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1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider a circle passing through the origin and the points (a, b) and ($$-$$b, $$-$$a).
On which line does the centre of the circle lie?
A
x + y = 0
B
x $$-$$ y = 0
C
x + y = a + b
D
x $$-$$ y = a2 $$-$$ b2
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider a circle passing through the origin and the points (a, b) and ($$-$$b, $$-$$a).
What is the sum of the squares of the intercepts cut-off by the circle on the axes?
A
$${\left( {{{{a^2} + {b^2}} \over {{a^2} - {b^2}}}} \right)^2}$$
B
$$2{\left( {{{{a^2} + {b^2}} \over {a - b}}} \right)^2}$$
C
$$4{\left( {{{{a^2} + {b^2}} \over {a - b}}} \right)^2}$$
D
None of these
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The equation of the circle which passes through the points (1, 0), (0, $$-$$6) and (3, 4) is
A
$$4{x^2} + 4{y^2} + 142x + 47y + 140 = 0$$
B
$$4{x^2} + 4{y^2} - 142x - 47y + 138 = 0$$
C
$$4{x^2} + 4{y^2} - 142x + 47y + 138 = 0$$
D
$$4{x^2} + 4{y^2} + 150x - 49y + 138 = 0$$
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The two circles x2 + y2 = r2 and x2 + y2 $$-$$ 10x + 16 = 0 intersect at two distinct points. Then which one of the following is correct?
A
2 < r < 8
B
r = 2 or r = 8
C
r < 2
D
r > 2
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