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Mid Point

Make the corr...

Question

Make the correct choice.

Assertion (A): If in a ∆ABC, a line DE∥BC, intersects AB in D and AC in E, then AB/AD = AC/AE.

Reason (R): If a line drawn parallel to one side of a triangle intersecting the other two sides, then the other two sides are divided in the same ratio.

A

A is true but R is false.

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B

Both A and R are true, and R is the correct explanation of A.

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C

A is false but R is true.

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D

Both A and R are true, and R is not the correct explanation of A.

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Solution

The correct option is B Both A and R are true, and R is the correct explanation of A.
.Correct option is option a.

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Similar questions

Q. Assertion (A)
In ∆ABC, if DE ∥ BC intersects AB in D and AC in E, then

\frac{A D}{A B} = \frac{A E}{A C} .

Reason (R)
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then these sides are divided in the same ratio.

(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.

Q. Assertion :If in a

△ A B C

D E ∥ B C

, intersects AB in D and AC in E, then

\frac{A B}{A D} = \frac{A C}{A E}

. Reason: If a line is drawn parallel to one side of a triangle intersecting the other two sides, then the other two sides are divided in the same ratio.

Q. Make the correct choice.

Assertion (A): If in a ∆ABC, a line

D E | | B C

, intersects AB in D and AC in E, then

\frac{A D}{D B} = \frac{A E}{E C}

.

Reason (R): If a line drawn parallel to one side of a triangle intersecting the other two sides, then the other two sides are divided in the same ratio.

Q. If a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.

Q. Prove that if a line is drawn parallel to one side of a triangle intersecting the other two side,then it divides the two sides in the same ratio.

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