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 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The area of the figure formed by the lines

ax + by + c = 0, ax $$-$$ by + c = 0, ax + by $$-$$ c = 0 and ax $$-$$ by $$-$$ c = 0 is
A
$${{{c^2}} \over {ab}}$$
B
$${{{2c^2}} \over {ab}}$$
C
$${{{c^2}} \over {2ab}}$$
D
$${{{c^2}} \over {4ab}}$$
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If a line is perpendicular to the line 5x $$-$$ y = 0 and forms a triangle of area 5 sq units with coordinate axes, then its equation is
A
x + 5y $$\mp$$ 5$$\sqrt 2 $$ = 0
B
x $$-$$ 5y $$\mp$$ 5$$\sqrt 2 $$ = 0
C
5x + y $$\mp$$ 5$$\sqrt 2 $$ = 0
D
5x $$-$$ y $$\mp$$ 5$$\sqrt 2 $$ = 0
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The three lines 4x + 4y = 1, 8x $$-$$ 3y = 2, y = 0 are
A
the sides of an isosceles triangle
B
concurrent
C
mutually perpendicular
D
the sides of an equilateral triangle
4
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The line 3x + 4y $$-$$ 24 = 0 intersects the X-axis at A and Y-axis at B. Then, the circumcentre of the $$\Delta$$OAB, where O is the origin, is
A
(2, 3)
B
(3, 3)
C
(4, 3)
D
None of these