1
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
Out of Syllabus
The locus of the centres of the circles, which touch the circle, x2 + y2 = 1 externally, also touch the y-axis and lie in the first quadrant, is :
A
$$x = \sqrt {1 + 2y} ,y \ge 0$$
B
$$y = \sqrt {1 + 2x} ,x \ge 0$$
C
$$y = \sqrt {1 + 4x} ,x \ge 0$$
D
$$x = \sqrt {1 + 4y} ,y \ge 0$$
2
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
Out of Syllabus
If the circles x2 + y2 + 5Kx + 2y + K = 0 and 2(x2 + y2) + 2Kx + 3y –1 = 0, (K$$\in$$R), intersect at the points P and Q, then the line 4x + 5y – K = 0 passes through P and Q, for :
A
exactly two values of K
B
no value of K
C
exactly one value of K
D
infinitely many values of K
3
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
Out of Syllabus
The line x = y touches a circle at the point (1,1). If the circle also passes through the point (1, – 3), then its radius is :
A
3
B
2
C
2$$\sqrt 2$$
D
3$$\sqrt 2$$
4
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
Out of Syllabus
The common tangent to the circles x 2 + y2 = 4 and x2 + y2 + 6x + 8y – 24 = 0 also passes through the point :
A
(6, –2)
B
(4, –2)
C
(–4, 6)
D
(–6, 4)
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