1
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
$\frac{81}{16}$
2
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
3
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
$x-y-5=0$
4
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The equation of the common tangent to the parabola $y^2=8 x$ and the circle $x^2+y^2=2$ is $a x+b y+2=0$. If $-\frac{a}{b}>0$, then $3 a^2+2 b+1=$
A
5
B
4
C
3
D
2
TS EAMCET Subjects
EXAM MAP