CBSE 10th Math Sample Paper 2019 | Q16A

This 2019 CBSE class 10 Maths 3 mark question is from Coordinate Geometry. Concept: diagonals of a parallelogram bisect each other and midpoint formula.

Question 16A: The points A(1, -2) , B(2, 3), C(k, 2) and D(-4, -3) are the vertices of a parallelogram. Find the value of k.

Video Explanation

Explanatory Answer | CBSE Sample Paper 2019 Q16 Internal Choice 1

Property: Diagonals of a parallelogram bisect each other.

∴ In a parallelogram ABCD, where AC and BD are the two diagonals, Midpoint of AC = Midpoint of BD
(\\frac{\text{1 + k }}{\text{2}}), \\frac{\text{−2 + 2 }}{\text{2}}) ) = (\\frac{\text{−4 + 2}}{\text{2}}) , \\frac{\text{−3 + 3}}{\text{2}}) )
1 + \\frac{\text{k}}{\text{2}}) = \\frac{−2}{2})
1 + k = -2
k = -3