1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Under which one of the following conditions will be quadratic equation x2 + mx + 2 = 0 always have real roots?
A
$$2\sqrt 3 \le {m^2} < 8$$
B
$$\sqrt 3 \le {m^2} < 4$$
C
$${m^2} \ge 8$$
D
$${m^2} \le \sqrt 3 $$
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If both p and q belong to the set {1, 2, 3, 4}, then how many equations of the form px2 + qx + 1 = 0 will have real roots?
A
12
B
10
C
7
D
6
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the value of k for which the sum of the squares of the roots of $$2{x^2} - 2(k - 2)x - (k + 1) = 0$$ is minimum?
A
$$-$$1
B
1
C
$${3 \over 2}$$
D
2
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the roots of the equation $$a(b - c){x^2} + b(c - a)x + c(a - b) = 0$$ are equal, then which one of the following is correct?
A
a, b and c are in AP
B
a, b and c are in GP
C
a, b and c are in HP
D
a, b and c do not follow any regular pattern