1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The equation ax + by + c = 0 represents a straight line
A
for all real numbers, a, b and c
B
only when a $$\ne$$ 0
C
only when b $$\ne$$ 0
D
only when at least one of a and b is non-zero
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the angle between the lines x cos$$\alpha$$ + y sin$$\alpha$$ = a and x sin$$\beta$$ $$-$$ y cos$$\beta$$ = a ?
A
$$\beta$$ $$-$$ $$\alpha$$
B
$$\pi$$ + $$\beta$$ $$-$$ $$\alpha$$
C
$${{(\pi + 2\beta + 2\alpha )} \over 2}$$
D
$${{(\pi - 2\beta + 2\alpha )} \over 2}$$
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements

1. For an equation of a line, $$x\cos \theta + y\sin \theta = p$$, in normal form, the length of the perpendicular from the point ($$\alpha$$, $$\beta$$) to the line is $$\left| {\alpha \cos \theta + \beta \sin \theta + p} \right|$$.

The length of the perpendicular from the point ($$\alpha$$, $$\beta$$) to the line $${x \over a} + {y \over b} = 1$$ is $$\left| {{{a\alpha + b\beta - ab} \over {\sqrt {{a^2} + {b^2}} }}} \right|$$.

Which of the above statements is/are correct?
A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The points (1, 3) and (5, 1) are two opposite vertices of a rectangle. The other two vertices lie on the line y = 2x + c. What is the value of c?
A
2
B
$$-$$2
C
4
D
$$-$$4
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