Q7 of 70 Page 140

In ΔABC, M ∈ , N ∈ such that || ,……….is not true.

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.

More from this chapter

All 70 →
6

Fill in the blanks so that the following statements are true:

The correspondence ABC ↔ ZXY is a similarity in ΔABC and ΔXYZ. If AB = 12, BC = 9, CA = 7.5 and ZX = 10, then YZ + XY = ____.

 7

ABC ↔ DEF is a similarity in ΔABC and ΔADEF, m∠A = 40, m∠E + m∠F =

 7

In ΔABC, B—M—C and A—N—C, ||. If NC : NA = 1 : 3 and CM = 4, then BC = ………..

 7

In ΔXYZ and ΔPQR, XYZ ↔ PQR is similarity. XY = 12, YZ = 8, ZX = 16, PR = 8. So, PQ + QR = ………….