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).
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
2
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
$$4{x^2} + 4{y^2} + 150x - 49y + 138 = 0$$
3
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
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the equation of the circle which passes through the points (3, $$-$$2) and ($$-$$2, 0) and having its centre on the line 2x $$-$$ y $$-$$ 3 = 0 ?
A
x2 + y2 + 3x + 2 = 0
B
x2 + y2 + 3x + 12y + 2 = 0
C
x2 + y2 + 2x = 0
D
x2 + y2 = 5
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12