JEE Main 2020 (Online) 9th January Morning Slot | Circle Question 72 | Mathematics

JEE Main 2020 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

-1

A circle touches the y-axis at the point (0, 4) and passes through the point (2, 0). Which of the following lines is not a tangent to this circle ?

3x – 4y – 24 = 0

4x + 3y – 8 = 0

3x + 4y – 6 = 0

4x – 3y + 17 = 0

JEE Main 2020 (Online) 8th January Evening Slot

MCQ (Single Correct Answer)

-1

If a line, y = mx + c is a tangent to the circle, (x – 3)² + y² = 1 and it is perpendicular to a line L₁, where L₁ is the tangent to the circle, x² + y² = 1 at the point $$\left( {{1 \over {\sqrt 2 }},{1 \over {\sqrt 2 }}} \right)$$, then

c² + 6c + 7 = 0

c² - 7c + 6 = 0

c² – 6c + 7 = 0

c² + 7c + 6 = 0

JEE Main 2020 (Online) 7th January Evening Slot

MCQ (Single Correct Answer)

-1

Let the tangents drawn from the origin to the circle,
x² + y² - 8x - 4y + 16 = 0 touch it at the points A and B. The (AB)² is equal to:

$${{56} \over 5}$$

$${{32} \over 5}$$

$${{52} \over 5}$$

$${{64} \over 5}$$

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 :

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

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

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

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

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