JEE MATHEMATICS MCQ: STRAIGHT LINES

1 Medium

1 of 1

Application +4 | -1

A variable line drawn through the point

(1,3)

meets the

X

-axis at

A

and

Y

-axis at

B

. If the rectangle

O A P B

is completed, where

O

is the origin, then locus of

P

View answer and explanation

Correct option: C

\frac{1}{x}+\frac{3}{y}=1

Option C (

\frac{1}{x}+\frac{3}{y}=1

) is correct because it represents the locus of point P, derived from the equation of a line passing through (1,3) and intersecting the X and Y axes.

More Questions from STRAIGHT LINES

Practice All Chapter MCQs →

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