Register

NIELIT 2019 Feb Scientist C - Section D: 6

• recategorized by
684 views
1 votes
1 votes

In a triangle $XYZ$, $P$ and $Q$ are points on ${XY,XZ}$ respectively such that $XP=2PY$, $XQ=2QZ$, then the ratio, of area of $\triangle XPQ$ and area of $\triangle XYZ$ is:

  1. $4:9$
  2. $2:3$
  3. $3:2$
  4. $9:4$
• recategorized by
User Avatar

1 Answer

1 votes
1 votes
Correct option is A)

Given, XP=2PY, XQ=2QZ and the included angle is equal. Hence the triangles XPQ and XYZ are similar with their sides in the ratio of 2:3. Thus the ratio of areas of the triangles is 4:9
User Avatar
Voting & Accepting an answer helps improve the community
← PreviousNext →
← Previous in categoryNext in category →

Related questions

0 votes
0 votes
1 answer
1
Lakshman Bhaiya asked Apr 1, 2020
722 views
NIELIT 2019 Feb Scientist C - Section D: 12
A conical tent is to accommodate $10$ persons. Each person must have $6m^{2}$ space to sit and $30m^{3}$ of air to breath. What will be height of cone? $37.5$ m $150$ m $75$ m $15$ m
A conical tent is to accommodate $10$ persons. Each person must have $6m^{2}$ space to sit and $30m^{3}$ of air to breath. What will be height of cone?$37.5$ m$150$ m$75$...
0 votes
0 votes
2 answers
5
Lakshman Bhaiya asked Apr 1, 2020
589 views
NIELIT 2019 Feb Scientist C - Section D: 29
If $(-4,0),(1,-1)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on: $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
If $(-4,0),(1,-1)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on:$y=x$$5x+y+12=0$$x+5y-4=0$$x-5y+4=0$
Link Copied!