CUET PG 2025 — Mathematics PYQ
CUET PG | Mathematics | 2025If (x−1) is a factor of 2x2−5x+k=0, then the value of k is:
Choose the correct answer:
- A.
2
- B.
5
- C.
3
(Correct Answer) - D.
4
3
Explanation
1. Polynomial ko define karna
Maana ki diya gaya polynomial hai:
P(x)=2x2−5x+k
Humein diya gaya hai ki (x−1) iska ek factor hai. Iska matlab hai ki jab hum x=1 rakhenge, toh polynomial ki value 0 ho jayegi.
Yani, P(1)=0.
2. Value nikaalna (Step-by-Step)
Polynomial mein x=1 rakhne par:
2(1)2−5(1)+k=0
Ab ise solve karte hain:
2(1)−5+k=0
2−5+k=0
−3+k=0
Ab −3 ko barabar ke dusri taraf le jaane par:
k=3
Answer:
k ki sahi value 3 hai.
Explanation
1. Polynomial ko define karna
Maana ki diya gaya polynomial hai:
P(x)=2x2−5x+k
Humein diya gaya hai ki (x−1) iska ek factor hai. Iska matlab hai ki jab hum x=1 rakhenge, toh polynomial ki value 0 ho jayegi.
Yani, P(1)=0.
2. Value nikaalna (Step-by-Step)
Polynomial mein x=1 rakhne par:
2(1)2−5(1)+k=0
Ab ise solve karte hain:
2(1)−5+k=0
2−5+k=0
−3+k=0
Ab −3 ko barabar ke dusri taraf le jaane par:
k=3
Answer:
k ki sahi value 3 hai.