JEE Main 2019 (Online) 10th April Evening Slot | Straight Lines and Pair of Straight Lines Question 88 | Mathematics

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 ?

$$\left( {{1 \over 4}, - {1 \over 3}} \right)$$

$$\left( { - {1 \over 4},{2 \over 3}} \right)$$

$$\left( { - {1 \over 4}, - {2 \over 3}} \right)$$

$$\left( {{1 \over 4},{1 \over 3}} \right)$$

JEE Main 2019 (Online) 10th April Morning Slot

MCQ (Single Correct Answer)

-1

The region represented by| x – y | $$ \le $$ 2 and | x + y| $$ \le $$ 2 is bounded by a :

rhombus of area 8$$\sqrt 2 $$ sq. units

square of side length 2$$\sqrt 2 $$ units

square of area 16 sq. units

rhombus of side length 2 units

JEE Main 2019 (Online) 9th April Evening Slot

MCQ (Single Correct Answer)

-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 :

$${2 \over \sqrt5}$$

$${\sqrt2 \over 5}$$

$${2 \over 5}$$

$$\sqrt{2 \over 5}$$

JEE Main 2019 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

-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 :

$${{\sqrt 7 - 1} \over {\sqrt 7 + 1}}$$

$${{\sqrt 5 - 1} \over {\sqrt 5 + 1}}$$

$${{1 - \sqrt 5 } \over {1 + \sqrt 5 }}$$

$${{1 - \sqrt 7 } \over {1 + \sqrt 7 }}$$