Mathematics ยท Quantitative Aptitude

Coordinate Geometry and Construction

139 Questions

Coordinate geometry involves finding midpoints, calculating ratios of line segments, and understanding 3D projections. These concepts are crucial for tackling quantitative aptitude sections. Practice these questions to master geometric constructions and coordinate plotting.

Midpoint calculationsSection formulas3D geometry projectionsGeometric construction stepsLine segment ratios

Coordinate Geometry and Construction Questions

Multiple choice maths when lines join trapeziums and kites quadrilaterals and their properties closed figures

The parallel sides of a trapezium are $x$ and $y$ in length. The length of the line segment joining the mid points of the non parallel sides is:

  1. $\dfrac{x+y}{2}$
  2. $x+y$
  3. $\dfrac{2x+3y}{2}$
  4. $\dfrac{xy}{2}$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The line segment joining the mid points of non parallel sides of a trapezium is the average of sum of the parallel sides.
Hence, $= \dfrac{x+y}{2}$

Multiple choice

What is the name of the mathematical concept that involves dividing a line segment into two equal parts?

  1. Bisector

  2. Median

  3. Perpendicular

  4. Tangent
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A bisector is a mathematical concept that refers to a line, ray, or plane that divides a line segment, angle, or geometric figure into two equal parts.

Multiple choice

What is the name of the algorithm that finds the intersection of two line segments?

  1. Line-segment intersection algorithm

  2. Point-line intersection algorithm

  3. Line-plane intersection algorithm

  4. Plane-plane intersection algorithm
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The line-segment intersection algorithm is an algorithm that finds the intersection of two line segments in $O(1)$ time.

Multiple choice

How many segments does the Divided Line consist of?

  1. Two

  2. Three

  3. Four

  4. Five
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The Divided Line consists of four segments, each representing a different level of understanding.