1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What re the roots of the equation $$\left| {{x^2} - x - 6} \right| = x + 2$$?
A
$$-$$2, 1, 4
B
0, 2, 4
C
0, 1, 4
D
$$-$$2, 2, 4
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The equation px2 + qx + r = 0 (where p, q, r all are positive) has distinct real roots a and b. Which one of the following is correct?
A
a > 0, b > 0
B
a < 0, b < 0
C
a > 0, b < 0
D
a < 0, b > 0
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The number of real roots for the equation $${x^2} + 9\left| x \right| + 20 = 0$$ is
A
zero
B
one
C
two
D
three
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

If $\sqrt{2}$ and $\sqrt{3}$ are roots of the equation $a_0 + a_1 x + a_2 x^2 + a_3 x^3 + x^4 = 0$ where $a_0, a_1, a_2, a_3$ are integers, then which one of the following is correct?

A

$a_2 = a_3 = 0$

B

$a_2 = 0$ and $a_3 = -5$

C

$a_0 = 6$, $a_3 = 0$

D

$a_1 = 0$ and $a_2 = 5$

EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12