JEE Main 2019 (Online) 12th April Evening Slot | Circle Question 102 | 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

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 :

exactly two values of K

no value of K

exactly one value of K

infinitely many values of K

PREVIOUS NEXT

Questions Asked from Circle (MCQ (Single Correct Answer))

Number in Brackets after Paper Indicates No. of Questions