CUET PG 2025 — Mathematics PYQ

1. Standard Form se Comparison

Circle ki general equation hoti hai:

Yahan:

• Center ke coordinates hote hain: $(-g,-f)$

• Radius ($r$) ka formula hota hai: $r=\sqrt{g^2+f^2-c}$

2. Step-by-Step Solution

Di gayi equation hai:

Step 1: $g,f$ aur $c$ ki values nikaalna

• $x$ ke coefficient ko compare karne par: $2g=6⟹g=3$

• $y$ ke coefficient ko compare karne par: $2f=-4⟹f=-2$

• Constant term: $c=4$

Step 2: Center nikaalna

Center $=(-g,-f)$

Center $=(-(3),-(-2))$

Center $=(-3,2)$

Step 3: Radius ($r$) nikaalna

Radius $=3$

Final Answer:

Diye gaye circle ka Center $(-3,2)$ hai aur Radius $3$ unit hai.