JAMIA 2025 — Mathematics PYQ
JAMIA | Mathematics | 2025The roots of the equation 𝑥^2−4𝑥+4=0 are:
Choose the correct answer:
- A.
2, 2
(Correct Answer) - B.
−2, 2
- C.
4, -4
- D.
None of these
2, 2
Explanation
Solution
Di gayi equation ek Perfect Square (purn varg) hai:
x2−4x+4=0
Ise hum is tarah likh sakte hain:
x2−2(2)(x)+22=0
Ab (a−b)2=a2−2ab+b2 ka formula lagane par:
(x−2)2=0
Roots nikalne ke liye:
(x−2)(x−2)=0
Iska matlab hai:
x−2=0⟹x=2
x−2=0⟹x=2
Final Answer:
Roots 2,2 hain (Yahan dono roots real aur equal hain).
Explanation
Solution
Di gayi equation ek Perfect Square (purn varg) hai:
x2−4x+4=0
Ise hum is tarah likh sakte hain:
x2−2(2)(x)+22=0
Ab (a−b)2=a2−2ab+b2 ka formula lagane par:
(x−2)2=0
Roots nikalne ke liye:
(x−2)(x−2)=0
Iska matlab hai:
x−2=0⟹x=2
x−2=0⟹x=2
Final Answer:
Roots 2,2 hain (Yahan dono roots real aur equal hain).

