EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET - 5 August 2021 Shift 1>Q 35

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The slope of a line $L$ is $2 .$ If $m_{1}, m_{2}$ are slopes of two lines which are inclined at an angle of $\frac{π}{6}$ with $L,$ then $m_{1} + m_{2} =$

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Important Questions on The Straight Line

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET - 5 August 2021 Shift 1>Q 36

In a

∆ A B C, 2 x + 3 y + 1 = 0, x + 2 y - 12 = 0

are the perpendicular bisectors of its sides

A B

and

A C

respectively and if

A

is

(3, 2),

then the slope of the side

B C

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET - 5 August 2021 Shift 1>Q 37

If the equation of a line having a slope

m (m \in Z),

passing through

(1, 1)

and making an angle of

\tan^{- 1} (\frac{5}{7})

with the line

x + y - 3 = 0

is

a x + y + c = 0,

then

a c =

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET - 5 August 2021 Shift 2>Q 38

x - y = 0

and

\frac{x}{2} + \frac{y}{2} = 1

are respectively the perpendicular bisectors of the sides

A B

and

A C

of a triangle

A B C .

If the vertex is

A (2, 3),

then the equation of the side

B C

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET - 5 August 2021 Shift 2>Q 39

In an isosceles right angled triangle, if the equation of the hypotenuse and its opposite vertex are

3 x + 4 y = 4

and

(2, 2),

then the slopes of the remaining two sides are

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2018 (04-May Shift-1)>Q 8

A quadrilateral

A B C D

is divided by the diagonal

A C

into two triangles of equal areas. If

A, B, C

are respectively

(3, 4), (- 3, 6), (- 5, 1)

, then the locus of

D

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2019 (03-May Shift-2)>Q 9

The locus of all points that are at a distance greater than $2$ units from $(- 3, 0)$ , is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2021 (04-Aug Shift-1)>Q 10

A rod of length

6

units slides with its ends on the coordinate axes. The locus of the midpoint of the rod is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2021 (04-Aug Shift-2)>Q 12

A straight line passing through a fixed point

(3, 5)

intersects the coordinate axes at two points

A

and

B .

If the locus of

C (x, y)

which forms a rectangle with the points

A, O

(origin) and

B

is

a x + 2 h x y + b y = 0

then

a + b + h =