1
TG EAPCET 2024 (Online) 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the normal drawn at the point $P(9,9)$ on the parabola $y^2=9 x$ meets the parabola again at $Q(a, b)$, then $2 a+b=$
A
54
B
$\frac{99}{2}$
C
$\frac{63}{2}$
D
27
2
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$P$ and $Q$ are the extremities of a focal chord of the parabola $y^2=4 a x$. If $P=(9,9)$ and $Q=(p, q)$, then $p-q=$
A
$-\frac{27}{16}$
B
$\frac{63}{16}$
C
$\frac{45}{16}$
D
$\frac{81}{16}$
3
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The number of normals that can be drawn through the point $(9,6)$ to the parabola $y^2=4 x$ is
A
0
B
1
C
2
D
3
4
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $(2,3)$ is the focus and $x-y+3=0$ is the directrix of a parabola, then the equation of the tangent drawn at the vertex of the parabola is
A
$x-y-2=0$
B
$x-y+2=0$
C
$x-y+5=0$
D
$x-y-5=0$
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