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Eccentricity of Ellipse

A variable li...

Question

A variable line whose slope is -2 cuts the x ans y axes respectively at points A nad C. A rhombus ABCD is completed such that vertex B lies on the line y = x. Then the locus of vertex D is :

A

2 x + y = 1

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B

x - y = 0

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C

x + y = 0

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D

x + 2 y = 0

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Solution

The correct option is C $x + y = 0$

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Similar questions

Q. A variable line whose slope is

- 2

x

y

axes respectively at points

A

C

A B C D

is completed such that vertex

B

lies on the line

y = x

. Then the locus of vertex

D

Q. A variable straight line through

A (- 1, - 1)

is drawn to cut the circle

x^{2} + y^{2} = 1

B, C .

P

is chosen on the line

A B C

A B, A P, A C

A . P

then the locus of

P

Q. A variable straight line through

A (- 1, - 1)

is drawn to cut the circle

x^{2} + y^{2} = 1

B, C .

P

is chosen on the line

A B C

A B, A P, A C

H . P

then the locus of

P

Q. A straight line

L_{1} : \frac{x}{a} + \frac{y}{b} = 1

x

y

P

Q

respectively and a straight line

L_{2}

perpendicular to

L_{1}

x

y

R

S

respectively. The locus of the point of intersection of the lines

P S

Q R

\frac{x}{a} + \frac{y}{b} = 1

cuts the axis at

A

B

,another line perpendicular to

A B

cuts the axes at

P, Q

respectively.Locus of points of intersection of

A Q

B P

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