1
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
The foot of the perpendicular drawn from the origin, on the line, 3x + y = $$\lambda$$ ($$\lambda$$ $$\ne$$ 0) is P. If the line meets x-axis at A and y-axis at B, then the ratio BP : PA is :
A
1 : 3
B
3 : 1
C
1 : 9
D
9 : 1
2
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
In a triangle ABC, coordinates of A are (1, 2) and the equations of the medians through B and C are respectively, x + y = 5 and x = 4. Then area of $$\Delta$$ ABC (in sq. units) is :
A
12
B
4
C
5
D
9
3
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
A square, of each side 2, lies above the x-axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle 30o with the positive direction of the x-axis, then the sum of the x-coordinates of the vertices of the square is :
A
$$2\sqrt 3 - 1$$
B
$$2\sqrt 3 - 2$$
C
$$\sqrt 3 - 2$$
D
$$\sqrt 3 - 1$$
4
JEE Main 2017 (Offline)
+4
-1
Let k be an integer such that the triangle with vertices (k, – 3k), (5, k) and (–k, 2) has area 28 sq. units. Then the orthocentre of this triangle is at the point :
A
$$\left( {1,{3 \over 4}} \right)$$
B
$$\left( {1, - {3 \over 4}} \right)$$
C
$$\left( {2,{1 \over 2}} \right)$$
D
$$\left( {2, - {1 \over 2}} \right)$$
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