1
AP EAPCET 2022 - 4th July Evening Shift
+1
-0

Suppose a parabola passes through $$(0,4),(1,9)$$ and $$(4,5)$$ and has its axis parallel to the $$Y$$-axis. Then, the equation of the parabola is

A
$$19 x^2+12 y-79 x-48=0$$
B
$$19 x^2+12 y-79 x+48=0$$
C
$$19 y^2+12 x-79 y-48=0$$
D
$$19 y^2+12 x-79 y+48=0$$
2
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

Suppose a parabola with focus at $$(0,0)$$ has $$x-y+1=0$$ as its tangent at the vertex. Then, the equation of its directrix is

A
$$x-y+2=0$$
B
$$x-y-2=0$$
C
$$x-y+3=0$$
D
$$x-y+4=0$$
3
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

If $$a x+b y=1$$ is a normal to the parabola $$y^2=4 p x$$, then the condition is

A
$$4 a b=a^2+b^2$$
B
$$4 p a b+a b^3=a^2 b^2$$
C
$$p a^3=b^2-2 p a b^2$$
D
$$p a^2+4 p a=a+b$$
4
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

The coordinates of the focus of the parabola described parametrically by $$x=5t^2+2$$ and $$y=10t+4$$ (where t is a parameter) are

A
(7, 4)
B
(3, 4)
C
(3, $$-$$4)
D
($$-$$7, 4)
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