A statement of assertion

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

A statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as: Assertion (A): D and E are points on the sides AB and AC respectively of a

\triangle ABC

such that

DE \parallel BC

then the value of x is 11, when

AD = 4\text{ cm}

DB = (x - 4)\text{ cm}

AE = 8\text{ cm}

and

EC = (3x - 19)\text{ cm}

. Reason (R): If a line divides any two sides of a triangle in the same ratio then it is parallel to the third side. (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A). (b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A). (c) Assertion (A) is true but reason (R) is false. (d) Assertion (A) is false but reason (R) is true.

Related theory

Linear Equations in One Variable
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles

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