1
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
Lines are drawn parallel to the line 4x – 3y + 2 = 0, at a distance $${3 \over 5}$$ from the origin. Then which one of the following points lies on any of these lines ?
A
$$\left( {{1 \over 4}, - {1 \over 3}} \right)$$
B
$$\left( { - {1 \over 4},{2 \over 3}} \right)$$
C
$$\left( { - {1 \over 4}, - {2 \over 3}} \right)$$
D
$$\left( {{1 \over 4},{1 \over 3}} \right)$$
2
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
The region represented by| x – y | $$\le$$ 2 and | x + y| $$\le$$ 2 is bounded by a :
A
rhombus of area 8$$\sqrt 2$$ sq. units
B
square of side length 2$$\sqrt 2$$ units
C
square of area 16 sq. units
D
rhombus of side length 2 units
3
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
If the two lines x + (a – 1) y = 1 and 2x + a2y = 1 (a$$\in$$R – {0, 1}) are perpendicular, then the distance of their point of intersection from the origin is :-
A
$${2 \over \sqrt5}$$
B
$${\sqrt2 \over 5}$$
C
$${2 \over 5}$$
D
$$\sqrt{2 \over 5}$$
4
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
Slope of a line passing through P(2, 3) and intersecting the line, x + y = 7 at a distance of 4 units from P, is
A
$${{\sqrt 7 - 1} \over {\sqrt 7 + 1}}$$
B
$${{\sqrt 5 - 1} \over {\sqrt 5 + 1}}$$
C
$${{1 - \sqrt 5 } \over {1 + \sqrt 5 }}$$
D
$${{1 - \sqrt 7 } \over {1 + \sqrt 7 }}$$
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