1
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $(4,3)$ and $(1,-2)$ are the end points of a diagonal of a square, then the equation of one of its sides is
A
$4 x+y-11=0$
B
$2 x+y=0$
C
$2 x-3 y+1=0$
D
$x-4 y-9=0$
2
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
Area of the triangle bounded by the lines given by the equations $12 x^2-20 x y+7 y^2=0$ and $x+y-1=0$ is
A
$\frac{8}{29}$
B
$\frac{8}{39}$
C
$\frac{4}{29}$
D
$\frac{4}{39}$
3
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

A line $L$ has intercepts $a$ and $b$ on the coordinate axes. When the coordinate axes are rotated through an angle $\alpha$ and keeping the origin fixed, the same line $L$ has intercepts $p$ and $q$ on the new axes. Then,

A
$a^2+b^2=p^2+q^2$
B
$a^2+p^2=b^2+q^2$
C
$\frac{1}{a^2}+\frac{1}{p^2}=\frac{1}{b^2}+\frac{1}{q^2}$
D
$\frac{1}{a^2}+\frac{1}{b^2}=\frac{1}{p^2}+\frac{1}{q^2}$
4
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

Two lines $L_1$ and $L_2$ passing through the point $P(1,2)$ cut the line $x+y=4$ at a distance of $\frac{\sqrt{6}}{3}$ units from $P$. Then, the angles made by $L_1, L_2$ with positive $X$-axis are

A
$\frac{\pi}{3}, \frac{\pi}{6}$
B
$\frac{\pi}{8}, \frac{3 \pi}{8}$
C
$\frac{\pi}{12}, \frac{5 \pi}{12}$
D
$\frac{\pi}{4}, \frac{\pi}{8}$
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