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1
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
2
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
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The equation of a circle whose end points of a diameter are (x1, y1) and (x2, y2) is
A
$$(x - {x_1})(x - {x_2}) + (y - {y_1})(y - {y_2}) = {x^2} + {y^2}$$
B
$${(x - {x_1})^2} + {(y - {y_1})^2} = {x_2}{y_2}$$
C
$${x^2} + {y^2} + 2{x_1}{x_2} + 2{y_1}{y_2} = 0$$
D
$$(x - {x_1})(x - {x_2}) + (y - {y_1})(y - {y_2}) = 0$$
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If Y-axis touches the circle $${x^2} + {y^2} + gx + fy + {c \over 4} = 0$$, then the normal at this point intersects the circle at the point.
A
$$\left( { - {g \over 2},{f \over 2}} \right)$$
B
$$\left( { - g, - {f \over 2}} \right)$$
C
$$\left( { - {g \over 2},f} \right)$$
D
$$\left( { - g, - f} \right)$$
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