1
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+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
$$p a^2+4 p a=a+b$$
2
AP EAPCET 2021 - 20th August Morning Shift
MCQ (Single Correct Answer)
+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)
3
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

Find the equation of the parabola which passes through (6, $$-$$2), has its vertex at the origin and its axis along the Y-axis.

A
$$y^2=18x$$
B
$$x^2=18y$$
C
$$y^2=-18x$$
D
$$x^2=-18y$$
4
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If one end of focal chord of the parabola $$y^2=8x$$ is $$\left(\frac{1}{2},2\right)$$, then the length of the focal chord is ................ units.

A
$$\frac{625}{4}$$
B
$$\frac{5}{\sqrt2}$$
C
$$\frac{25}{2}$$
D
25
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