1
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
$P$ and $Q$ are the points of trisection of the line segment joining the points $(3,-7)$ and $(-5,3)$. If $P Q$ subtends right angle at a variable point $R$, then the locus of $R$ is
A
a circle with radius $\frac{\sqrt{41}}{3}$
B
a circle with radius $\sqrt{409}$
C
a pair of straight lines passing through $(-1,-2)$
D
a pair of straight lines passing through $(1,2)$
2
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $A(1,2), B(2,1)$ are two vertices of an acute angled triangle and $S(0,0)$ is its circumcenter, then the angle subtended by $A B$ at the third vertex is
A
$\tan ^{-1}\left(\frac{1}{3}\right)$
B
$\tan ^{-1}\left(\frac{1}{2}\right)$
C
$\frac{\pi}{4}$
D
$\frac{\pi}{6}$
3
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
A circle passing through the points $(1,1)$ and $(2,0)$ touches the line $3 x-y-1=0$. If the equation of this circle is $x^{2}+y^{2}+2 g x+2 f y+c=0$, then a possible value of $g$ is
A
$-\frac{5}{2}$
B
$-\frac{3}{2}$
C
6
D
-5
4
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
A circle passes through the points $(2,0)$ and $(1,2)$. If the power of the point $(0,2)$ with respect to this circle is 4 , then the radius of the circle is
A
2
B
$\sqrt{\frac{5}{2}}$
C
$\sqrt{5}$
D
4
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