JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

1 Easy

1 of 1

Application +4 | -1

A(6,3), B(-3,5), C(4,-2)

and

D(x, 3 x)

are four points. If the ratio of area of

\triangle D B C

and

\triangle A B C

1: 2

, then the value of

x

, will be

View answer and explanation

Correct option: A

\frac{11}{8}

Option A (

\frac{11}{8}

) is correct because it is the value of x that satisfies the given ratio of areas of the two triangles, calculated using the area formula.

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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)