4 different pairs of lines are given in List I and the cosine of the angle between every pair of lines is given in List II. Match the following :
List-I
List-II
(A) quad5x^(2)+2sqrt7xy-y^(2)=0
(I) (sqrt3)/(2)
(B) quadx^(2)+sqrt11xy+2y^(2)=0
(II) ((1)/(2sqrt3))
(C) quadx^(2)+2sqrt2xy+y^(2)=0
(III) (1)/(2)
(D) quad3x^(2)+4sqrt2xy+y^(2)=0
(IV) ((2)/(3))
(V) (1)/(sqrt2)
$$
\text { The correct match is }
$$
A
A
B
C
D
III
I
V
II
B
A
B
C
D
III
I
IV
V
C
A
B
C
D
III
I
V
IV
D
A
B
C
D
III
V
II
IV
2
TS EAMCET 2022 (Online) 20th July Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $a x^2+6 x y-2 y^2=0$ represents a pair of perpendicular lines and $9 x^2+2 h x y+4 y^2=0(h>0)$ represents a pair of coincident lines, then $h=$
A
$3 a$
B
$2 a$
C
$a$
D
$4 a$
3
TS EAMCET 2022 (Online) 20th July Morning Shift
MCQ (Single Correct Answer)
+1
-0
The line $x+2 y=k$ meets the curve $2 x^2-2 x y+3 y^2+2 x-y-1=0$ at two points $A$ and $B$. Let $O$ be the origin. If the line segments $O A$ and $O B$ are perpendicular to each other, then $k=$
A
$\pm 1$
B
$\pm 2$
C
$\pm 3$
D
4
4
TS EAMCET 2022 (Online) 20th July Morning Shift
MCQ (Single Correct Answer)
+1
-0
Let the centre of the circle $S=0$ lie on the line $x+y-5=0$ and also lie in the first quadrant. If this circle touches both the lines $x-2=0$ and $y-5=0$, then the area of the circle is