Register

CAT 2011 | Question: 10

• edited by
1,159 views
0 0 votes

In the figure alongside, $\triangle \text{ABC}$ is equilateral with area $\text{S. M}$ is the mid-point of $\text{BC and P}$ is a point on $\text{AM}$ extended such that $\text{MP = BM}$. If the semi-circle on $\text{AP intersects CB}$ extended at $\text{Q}$ and the area of a square with $\text{MQ}$ as a side is $\text{T}$, which of the following is true? 

    

  1. $\text{T} = \sqrt{2}\; \text{S}$
  2. $\text{T = S}$
  3. $T = \sqrt{3}\; \text{S}$
  4. $\text{T = 2S}$

Please log in or register to answer this question.

Voting & Accepting an answer helps improve the community
← PreviousNext →
← Previous in categoryNext in category →

Related questions

0 0 votes
0 0 answers
1.3k
1.3k views
Krithiga2101 asked Mar 9, 2020
1,299 views
CAT 2011 | Question: 14
In the figure alongside, $\text{O}$ is the centre of the circle and $\text{AC}$ is the diameter. The line $\text{FEG}$ is tangent to the circle at $\text{E}$. If $\angle ...
0 0 votes
0 0 answers
2.3k
2.3k views
Krithiga2101 asked Mar 9, 2020
2,311 views
CAT 2011 | Question: 5
On a plate in the shape of an equilateral triangle $\text{ABC}$ with area $16\sqrt 3\;\text{sq cm}$, a rod $\text{GD}$, of height $8\:\text{cm}$, is fixed vertically at t...
0 0 votes
0 0 answers
1.5k
1.5k views
Krithiga2101 asked Mar 9, 2020
1,537 views
CAT 2011 | Question: 15
Rekha drew a circle of radius $2\;\text{cm}$ on a graph paper of grid $1\;\text{cm}\times1\;\text{cm}$. She then calculated the area of the circle by adding up only the n...
0 0 votes
0 0 answers
1.4k
1.4k views
Krithiga2101 asked Mar 9, 2020
1,413 views
CAT 2011 | Question: 16
Rekha drew a circle of radius $2\;\text{cm}$ on a graph paper of grid $1\;\text{cm}\times1\;\text{cm}$. She then calculated the area of the circle by adding up only the n...
0 0 votes
0 0 answers
1.4k
1.4k views
Krithiga2101 asked Mar 9, 2020
1,440 views
CAT 2011 | Question: 17
The graphs given alongside represent two functions $f(x)\:\text{and}\:g(x)$ respectively. Which of the following is true? $g(x)=[f(x)]$$g(x)=f(-x)$$g(x)=-f(x)$None ...