Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 2 - The Straight Lines>FILL IN THE BLANKS>Q 4

EASY

JEE Main/Advanced

IMPORTANT

Earn 100

The four sides of a quadrilateral are given by the equation $x y (x - 2) (y - 3) = 0$ . The equation the line parallel to $x - 4 y = 0$ that divides the quadrilateral in two equal areas is

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Important Questions on The Straight Lines

HARD

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 2 - The Straight Lines>FILL IN THE BLANKS>Q 5

If the lines

2 (\sin a + \sin b) x - 2 \sin (a - b) y = 3

2 (\cos a + \cos b) x + 2 \cos (a - b) y = 5

are perpendicular, then

\sin 2 a + \sin 2 b

is equal to _____

EASY

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 2 - The Straight Lines>FILL IN THE BLANKS>Q 6

If the sum of the distances of a point from two perpendicular lines in a plane is

1,

then its locus is:

MEDIUM

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 2 - The Straight Lines>FILL IN THE BLANKS>Q 7

The incentre of triangle formed by the lines

x = 0, y = 0

and

3 x + 4 y = 12

is -

HARD

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 2 - The Straight Lines>FILL IN THE BLANKS>Q 8

A family of lines is given by the equation

(3 x + 4 y + 6) + λ (x + y + 2) = 0

. The line situated at the greatest distance from the point

(2, 3)

belonging to this family has the equation _____ .

MEDIUM

JEE Main/Advanced

IMPORTANT

Skills in Mathematics Coordinate Geometry for JEE Main & Advanced>Chapter 2 - The Straight Lines>FILL IN THE BLANKS>Q 9

If

3 a + 2 b + 6 c = 0

, the family of straight lines

a x + b y + c = 0

passes through a fixed point whose coordinates are given by