1
JEE Main 2021 (Online) 24th February Morning Shift
+4
-1
A man is walking on a straight line. The arithmetic mean of the reciprocals of the intercepts of this line on the coordinate axes is $${1 \over 4}$$. Three stones A, B and C are placed at the points (1, 1), (2, 2) and (4, 4) respectively. Then, which of these stones is / are on the path of the man?
A
A only
B
All the three
C
C only
D
B only
2
JEE Main 2020 (Online) 6th September Evening Slot
+4
-1
Let L denote the line in the xy-plane with x and y intercepts as 3 and 1 respectively. Then the image of the point (–1, –4) in this line is :
A
$$\left( {{{11} \over 5},{{28} \over 5}} \right)$$
B
$$\left( {{{29} \over 5},{{11} \over 5}} \right)$$
C
$$\left( {{{29} \over 5},{8 \over 5}} \right)$$
D
$$\left( {{8 \over 5},{{29} \over 5}} \right)$$
3
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
A ray of light coming from the point (2, $$2\sqrt 3$$) is incident at an angle 30o on the line x = 1 at the point A. The ray gets reflected on the line x = 1 and meets x-axis at the point B. Then, the line AB passes through the point :
A
(3, -$$\sqrt 3$$)
B
(4, -$$\sqrt 3$$)
C
$$\left( {4, - {{\sqrt 3 } \over 2}} \right)$$
D
$$\left( {3, - {1 \over {\sqrt 3 }}} \right)$$
4
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
If the perpendicular bisector of the line segment joining the points P(1 ,4) and Q(k, 3) has y-intercept equal to –4, then a value of k is :
A
$$\sqrt {14}$$
B
-4
C
–2
D
$$\sqrt {15}$$
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