JEE MATHEMATICS MCQ: 3D GEOMETRY SYSTEM

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Application +4 | -1

The locus of a point

P

which moves such that

2PA = 3PB

, where

A\left( {0,\;0} \right)

and

B\left( {4,\; - 3} \right)

are points, is

View answer and explanation

Correct option: B

5{x^2} + 5{y^2} - 72x + 54y + 225 = 0

Option B (

5{x^2} + 5{y^2} - 72x + 54y + 225 = 0

) is correct because it represents the locus of point P satisfying the condition

2PA = 3PB

, derived by squaring both sides and simplifying the equation.

More Questions from 3D GEOMETRY SYSTEM

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\left( { - 10,\;8} \right)

\left( { - 6,\;12} \right)

\left( {4,\; - 2} \right)

\left( { - 2,\;4} \right)

y z

(1,-2,4)

(3,-4

5)

p

2 x+y-3=0

3 x-y-2=0

x-p y+5=0

O\left( {0,0} \right),A\left( {a,0} \right)

B\left( {0,a} \right).

A(1,0,3)

B(4,7,1)

C(3,5,3)

\frac{x}{1}=\frac{y}{2}=\frac{z}{3}, \frac{x}{2}=\frac{y}{1}=\frac{z}{3}

\frac{x-1}{1}=\frac{2-y}{2}, z=3