Q. 7 B5.0( 1 Vote )

# In ΔABC, M ∈ , N ∈ such that || ,……….is not true.A. AN ⋅ MB = AM ⋅ NCB. AM ⋅ MB = AN ⋅ NCC. AB ⋅ AN = AM ⋅ ACD. AB ⋅ NC = AC ⋅ MB

We have the diagram as

Given: In ∆ABC, MN BC.

By property of triangles, we can say that

,

&

Cross multiplication of the above equations,

AM × NC = AN × MB

Or AM . NC = AN . MB is true.

AM × AC = AN × AB

Or AM . AC = AN . AB is true.

MB × AC = NC × AB

Or MB . AC = NC . AB is true.

So, AM . MB = AN . NC is not true.

Thus, option (b) is correct.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Basic Proportionality Theorem42 mins
Quiz | Criterion of Similarity of Triangle45 mins
Champ Quiz | Thales Theorem49 mins
NCERT | Strong Your Basics of Triangles39 mins
RD Sharma | Imp. Qs From Triangles41 mins
R.D Sharma | Solve Exercise -4.2 and 4.3FREE Class
How to Ace Maths in NTSE 2020?36 mins
R.D Sharma | Solve Exercise-4.545 mins
NCERT | Basic Proportionality Theorem22 mins
RD Sharma | Imp Qs Discussion- Triangles43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses