List of top Quantitative Aptitude Questions on Co-ordinate Geometry asked in CAT

The points \((2,1)\) and \((-3,-4)\) are opposite vertices of a parallelogram. If the other two vertices lie on the line \(x+9y+c=0\), then \(c\) is
The shortest distance of the point \((\frac{1}{2},1)\) from the curve \(y = |x -1| + |x + 1|\) is
If the square of the 7th term of an arithmetic progression with positive common difference equals the product of the 3rd and 17th terms, then the ratio of the first term to the common difference is
A rectangle MNOQ has $NO$ extended to point R. In $\triangle QPR$:
- $QP = \frac{2x}{3}QM$
- $\angle ORP = 45^\circ$
- $QR = 4\sqrt{17}$ cm
S and T are midpoints of sides QR and PR respectively. If $ST = 6$ units, find the area of rectangle MNOQ.
Lal divides his garden into several identical squares and places posts at all the corners of all the squares. He then plants one tree per square. If a rectangular garden uses 36 posts in all, find the maximum number of trees that he could have planted.
In XY-plane, area bounded by $|x+y| + |x-y| = 4$:
Consider a triangle on X–Y plane with vertices $(41,0)$, $(0,41)$, $(0,0)$. Number of integer-coordinate points strictly inside is:
For which value of $k$ does the pair of equations yield a unique positive $x$ solution? \[ x^2 - y^2 = 0 \] \[ (x - k)^2 + y^2 = 1 \]

In the given figure, EADF is a rectangle and ABC is a triangle whose vertices lie on the sides of EADF and AE = 22, BE = 6, CF = 16 and BF = 2. Find the length of the line joining the mid-points of the sides AB and BC. 

The points of intersection of three lines $2X + 3Y - 5 = 0$, $5X - 7Y + 2 = 0$ and $9X - 5Y - 4 = 0$