1
JEE Main 2019 (Online) 12th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is 90o, then the length (in cm) of their common chord is :
A
$${{13} \over 5}$$
B
$${{60} \over {13}}$$
C
$${{120} \over {13}}$$
D
$${{13} \over 2}$$
2
JEE Main 2019 (Online) 10th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
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
$$x = \sqrt {1 + 4y} ,y \ge 0$$
3
JEE Main 2019 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
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
4
JEE Main 2019 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
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$$\sqrt 2 $$
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