JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

1 Easy

1 of 1

Application +4 | -1

A line meets

x

-axis at

A

and

y

-axis at

B

such that incentre of the triangle

O A B

(1,1)

. Equation of

A B

View answer and explanation

Correct option: B

3 x+4 y=12

Option B (

3x + 4y = 12

) is correct because the perpendicular distance from the incenter (1,1) to the line equals the inradius, which is 1.

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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)