Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 24

HARD

JEE Advanced

IMPORTANT

Earn 100

The slopes of the lines joining the origin to the points of trisection of the portion of the line $3 x + y = 12$ intercepted between the axis are the roots of the equation

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Important Questions on Straight Line and Pair of Straight Lines

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 25

A B C D

is square with

A (1, 2), B (3, - 4)

. If line

C D

passes through

(3, 8)

then midpoint of

C D

is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 26

The area of the triangle formed by the lines

Y = a x

,

x + y - a = 0

and the

Y

-axis is equal to

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 27

The straight lines

7 x - 2 y + 10 = 0

and

7 x + 2 y - 10 = 0

forms an isosceles triangle with the line

y = 2,

area of this triangle is equal to

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 28

If

x - 2 y + 4 = 0

and

2 x + y - 5 = 0

are the sides of an isosceles triangle having area

10 sq.

units. Equation of the third side is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 29

The equation of a straight line equally inclined to the axes and equidistant from the points

(1, - 2)

and

(3, 4)

is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 30

A pair of straight line drawn through the origin form with the line

2 x + 3 y = 6

an isosceles right angled triangle, then the lines and the area of the triangle, thus formed is

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 31

The area enclosed within the curve

| x | + | y | = 1,

is

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Target Exercises>Q 32

The sides of a rectangle are

x = 0, y = 0, x = 4

and

y = 3 .

The equation of the straight line having slope

\frac{1}{2}

that divides the rectangle into two equal halves, is