Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The area of ΔABC is one unit. DE is a straight line parallel to BC joining the points D and E on AB and AC respectively.  If AD : DB = 1 : 7, then the ratio of the area of the ΔADE and ΔABC is?

Options:

\(\frac{49}{64}\)

\(\frac{1}{36}\)

\(\frac{1}{49}\)

\(\frac{1}{64}\)

Correct Answer:

\(\frac{1}{64}\)

Explanation:

ΔADE ∼ ΔABC

\(\frac{area\;of\;ΔADE}{area\;of\;ΔABC}\) = (\(\frac{AD}{AB}\))2 = \(\frac{1}{8}\) = \(\frac{1}{64}\)