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Q.

Assertion (A) : Orthocentre of the triangle formed by any three tangents to the parabola lies on the directrix of the parabola
Reason (R) : The orthocentre of the triangle formed by the tangents at t1,t2,t3 to the parabola y2=4ax is -a, at1+t2+t3+t1t2t3

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a

A is false but R is true

b

Both A and R are true and RA

c

A is true but R is false

d

Both A and R are true and RA

answer is A.

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Detailed Solution

By conceptual  both A and R are ture and RA

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Assertion (A) : Orthocentre of the triangle formed by any three tangents to the parabola lies on the directrix of the parabolaReason (R) : The orthocentre of the triangle formed by the tangents at t1,t2,t3 to the parabola y2=4ax is -a, at1+t2+t3+t1t2t3