Coordinate Geometry
Straight Lines
MMTS_Full_Test_19
Grade 12
Question:
Statement-I: A variable line drawn through a fixed point cuts the coordinate axes at A and B. The locus of mid-point of AB is a circle. Statement-II: Through 3 non-collinear points in a plane, only one circle can be drawn.
Both S1 and S2 are true
Both S1 and S2 are false
S1 is true, S2 is false
S1 is false, S2 is true
Step-by-Step Solution
Key Concept: Midpoint locus of intercept line through fixed point is a circle; statement II is standard fact
S1: midpoint of intercepts satisfies circle equation (true). S2: classic theorem (true). Both true.
Correct Answer: 1