Chapter 14: Problem 12
Consider $$ \begin{aligned} &L_{1}: 2 x+3 y+p-3=0 \\ &L_{2}: 2 x+3 y+p+3=0 \end{aligned} $$ where \(p\) is a real number, and \(C: x^{2}+y^{2}+6 x-10 y+30=0\). STATEMENT-1: If line \(L_{1}\) is a chord of circle \(C\), then line \(L_{2}\) is not always a diameter of circle \(C\). and STATEMENT-2: If line \(L_{1}\) is a diameter of circle \(C\), then line \(L_{2}\) is not a chord of circle \(C\). (A) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1 (B) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1 (C) STATEMENT-1 is True, STATEMENT-2 is False (D) STATEMENT-1 is False, STATEMENT-2 is True
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.