EASY

JEE Main

IMPORTANT

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Consider the set of all lines $p x + q y + r = 0$ such that $3 p + 2 q + 4 r = 0 .$ Which one of the following statements is true?

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Important Questions on Point and Straight Line

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 9th January 2019 Shift 2>Q 38

Let

S

be the set of all triangles in the

x y

-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in

S

has area

50

sq. units, then the number of elements in the set

S

is:

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 9th January 2019 Shift 2>Q 39

Let the equations of two sides of a triangle be

3 x - 2 y + 6 = 0

and

4 x + 5 y - 20 = 0 .

If the orthocenter of this triangle is at

(1, 1)

then the equation of it's third side is:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 8th April 2019 Shift 1>Q 40

A point on the straight line,

3 x + 5 y = 15

which is equidistant from the coordinate axes will lie only in:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 8th April 2019 Shift 2>Q 41

Suppose that the points

(h, k), (1, 2)

and

(- 3, 4)

lie on the line

L_{1} .

If a line

L_{2}

passing through the points

(h, k)

and

(4, 3)

is perpendicular to

L_{1},

then

\frac{k}{h}

equals:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 10th April 2019 Shift 1>Q 42

If $Q (0, - 1, - 3)$ is the image of the point $P$ in the plane $3 x - y + 4 z = 2$ and $R$ is the point $(3, - 1, - 2)$ , then the area (in sq. units) of $Δ P Q R$ is

Question Image

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 10th April 2019 Shift 2>Q 43

Lines are drawn parallel to the line

4 x - 3 y + 2 = 0,

at a distance

\frac{3}{5}

units from the origin. Then which one of the following points lies on any of these lines?

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 10th January 2019 Shift 1>Q 44

If the line

3 x + 4 y - 24 = 0

intersects the

x

-axis at the point

A

and the

y

-axis at the point

B,

then the incentre of the triangle

O A B,

where

O

is the origin, is:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 14 - Point and Straight Line>JEE Main - 10th January 2019 Shift 1>Q 45

A point

P

moves on the line

2 x - 3 y + 4 = 0 .

Q (1, 4)

and

R (3, - 2)

are fixed points, then the locus of the centroid of

Δ P Q R

is a line:

Consider the set of all lines px+qy+r=0 such that 3p+2q+4r=0. Which one of the following statements is true?

Important Questions on Point and Straight Line

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Consider the set of all lines $p x + q y + r = 0$ such that $3 p + 2 q + 4 r = 0 .$ Which one of the following statements is true?