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Let $D (x_{4}, y_{4})$ be a point such that $A B C D$ is a square and $M & P$ are the midpoints of the sides $B C & C D$ respectively, then

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Important Questions on Point and Straight Line

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-2>Q 44

The equations of perpendicular of the sides

A B and A C

of triangle

A B C

are

x - y - 4 = 0

and

2 x - y - 5 = 0

respectively. If the vertex

A

(- 2, 3)

and circumcentre is

(\frac{3}{2}, \frac{5}{2}),

then which of the following is true.

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Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-2>Q 45

Triangle

A B C

lies in the Cartesian plane and has an area of

70

square units. The coordinates of

B

and

C

are

(12, 19)

and

(23, 20)

respectively and the coordinates of

A

are

(p, q)

. The median to the side

B C

has slope

- 5,

then which can be corrected.

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Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-2>Q 46

All the points lying on or inside the triangle formed by the points

(1, 3), (5, 6)

and

(- 1, 2)

satisfy

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Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-2>Q 47

A \equiv (4, 2)

and

B \equiv (2, 4)

are two given points and a point

P

on the line

3 x + 2 y + 10 = 0

is given then which of the following is/are true.

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Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-2>Q 48

A line passing through

P = (\sqrt{3}, 0)

and making an angle of

60 °

with positive direction of

x

- axis cuts the parabola

y^{2} = x + 2

A

and

B

, then :

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Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-2>Q 49

Let

u \equiv a x + b y + a \sqrt[3]{b} = 0, v \equiv b x - a y + b \sqrt[3]{b} = 0,

where

a, b \in R

be two straight lines, then find the equations of the bisectors of the angles formed by

k_{1} u - k_{2} v = 0 & k_{1} u + k_{2} v = 0

for non zero real

k_{1} & k_{2}

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Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-2>Q 50

The sides of a triangle are the straight lines

x + y = 1, 7 y = x

and

\sqrt{3} y + x = 0

, then which of the following is an interior point of the triangle?

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Alpha Question Bank for Engineering: Mathematics>Chapter 15 - Point and Straight Line>Exercise-2>Q 51

The line

l_{1}

passing through the point

(1, 1)

and the

l_{2}

passes through the point

(- 1, 1)

. If the difference of the slope of lines is

2 .

Find the locus of the point of intersection of the

l_{1}

and

l_{2}

Let Dx4,y4 be a point such that ABCD is a square and M & P are the midpoints of the sides BC & CD respectively, then

Important Questions on Point and Straight Line

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Let $D (x_{4}, y_{4})$ be a point such that $A B C D$ is a square and $M & P$ are the midpoints of the sides $B C & C D$ respectively, then