JEE Main 2019 (Online) 12th April Evening Slot | Circle Question 112 | Mathematics

If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is 90^o, then the length (in cm) of their common chord is :

$${{13} \over 5}$$

$${{60} \over {13}}$$

$${{120} \over {13}}$$

$${{13} \over 2}$$

JEE Main 2019 (Online) 10th April Evening Slot

MCQ (Single Correct Answer)

-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 :

$$x = \sqrt {1 + 2y} ,y \ge 0$$

$$y = \sqrt {1 + 2x} ,x \ge 0$$

$$y = \sqrt {1 + 4x} ,x \ge 0$$

$$x = \sqrt {1 + 4y} ,y \ge 0$$

JEE Main 2019 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

-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 :

2$$\sqrt 2 $$

3$$\sqrt 2 $$

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