Straight Lines
Straight Line
star_batch_jee_advanced_2025
Grade None
Question:
The equations of two equal sides $AB$ and $AC$ of an isosceles triangle $ABC$ are $x + y = 5$ and $7x - y = 3$ respectively. If the side $BC$ of the triangle $ABC$ is 5 square unit, then the possible equations of the side $BC$ (area):
$x - 3y + 1 = 0
$3x + y + 2 = 0
$x - 3y - 21 = 0
$3x + y - 12 = 0
Step-by-Step Solution
Key Concept: Geometric properties and constraints determine unique vertex positions in the configuration.
For quadrilateral $ABCD$ with $A(1,4)$ shown in the diagram, the configuration forms a specific geometric pattern. The solution involves finding the coordinates of all vertices using properties of the figure and applying distance/angle constraints to determine the exact positions of $B$, $C$, and $D$.
Correct Answer: 1,2,3,4