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Assertion (A) : Orthocentre of the trian...

Assertion (A) : Orthocentre of the triangle formed by any three tangents to the parabola lies on the directrix of the parabola
Reason ® : The orthocentre of the triangle formed by the tangents at `t_1, t_2 ,t_3` to the parabola `y^(2) =4ax is (-a ( t_1+t_2+t_3+t_1t_2t_3) ) `

A

Both A and R are true and R `rArr A `

B

Both A and R are true and ` R cancel rArr A `

C

A is true but R is false

D

A is false but R is true.

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The correct Answer is:
A
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AAKASH SERIES-REVISION EXERCISE -PARABOLA
  1. If two tangents drawn from a point P to the parabola y^(2)=4x are at r...

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  2. Assertion (A) : The least length of the focal chord of y^(2) =4ax is...

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  3. Assertion (A) : Orthocentre of the triangle formed by any three tangen...

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  4. Show that length of perpendecular from focus 'S' of the parabola y^(2)...

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  5. If A,B,C are 3 points on a parabola , Delta 1 , Delta2 are the areas...

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  6. Prove that the orthocentre of the triangle formed by any three tangent...

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  7. The tangent at 't' on the parabola y^(2) =4ax is parallel to a normal ...

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  8. The no. of normals drawn to (y-1) ^(2) =8 ( x+3) through (4,1 )

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  9. The normal at 'P' cuts the axis of the parabola y^(2) =4ax in G and S...

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  10. If two of the three feet of normals drawn from a point to the parabola...

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  11. The equation of a tangent to the parabola y^(2) =8x is y =x+2 . The po...

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  12. The locus of middle points of normal chords of the parabola y^(2) = 4...

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

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  14. If the normal to y^(2) =4ax at t1 cuts the parabola again at t2 th...

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  15. Point of concurrence of the normals drawn at (2,8) , (128,64) , (162, ...

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

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

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

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

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

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