JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

1 Easy

1 of 1

Application +4 | -1

Let a variable line of slope

\mathrm{m} > 0

passing through the point

(4,-9)

intersect the coordinate axes at the points

\mathrm{A}

and

\mathrm{B}

. the minimum value of the sum of the distances of

\mathrm{A}

and

\mathrm{B}

from the origin is

View answer and explanation

Correct option: A

Option A (25) is correct because it is the minimum value of the sum of the distances of A and B from the origin, found using the AM-GM inequality.

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)