1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

α and β are distinct real roots of the quadratic equation x2 + ax + b = 0. Which of the following statements is/are sufficient to find α ? 

1. α + β = 0, α2 + β2 = 2

2. αβ2 = -1, a = 0

Select the correct answer using the code given below :

A
1 only 
B
2 only 
C
Both 1 and 2
D
Neither 1 nor 2
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If the sixth term in the binomial expansion of $\left(x^{-\frac{8}{3}}+x^2 \log _{10} x\right)^8$ is 5600, then what is the value of x ? 
A
6
B
8
C
9
D
10
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
How many terms are there in the expansion of (3x - y)4(x + 3y)4 ?  
A
9
B
12
C
15
D
17
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
p, q, r and s are in AP such that p + s = 8 and qr = 15. What is the difference between largest and smallest numbers ?  
A
6
B
5
C
4
D
3
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