JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

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The locus of a point

P

which moves in such a way that the segment

O P

, where

O

is the origin, has slope

\sqrt{3}

View answer and explanation

Correct option: D

\sqrt{3} x-y=0

Option D (

\sqrt{3} x-y=0

) is correct because the slope of OP is y/x, and setting that equal to

\sqrt{3}

and rearranging gives the equation of the locus.

More Questions from 2D GEOMETRY SYSTEM

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\alpha

(\alpha, 2 \alpha)

\Delta A B C

A(0,2), B(2,0)

C(4,4)

P

2 P A=3 P B

A

(0,0)

B

(4,-3)

(1, \sqrt{3}),(0,0)

(2,0)

(1,5),(-3,1) \,\&\,(-2,1)

9 x^2-16 y^2-18 x+32 y-23

=0

25 x^2+9 y^2-50 x-18 y+33=0

(0,0)(3,0)

(0,4)