Q. 555.0( 1 Vote )

Assertion - and - Reason Type

Each question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code:


A. Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A)

B. Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

C. Assertion (A) is true and Reason (R) is false.

D. Assertion (A) is false and Reason (R) is true.

Answer :

For Assertion :


In the given Figure,


As tangents drawn from an external point are equal.


We have


AP = AS


[tangents from point A]


BP = BQ


[tangents from point B]


CR = CQ


[tangents from point C]


DR = DS


[tangents from point D]


Add the above equations


AP + BP + CR + DR = AS + BQ + CQ + DS


AB + CD = AS + DS + BQ + CQ


AB + CD = AD + BC


So, assertion is not true


For Reason,



Consider two concentric circles with common center O and AB is a chord to outer circle and is tangent to inner circle P.


Now,


OP AB


[Tangents drawn at a point on circle is perpendicular to the radius through point of contact]


We know, that perpendicular from center to chord bisects the chord.


So, P bisects AB.


Reason is true


Hence, Assertion is false, But Reason is true.

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