1
JEE Main 2017 (Offline)
+4
-1
Out of Syllabus
The radius of a circle, having minimum area, which touches the curve y = 4 – x2 and the lines, y = |x| is :
A
$$2\left( {\sqrt 2 - 1} \right)$$
B
$$4\left( {\sqrt 2 - 1} \right)$$
C
$$4\left( {\sqrt 2 + 1} \right)$$
D
$$2\left( {\sqrt 2 + 1} \right)$$
2
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
Out of Syllabus
Equation of the tangent to the circle, at the point (1, −1), whose centre is the point of intersection of the straight lines x − y = 1 and 2x + y = 3 is :
A
4x + y − 3 = 0
B
x + 4y + 3 = 0
C
3x − y − 4 = 0
D
x − 3y − 4 = 0
3
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
A circle passes through (−2, 4) and touches the y-axis at (0, 2). Which one of the following equations can represent a diameter of this circle?
A
4x + 5y − 6 = 0
B
2x − 3y + 10 = 0
C
3x + 4y − 3 = 0
D
5x + 2y + 4 = 0
4
JEE Main 2016 (Offline)
+4
-1
Out of Syllabus
The centres of those circles which touch the circle, $${x^2} + {y^2} - 8x - 8y - 4 = 0$$, externally and also touch the $$x$$-axis, lie on :
A
a circle
B
an ellipse which is not a circle
C
a hyperbola
D
a parabola
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