Question

the equation to tje locus of p for which the distance from p to (0,5) is double tje distance from p to x axis​

Answer 1

Step-by-step explanation:

locus of a point P for ...

1 answer

The equation to the locus of a point P for which the distance from P to (0, 5) is double the distance from P to y-axis is · 3x2+y2+10y−25=0 · 3x2−y2+10y+25=0 · 3 ...

Answer 2

Answer:

Correct option is

C

3x

2

−y

2

+10y−25=0

Let P(x,y) be an arbitrary point in X−Y plane.

Therefore distance of P from A(0,5) is

PA=

x

2

+(y−5)

2

...(i)

And distance of P from y axis.

d

y

=∣x∣

It is given that

2d

y

=PA

Or

2∣x∣=

x

2

+(y−5)

2

4x

2

=x

2

+(y−5)

2

3x

2

−(y−5)

2

=0

3x

2

−y

2

+10y−25=0

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