1
JEE Main 2020 (Online) 9th January Morning Slot
+4
-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 ?
A
3x – 4y – 24 = 0
B
4x + 3y – 8 = 0
C
3x + 4y – 6 = 0
D
4x – 3y + 17 = 0
2
JEE Main 2020 (Online) 8th January Evening Slot
+4
-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
A
c2 + 6c + 7 = 0
B
c2 - 7c + 6 = 0
C
c2 – 6c + 7 = 0
D
c2 + 7c + 6 = 0
3
JEE Main 2020 (Online) 7th January Evening Slot
+4
-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:
A
$${{56} \over 5}$$
B
$${{32} \over 5}$$
C
$${{52} \over 5}$$
D
$${{64} \over 5}$$
4
JEE Main 2019 (Online) 12th April Evening Slot
+4
-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 :
A
$$\left( {{1 \over 3},2} \right)$$
B
$$\left( {{1 \over 3},{5 \over 3}} \right)$$
C
$$\left( {1,{7 \over 3}} \right)$$
D
$$\left( {{1 \over 3},1} \right)$$
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