NIMCET 2023 Question Paper with solutions

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Question : 2 of 120

Marks: +1, -0

A

point

P

in the first quadrant, lies on

y^2=4 a x, a>0

and keeps a distance of

5 a

units from its focus. Which of the following point lies on the locus of

{\P}

?

$(0,1)$
$(1,1)$
$(2,0)$
$(1,0)$

Solution:

a+a t^2\;=5 a

1+t^2\;=5

t^2\;=4

t\;= ± 2

t\;>0 ⇒ t=2

Hence,

{\P} ≡(4 a, 4 a)

From given options only

(1,1)

satisfy

P

.

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