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1
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
$$(x - {x_1})(x - {x_2}) + (y - {y_1})(y - {y_2}) = 0$$
2
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
$$\left( { - g, - f} \right)$$
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A circle is drawn on the chord of a circle x2 + y2 = a2 as diameter. The chord lies on the line x + y = a. What is the equation of the circle?
A
x2 + y2 $$-$$ ax $$-$$ ay + a2 = 0
B
x2 + y2 $$-$$ ax $$-$$ ay = 0
C
x2 + y2 + ax + ay = 0
D
x2 + y2 + ax + ay $$-$$ 2a2 = 0
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The circle x2 + y2 + 4x $$-$$ 7y + 12 = 0, cuts an intercept on Y-axis equal to
A
1
B
3
C
4
D
7
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