1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
How many real numbers satisfy the equation |x - 4| + |x - 7| = 15 ?
A
Only one 
B
Only two 
C
Only three
D
Infinitely many
2
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
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

A quadratic equation is given by

(3 + 2√2)x2 - (4 + 2√3)x + (8 + 4√3) = 0

What is the HM of the roots of the equation ? 
A
2
B
4
C
2√2
D
2√3
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

A quadratic equation is given by

(3 + 2√2)x2 - (4 + 2√3)x + (8 + 4√3) = 0

What is the GM of the roots of the equation ?
A
√2(√6 - √3 + √2 - 1)
B
√2(√6 + √3 - √2 - 1)
C
(√6 - √3 + √2 - 1)
D
(√6 + √3 + √2 - 1)
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