1
JEE Main 2020 (Online) 3rd September Evening Slot
+4
-1
If a $$\Delta$$ABC has vertices A(–1, 7), B(–7, 1) and C(5, –5), then its orthocentre has coordinates :
A
(–3, 3)
B
(3, –3)
C
$$\left( {{3 \over 5}, - {3 \over 5}} \right)$$
D
$$\left( { - {3 \over 5},{3 \over 5}} \right)$$
2
JEE Main 2020 (Online) 2nd September Evening Slot
+4
-1
The set of all possible values of $$\theta$$ in the interval
(0, $$\pi$$) for which the points (1, 2) and (sin $$\theta$$, cos $$\theta$$) lie
on the same side of the line x + y = 1 is :
A
$$\left( {0,{\pi \over 4}} \right)$$
B
$$\left( {0,{{3\pi } \over 4}} \right)$$
C
$$\left( {{\pi \over 4},{{3\pi } \over 4}} \right)$$
D
$$\left( {0,{\pi \over 2}} \right)$$
3
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
Let C be the centroid of the triangle with vertices (3, –1), (1, 3) and (2, 4). Let P be the point of intersection of the lines x + 3y – 1 = 0 and 3x – y + 1 = 0. Then the line passing through the points C and P also passes through the point :
A
(–9, –7)
B
(9, 7)
C
(7, 6)
D
(–9, –6)
4
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
Let two points be A(1, –1) and B(0, 2). If a point P(x', y') be such that the area of $$\Delta$$PAB = 5 sq. units and it lies on the line, 3x + y – 4$$\lambda$$ = 0, then a value of $$\lambda$$ is
A
4
B
1
C
-3
D
3
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