1
JEE Main 2018 (Online) 15th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The sides of a rhombus ABCD are parallel to the lines, x $$-$$ y + 2 = 0 and 7x $$-$$ y + 3 = 0. If the diagonals of the rhombus intersect P(1, 2) and the vertex A (different from the origin) is on the y-axis, then the coordinate of A is :
A
$${5 \over 2}$$
B
$${7 \over 4}$$
C
2
D
$${7 \over 2}$$
2
JEE Main 2018 (Online) 15th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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
MCQ (Single Correct Answer)
+4
-1
Change Language
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)
MCQ (Single Correct Answer)
+4
-1
Change Language
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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