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If the coordinates of the points $A$ and $B$ are $(3, 3)$ and $(7, 6)$ , then the length of the portion of the line $A B$ intercepted between the axes is

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Important Questions on Straight Line and Pair of Straight Lines

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Work Book Exercise 12.1>Q 3

A (1, 1), B (\sqrt{3} + 1, 2)

and

C (\sqrt{3}, \sqrt{3} + 2)

are three vertices of a square, then the diagonal through

B

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Work Book Exercise 12.1>Q 4

If each of the points

(x_{1}, 4)

and

(- 2, y_{1})

lies on the line joining the points

(2, - 1)

and

(5, - 3),

then the point

P (x_{1}, y_{1})

lies on the line

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Work Book Exercise 12.1>Q 5

All points lying inside the triangle formed by the points

(1, 3), (5, 0)

and

(- 1, 2)

satisfy

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Work Book Exercise 12.1>Q 6

A square is constructed on the portion of the line

x + y = 5,

which is intercepted between the axes on the side of the line away from origin. The equations to the diagonals of the square are

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Work Book Exercise 12.1>Q 7

A ray of light coming from the point

(1, 2)

is reflected at a point

A

on the

X

-axis and then passes through the point

(5, 3)

. The coordinates of the point

A

are

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JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Work Book Exercise 12.1>Q 8

The larger of the two angles made with

x

-axis of a straight line drawn through

(1, 2),

so that it intersects

x + y = 4

at a distance

\frac{\sqrt{6}}{3}

from

(1, 2),

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Work Book Exercise 12.1>Q 9

If two vertices of a triangle are

(5, - 1)

and

(- 2, 3)

and its orthocentre lies at the origin, then the coordinates of the third vertex are

HARD

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 12 - Straight Line and Pair of Straight Lines>Work Book Exercise 12.1>Q 10

The equations of the line on which the perpendiculars from the origin make

30^{°}

angle with

x

-axis and which form a triangle of area

\frac{50}{\sqrt{3}}

with axes, are

If the coordinates of the points A and B are (3,3) and (7,6), then the length of the portion of the line AB intercepted between the axes is

Important Questions on Straight Line and Pair of Straight Lines

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If the coordinates of the points $A$ and $B$ are $(3, 3)$ and $(7, 6)$ , then the length of the portion of the line $A B$ intercepted between the axes is