Visual Lens | Coordinate Geometry | MEDIUM
The (x, y) coordinates of vertices P, Q and R of a parallelogram PQRS are (−3, −2), (1, −5) and (9, 1), respectively. If the diagonal SQ intersects the x-axis at (a, 0), then the value of a is
CAT Coordinate Geometry questions (1991–2025) — actual Quant questions with solutions
11 real CAT Coordinate Geometry questions from CAT 1991 to CAT 2025, each with options, the verified answer and a step-by-step solution. Practice one topic at a
11 real CAT questions · CAT 1991–2025 · 1 Medium
Coordinate + InCircle
The coordinates of the three vertices of a triangle are: (1, 2), (7, 2), and (1, 10). Then the radius of the in circle of the triangle is ________
The coordinates of a triangle are (1, 2), (7, 2), and (1, 10). Find the inradius.
In the XY-plane, the area, in sq. units, of the region defined by the inequalities y ≤ x + 4 and −4 ≤ x² + y² + 4(x − y) ≤ 0 is.
Consider a triangle drawn on the X-Y plane with its three vertices at (41, 0), (0, 41) and (0, 0), each vertex being represented by its (X, Y) coordinate The number of points with integer coordinates inside the triangle (excluding all the points on the boundary) is
The area of the triangle with the vertices (a, a), (a + 1, a) and (a, a + 2) is
The area bounded by the three curves |x + y| = 1, |x| = 1, and |y| = 1, is equal to
There are two straight lines in the x-y plane with equations ax + by = c , dx + ey = f. Do the two straight lines intersect? a, b, c, d, e and f are distinct real numbers. c and f are non-zero.
Directions: Answer the questions based on the following information. A robot moves on a graph sheet with X and Y-axis. The robot is moved by feeding it with a sequence of instructions. The different instructions that can be used in moving it, and their meanings are:
The robot reaches point (6, 6) when a sequence of three instructions is executed, the first of which is a GOTO(x,y) instruction, the second is WALKX(2 and the third is WALKY(4). What are the value of x and y?
Directions: Answer the questions based on the following information. A robot moves on a graph sheet with X and Y-axis. The robot is moved by feeding it with a sequence of instructions. The different instructions that can be used in moving it, and their meanings are:
The robot is initially at (x, y), x > 0 and y < 0. The minimum number of instructions needed to be executed to bring it to the origin (0, 0) if you ar prohibited from using the GOTO instruction is
What is the distance between the points A(3, 8) and B(–2, –7)?
Every question here appeared in an actual CAT paper. For the full paper, open its page from the question's year and slot, or browse another topic from the list. Also on IIMking.com.