1
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The line $21 x+5 y=k$ touches the hyperbola $7 x^2-5 y^2=232$, then $k$ is equal to
A
116
B
232
C
$58^{\prime}$
D
110
2
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the equation $\frac{x^2}{7-k}+\frac{y^2}{5-k}=1$ represents a hyperbola, then
A
$5
B
$k<5$ or $k>7$
C
$k<5$
D
$k \neq 5, \quad k \neq 7, \quad-\infty
3
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

The transformed equation of $x^2-y^2+2 x+4 y=0$ when the origin is shifted to the point $(-1,2)$ is

A
$x^2+y^2=1$
B
$x^2+3 y^2=1$
C
$x^2-y^2+3=0$
D
$4 x^2+9 y^2=36$
4
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the ellipse $4 x^2+9 y^2=36$ is confocal with a hyperbola whose length of the transverse axis is 2 , then the points of intersection of the ellipse and hyperbola lie on the circle
A
$x^2+y^2=81$
B
$x^2+y^2=16$
C
$x^2+y^2=25$
D
$x^2+y^2=5$
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