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Triangle and Sum of Its Internal Angles

In ΔABC, D, E...

Question

In ΔABC, D, E and F are points on AB, AC and BC respectively. If AD : DB : EF = 3 : 2 : 2 and DE : BC = 3 : 5, then which of the following option is correct?

ΔABC में बिन्दु D, E व F क्रमशः AB, AC व BC पर हैं। यदि AD : DB : EF = 3 : 2 : 2 तथा DE : BC = 3 : 5 है, तब निम्नलिखित में से कौनसा विकल्प सही है?

A

DF || AC

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B

CF : BF = 3 : 2

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C

EF : AB = 3 : 5

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D

EF || AB

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Solution

The correct option is D EF || AB
Solution

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Similar questions

Q. In the given figure, B and C are the points on the opposite sides of a road and AD is a tower standing in between the road. If points A, B and C form a triangle such that AB = 6 m,

B C = 4 \sqrt{3}

A C = 2 \sqrt{3}

m then which of the following option is correct?

दिये गये चित्र में, बिन्दु B व C एक सड़क के विपरीत ओर है तथा सड़क के मध्य एक टॉवर AD स्थित है। यदि बिन्दु A, B व C एक त्रिभुज निर्मित करते हैं जबकि AB = 6 m,

B C = 4 \sqrt{3}

A C = 2 \sqrt{3}

m हैं, तब निम्नलिखित में से कौनसा विकल्प सही है?

Q. Line l || m and transversal p intersects l and m at A and B respectively. AD and BD are bisectors of co-interior angles and AC, BC are bisectors of co-interior angles on other side of p. BC and AD produced intersect l and m at E and F respectively. Which of the following options is incorrect?

रेखा l || m तथा तिर्यक रेखा p हैं, जो l व m को क्रमशः A व B पर प्रतिच्छेद करती हैं। AD व BD सह-अन्तः कोणों के समद्विभाजक हैं तथा p के दूसरी ओर सह-अन्तःकोणों के समद्विभाजक AC, BC हैं। BC व AD को आगे की ओर बढ़ाने पर ये l व m को क्रमशः E व F पर प्रतिच्छेद करती हैं। तब निम्नलिखित में से कौनसा विकल्प गलत है?

△ A B C

, DE is parallel to base BC, with D on AB and E on AC. If

\frac{A D}{D B} = \frac{2}{3}

\frac{B C}{D E}

.

Δ A B C

D

E

are points on the sides

A B

A C

respectively such that

D E | | B C

\frac{A D}{D B} = \frac{2}{3}

A C = 18 c m

A E

Q. ABC is a triangle such that A(3, 4), B(–5, –4) and C(7, 6). If P, Q, R and S are respectively the mid-points of AB, AC, BC and PQ, then coordinates of point X which divides RS in 2 : 1 are

ABC एक त्रिभुज है जबकि A(3, 4), B(–5, –4) तथा C(7, 6) है। यदि P, Q, R तथा S क्रमशः AB, AC, BC व PQ के मध्य बिन्दु हैं, तब RS को 2 : 1 में विभाजित करने वाले बिन्दु X के निर्देशांक हैं

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