Algebra
Sets, Relations and Functions
MCQ (Single Correct Answer)
Quadratic Equations and Inequalities
MCQ (Single Correct Answer)
Sequence And Series
MCQ (Single Correct Answer)
Permutations and Combinations
MCQ (Single Correct Answer)
Three Dimensional Geometry
MCQ (Single Correct Answer)
Trigonometry
Trigonometric Angles and Equations
MCQ (Single Correct Answer)
Inverse Trigonometric Function
MCQ (Single Correct Answer)
Height and Distance
MCQ (Single Correct Answer)
Properties of Triangles
MCQ (Single Correct Answer)
Calculus
Limit, Continuity and Differentiability
MCQ (Single Correct Answer)
Application of Derivatives
MCQ (Single Correct Answer)
Indefinite Integration
MCQ (Single Correct Answer)
Definite Integration
MCQ (Single Correct Answer)
Area Under The Curves
MCQ (Single Correct Answer)
Differential Equations
MCQ (Single Correct Answer)
1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Let p, q(p > q) be the roots of the quadratic equation x2 + bx + c = 0 where c > 0. If p2 + q2 − 11pq = 0, then what is p − q equal to ?
A
3$\sqrt{\text{c}}$
B
3c
C
9$\sqrt{\text{c}}$
D
9c
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Let α and β be the roots of the equation x2 + px + q = 0. If α3 and β3 are the roots of the equation x+ mx + n = 0, then what is the value of m + n ?
A
p3 + q3 + pq
B
p3 + q3 - pq
C
p3 + q3 + 3pq
D
p3 + q3 - 3pq
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Let α and β be the roots of the equation x2 - ax - bx + ab - c = 0. What is the quadratic equation whose roots are a and b?
A
x2 - αx - βx + αβ + c = 0
B
x2 - αx - βx + αβ - c = 0
C
x+ αx + βx + αβ + c = 0
D
x2 + αx + βx + αβ - c = 0
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
If the roots of the equation x2 - ax - bx - cx + bc + ca = 0 are equal, then which one of the following is correct?
A
a + b + c = 0
B
a - b + c = 0
C
a + b - c = 0
D
-a + b + c = 0