JEE MATHEMATICS MCQ: STRAIGHT LINES

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Analyzing +4 | -1

The sides of a rhombus

A B C D

are parallel to the lines,

x-y+2=0

and

7 x-y+3=0

. If the diagonals of the rhombus intersect at

P(1,2)

and the vertex

A

(different from the origin) is on the

y

-axis, then the ordinate of

A

View answer and explanation

Correct option: D

\frac{5}{2}

Option D (

\frac{5}{2}

) is correct because it is the y-coordinate of point A, found by using the properties of a rhombus and angle bisectors.

More Questions from STRAIGHT LINES

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x-3 y=p, a x+2 y=q

a x+y=r

\left\{ {a{t_1}{t_2},\;a\left( {{t_1} + {t_2})\} ,\{ a{t_2}{t_3},a({t_2} + {t_3}} \right)} \right\},\;\left\{ {a{t_3}{t_1},\;a\left( {{t_3} + {t_1}} \right)} \right\}

y = 2\;x + 4

6x = 3y + 5

{x^2} + {y^2} + 2xy - 8ax - 8ay - 9{a^2} = 0

(3,8)

x+3 y=7

\left( {{x^2} + 7xy + 2{y^2}} \right)\left( {y - 1} \right) = 0