JEE Main 2019 (Online) 12th April Evening Slot | Circle Question 75 | Mathematics

JEE Main 2019 (Online) 12th April Evening Slot

MCQ (Single Correct Answer)

-1

A triangle has a vertex at (1, 2) and the mid points of the two sides through it are (–1, 1) and (2, 3). Then the centroid of this triangle is :

$$\left( {{1 \over 3},2} \right)$$

$$\left( {{1 \over 3},{5 \over 3}} \right)$$

$$\left( {1,{7 \over 3}} \right)$$

$$\left( {{1 \over 3},1} \right)$$

JEE Main 2019 (Online) 12th April Evening Slot

MCQ (Single Correct Answer)

-1

A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :

(1, 5)

( 2, 3)

(3, 5)

(3, 10)

JEE Main 2019 (Online) 12th April Morning Slot

MCQ (Single Correct Answer)

-1

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

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

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

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

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

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

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