EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2020 (9-Sep Shift-1)>Q 7

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Let $A = (0, 4)$ and $B = (2 \cos θ, 2 \sin θ),$ for some $0 < θ < \frac{π}{2} .$ Let $P$ divide the line segment $A B$ in the ratio $2 : 3$ internally. The locus of $P$ is

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Important Questions on The Straight Line

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IMPORTANT

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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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2021 (04-Aug Shift-2)>Q 11

The locus of a point

P

which moves such that the sum of its distances from two perpendicular lines is equal to

1

is a

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IMPORTANT

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 =

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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 13

If a point

P (x, y)

moves such that the sum of the squares of its coordinates is equal to their product, then the locus of

P

excluding origin is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 7 - The Straight Line>TS EAMCET 2020 (9-Sep Shift-1)>Q 14

If

x \cos θ + y \sin θ = p

is the normal form and

y = m x + c

is the slope - intercept form of the line

x + 2 y + 1 = 0,

then

\tan^{- 1} (\tan θ + m + c) =

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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 15

The equation of the straight line in the normal form which is parallel to the lines

x + 2 y + 3 = 0

and

x + 2 y + 8 = 0

and dividing the distance between these two lines in the ratio

1 : 2

internally is