1
JEE Main 2021 (Online) 27th July Evening Shift
+4
-1
The point P (a, b) undergoes the following three transformations successively :

(a) reflection about the line y = x.

(b) translation through 2 units along the positive direction of x-axis.

(c) rotation through angle $${\pi \over 4}$$ about the origin in the anti-clockwise direction.

If the co-ordinates of the final position of the point P are $$\left( { - {1 \over {\sqrt 2 }},{7 \over {\sqrt 2 }}} \right)$$, then the value of 2a + b is equal to :
A
13
B
9
C
5
D
7
2
JEE Main 2021 (Online) 27th July Evening Shift
+4
-1
Two sides of a parallelogram are along the lines 4x + 5y = 0 and 7x + 2y = 0. If the equation of one of the diagonals of the parallelogram is 11x + 7y = 9, then other diagonal passes through the point :
A
(1, 2)
B
(2, 2)
C
(2, 1)
D
(1, 3)
3
JEE Main 2021 (Online) 25th July Evening Shift
+4
-1
Out of Syllabus
Let the equation of the pair of lines, y = px and y = qx, can be written as (y $$-$$ px) (y $$-$$ qx) = 0. Then the equation of the pair of the angle bisectors of the lines x2 $$-$$ 4xy $$-$$ 5y2 = 0 is :
A
x2 $$-$$ 3xy + y2 = 0
B
x2 + 4xy $$-$$ y2 = 0
C
x2 + 3xy $$-$$ y2 = 0
D
x2 $$-$$ 3xy $$-$$ y2 = 0
4
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be along the straight line x + y = 3. If R and r be the radius of circumcircle and incircle respectively of $$\Delta$$ABC, then (R + r) is equal to :
A
$$7\sqrt 2$$
B
$${9 \over {\sqrt 2 }}$$
C
$$2\sqrt 2$$
D
$$3\sqrt 2$$
EXAM MAP
Medical
NEET