If equation of parabola is given by, p(x) =x^2 -5x +6
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y
2
=6x
Here, 4a=6
⇒a=
2
3
(1) Vertex of the parabola is O(0,0)
negative end of latusrectum is (a,−2a)
⇒L(
2
3
,−3)
Equation of OL is
y−0=
2
3
−0
−3−0
(x−0)
y=−2x
y+2x=0
(2) When x=24
y
2
=6(24)
y
2
=144
⇒y=12
⇒P(24,12)
Equation of chord through P with slope m is
y−12=m(x−24)
Step-by-step explanation:
hope u understood
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