5. alpha and beta are the angles made by two tangents to the parabola y^(...

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  6. The normals from (P,0) are drawn to the parabola y^(2) = 8x, one of th...

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  7. Show that the locus of point of intersection of perpendicular tangents...

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  8. Show that the equation of the common tangent to the circle x^(2) + y^(...

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  9. The locus of the foot of the perpendicular from the focus to the tange...

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  10. Show that straight line 7x+6y=13 is a tangent to the parabola y^(2)-7x...

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  11. Find the condition for the line y=mx+c to be a tangent to the parabola...

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  12. If a chord of the parabola y^(2) = 4ax touches the parabola y^(2) = 4b...

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  13. Prove that two parabolas y(2)=4ax "and" x^(2)=4by intersect (other tha...

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  14. Show that the focal chord of the parabola y^(2)=4ax, which makes an an...

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  15. Show that semi latus rectum of the parabola y^(2) =4ax is the harmonic...

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  16. Prove that the locus of point of intersection of two perpendicular nor...

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  17. If ((1)/(2),2) is one extermity of a focalchord of the parabola y^(2)=...

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  18. Prove that the point on the parabola y^(2) = 4a ( a gt 0 nearest to th...

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  19. Two parabolas have the same vertex and equal lengh of latus rectum su...

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  20. The sum of the ordinates of two points on y(2)=4ax is equal to the sum...

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