Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 5 - Coordinates and Straight Lines>5.1>Q 23

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IMPORTANT

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If $a, b, c$ are variables such that $21 a + 40 b + 56 c = 0$ then the family of lines $a x + b y + c = 0$ passes through

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Important Questions on Coordinates and Straight Lines

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JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 5 - Coordinates and Straight Lines>5.1>Q 24

Consider a triangle

PQR

with

P \equiv (0, 0),

Q \equiv (a, 0),

R \equiv (0, b) .

Then the centroid, orthocentre, and circumcentre

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Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 5 - Coordinates and Straight Lines>5.1>Q 25

The equation of the line bisecting the obtuse angle between

y - x = 2

and

2 y + x = 5

is

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IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 5 - Coordinates and Straight Lines>5.1>Q 26

The line

l_{1} x + m_{1} y + n = 0

and

l_{2} x + m_{2} y + n = 0

will cut the coordinate axes at concyclic points if

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Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 5 - Coordinates and Straight Lines>5.1>Q 27

If two sides of a triangle are represented by

2 x - 3 y + 4 = 0

and

3 x + 2 y - 3 = 0,

then its orthocentre lies on the line:

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JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 5 - Coordinates and Straight Lines>5.1>Q 28

Equation of the line equidistant from

3 x + 4 y - 25 = 0

and

3 x + 4 y + 25 = 0

is

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IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 5 - Coordinates and Straight Lines>5.1>Q 29

The equation of a line through

(2, - 4)

which cuts the axes so that the intercepts are equal in magnitude is

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Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 5 - Coordinates and Straight Lines>5.1>Q 30

A line is perpendicular to

x + 2 y = 1

. The area of triangle formed by the line and coordinate axes is

9,

then the equation of the line is

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JEE Main

IMPORTANT

Eduwiser's Coordinate Geometry for JEE Main and Advanced>Chapter 5 - Coordinates and Straight Lines>5.1>Q 31

The straight line passing through the intersection of the lines

x + 3 y - 1 = 0

and

2 x + y + 4 = 0

and parallel to the

x

-axis is